This question tests 4th grade ability to add and subtract mixed numbers with like denominators, using strategies such as converting to improper fractions or using properties of operations (CCSS.4.NF.3.c). Mixed numbers combine a whole number and a fraction (like 2 1/4). To add or subtract mixed numbers with the same denominator, we can either: (1) convert both to improper fractions, add/subtract, then convert back to mixed number, or (2) add/subtract the whole number parts and fraction parts separately using properties of operations. For subtraction, if the fraction part being subtracted is larger than the fraction part starting with, we must regroup by converting 1 whole into fractions. To subtract 5 3/4 and 2 1/4, students can convert to improper fractions: 23/4 and 9/4, then subtract numerators: 14/4 = 3 2/4 = 3 1/2, or subtract separately: whole parts (5-2=3) and fraction parts (3/4 - 1/4=2/4=1/2), then combine: 3 1/2. Choice B is correct because subtracting separately: 5-2=3, 3/4-1/4=2/4=1/2, combining 3 1/2. This demonstrates understanding of mixed number operations with like denominators. Choice C represents subtracting the wholes correctly but subtracting fractions as 3/4 - 1/4 = 1/2 and then mistakenly reducing the whole by 1, which happens when students unnecessarily regroup. To help students: Practice both methods. For improper fraction method: convert mixed to improper (a×c+b)/c, add/subtract numerators keeping denominator same, convert result back to mixed (divide numerator by denominator for quotient=whole, remainder=numerator). For separate parts method: add/subtract wholes, add/subtract fractions, combine. For subtraction, watch for regrouping only when needed. Check answers: subtraction result should be < minuend. Watch for: arithmetic errors in fractions, or regrouping when not required.

This question tests 4th grade ability to add and subtract mixed numbers with like denominators, using strategies such as converting to improper fractions or using properties of operations (CCSS.4.NF.3.c). Mixed numbers combine a whole number and a fraction (like 1 3/4). To add or subtract mixed numbers with the same denominator, we can either: (1) convert both to improper fractions, add/subtract, then convert back to mixed number, or (2) add/subtract the whole number parts and fraction parts separately using properties of operations. For subtraction, if the fraction part being subtracted is larger than the fraction part starting with, we must regroup by converting 1 whole into fractions. To add 1 3/4 and 2 2/4 by adding separately: whole parts (1+2=3) and fraction parts (3/4 + 2/4 =5/4=1 1/4), then combine: 3 +1 1/4=4 1/4. Choice C is correct because adding separately: 1+2=3, 3/4+2/4=5/4, which is 1 1/4, combining: 4 1/4, demonstrating understanding of mixed number operations with like denominators. Choice B represents not converting the improper fraction back properly, which happens when students stop after adding fractions without carrying over the whole. To help students: Practice both methods. For improper fraction method: convert mixed to improper (a b/c = (a×c+b)/c), add/subtract numerators keeping denominator same, convert result back to mixed (divide numerator by denominator for quotient=whole, remainder=numerator). For separate parts method: add/subtract wholes (1+2=3), add/subtract fractions (3/4+2/4=5/4), combine (3 +1 1/4=4 1/4). Check answers: addition result should be > either addend. Watch for: conversion errors, not converting improper back to mixed, and forgetting to carry over.

This question tests 4th grade ability to add and subtract mixed numbers with like denominators, using strategies such as converting to improper fractions or using properties of operations (CCSS.4.NF.3.c). Mixed numbers combine a whole number and a fraction (like 1 2/8). To add or subtract mixed numbers with the same denominator, we can either: (1) convert both to improper fractions, add/subtract, then convert back to mixed number, or (2) add/subtract the whole number parts and fraction parts separately using properties of operations. For subtraction, if the fraction part being subtracted is larger than the fraction part starting with, we must regroup by converting 1 whole into fractions. To add 1 2/8 and 2 3/8, students can convert to improper: 10/8 and 19/8, add: 29/8 = 3 5/8, or add separately: wholes (1+2=3), fractions (2/8+3/8=5/8), combine: 3 5/8. Choice A is correct because adding separately: 1+2=3, 2/8+3/8=5/8, combining: 3 5/8, demonstrating understanding of mixed number operations with like denominators. Choice B represents adding denominators by mistake, which happens when students think denominators change in addition. To help students: Practice both methods. For improper fraction method: convert mixed to improper (a b/c = (a×c+b)/c), add/subtract numerators keeping denominator same, convert result back to mixed (divide numerator by denominator for quotient=whole, remainder=numerator). For separate parts method: add/subtract wholes, add/subtract fractions, combine. Check answers: addition result > either addend. Watch for: adding denominators, conversion errors, and not carrying over if needed.

This question tests 4th grade ability to add and subtract mixed numbers with like denominators, using strategies such as converting to improper fractions or using properties of operations (CCSS.4.NF.3.c). Mixed numbers combine a whole number and a fraction (like 2 1/4). To add or subtract mixed numbers with the same denominator, we can either: (1) convert both to improper fractions, add/subtract, then convert back to mixed number, or (2) add/subtract the whole number parts and fraction parts separately using properties of operations. To add 2 1/3 and 3 2/3, students can add separately: whole parts (2+3=5) and fraction parts (1/3 + 2/3 = 3/3), then combine, finding the sum. Choice B is correct because adding separately: 2+3=5, 1/3+2/3=3/3=1, combining: 5 + 1 = 6. This demonstrates understanding of mixed number operations with like denominators. Choice C represents writing 3/3 as a fraction instead of recognizing it equals 1 whole, which happens when students don't convert improper fractions. To help students: Practice both methods. When fraction sum equals denominator (like 3/3), it equals 1 whole. Add this to whole parts: 5 + 1 = 6. Remember: n/n always equals 1 whole.

This question tests 4th grade ability to add and subtract mixed numbers with like denominators, using strategies such as converting to improper fractions or using properties of operations (CCSS.4.NF.3.c). Mixed numbers combine a whole number and a fraction (like 2 1/4). To add or subtract mixed numbers with the same denominator, we can either: (1) convert both to improper fractions, add/subtract, then convert back to mixed number, or (2) add/subtract the whole number parts and fraction parts separately using properties of operations. For subtraction, if the fraction part being subtracted is larger than the fraction part starting with, we must regroup by converting 1 whole into fractions. To subtract 5 7/8 and 3 2/8, students can convert to improper fractions: 47/8 and 26/8, then subtract numerators: 21/8 = 2 5/8, or subtract separately: whole parts (5-3=2) and fraction parts (7/8 - 2/8=5/8), then combine: 2 5/8. Choice A is correct because subtracting separately: 5-3=2, 7/8-2/8=5/8, combining 2 5/8. This demonstrates understanding of mixed number operations with like denominators. Choice D represents subtracting the wholes as 5-3=2 but then subtracting fractions incorrectly or perhaps regrouping unnecessarily, leading to 1 5/8, which happens when students misapply regrouping. To help students: Practice both methods. For improper fraction method: convert mixed to improper (a×c+b)/c, add/subtract numerators keeping denominator same, convert result back to mixed (divide numerator by denominator for quotient=whole, remainder=numerator). For separate parts method: add/subtract wholes, add/subtract fractions, combine. For subtraction, regroup only if needed. Check answers: subtraction result should be < minuend. Watch for: subtraction errors in fractions, or confusing addition with subtraction.

This question tests 4th grade ability to add and subtract mixed numbers with like denominators, using strategies such as converting to improper fractions or using properties of operations (CCSS.4.NF.3.c). Mixed numbers combine a whole number and a fraction (like 2 1/4). To add or subtract mixed numbers with the same denominator, we can either: (1) convert both to improper fractions, add/subtract, then convert back to mixed number, or (2) add/subtract the whole number parts and fraction parts separately using properties of operations. For subtraction, if the fraction part being subtracted is larger than the fraction part starting with, we must regroup by converting 1 whole into fractions. To add 2 3/6 and 1 1/6, students can add whole numbers and fractions separately: wholes (2+1=3) and fractions (3/6 + 1/6=4/6), then combine: 3 4/6. Choice A is correct because adding separately: 2+1=3, 3/6+1/6=4/6, combining 3 4/6. This demonstrates understanding of mixed number operations with like denominators. Choice B represents adding the fractions as 4/6 but writing it as 2/6, perhaps by subtracting instead, which happens when students use the wrong operation on the fractions. To help students: Practice both methods. For improper fraction method: convert mixed to improper (a×c+b)/c, add/subtract numerators keeping denominator same, convert result back to mixed (divide numerator by denominator for quotient=whole, remainder=numerator). For separate parts method: add/subtract wholes (2+1=3), add/subtract fractions (3/6+1/6=4/6), combine (3 4/6). Check answers: addition result should be > either addend. Watch for: adding denominators instead of keeping them the same, or not combining parts correctly.

This question tests 4th grade ability to add and subtract mixed numbers with like denominators, using strategies such as converting to improper fractions or using properties of operations (CCSS.4.NF.3.c). Mixed numbers combine a whole number and a fraction (like 4 7/8). To add or subtract mixed numbers with the same denominator, we can either: (1) convert both to improper fractions, add/subtract, then convert back to mixed number, or (2) add/subtract the whole number parts and fraction parts separately using properties of operations. For subtraction, if the fraction part being subtracted is larger than the fraction part starting with, we must regroup by converting 1 whole into fractions. To subtract 4 7/8 - 2 3/8, students can convert to improper fractions: 39/8 and 19/8, then subtract numerators: 20/8 = 2 4/8 = 2 1/2, or subtract separately: whole parts (4-2=2) and fraction parts (7/8 - 3/8 =4/8), then combine: 2 4/8 = 2 1/2. Choice B is correct because subtracting separately: 4-2=2, 7/8-3/8=4/8=1/2, combining: 2 1/2, demonstrating understanding of mixed number operations with like denominators. Choice A represents not simplifying 4/8 to 1/2, which happens when students forget to reduce fractions after operations. To help students: Practice both methods. For improper fraction method: convert mixed to improper (a b/c = (a×c+b)/c), add/subtract numerators keeping denominator same, convert result back to mixed (divide numerator by denominator for quotient=whole, remainder=numerator). For separate parts method: add/subtract wholes (4-2=2), add/subtract fractions (7/8-3/8=4/8), combine (2 4/8, simplify to 2 1/2). For subtraction, watch for regrouping if needed. Check answers: subtraction result should be < minuend. Watch for: conversion errors, forgetting to regroup when needed, and not simplifying fractions.

This question tests 4th grade ability to add and subtract mixed numbers with like denominators, using strategies such as converting to improper fractions or using properties of operations (CCSS.4.NF.3.c). Mixed numbers combine a whole number and a fraction (like 2 1/4). To add or subtract mixed numbers with the same denominator, we can either: (1) convert both to improper fractions, add/subtract, then convert back to mixed number, or (2) add/subtract the whole number parts and fraction parts separately using properties of operations. For subtraction, if the fraction part being subtracted is larger than the fraction part starting with, we must regroup by converting 1 whole into fractions. To add 2 3/6 and 1 1/6, students can add whole numbers and fractions separately: wholes (2+1=3) and fractions (3/6 + 1/6=4/6), then combine: 3 4/6. Choice A is correct because adding separately: 2+1=3, 3/6+1/6=4/6, combining 3 4/6. This demonstrates understanding of mixed number operations with like denominators. Choice B represents adding the fractions as 4/6 but writing it as 2/6, perhaps by subtracting instead, which happens when students use the wrong operation on the fractions. To help students: Practice both methods. For improper fraction method: convert mixed to improper (a×c+b)/c, add/subtract numerators keeping denominator same, convert result back to mixed (divide numerator by denominator for quotient=whole, remainder=numerator). For separate parts method: add/subtract wholes (2+1=3), add/subtract fractions (3/6+1/6=4/6), combine (3 4/6). Check answers: addition result should be > either addend. Watch for: adding denominators instead of keeping them the same, or not combining parts correctly.

This question tests 4th grade ability to add and subtract mixed numbers with like denominators, using strategies such as converting to improper fractions or using properties of operations (CCSS.4.NF.3.c). Mixed numbers combine a whole number and a fraction (like 2 1/4). To add or subtract mixed numbers with the same denominator, we can either: (1) convert both to improper fractions, add/subtract, then convert back to mixed number, or (2) add/subtract the whole number parts and fraction parts separately using properties of operations. For subtraction, if the fraction part being subtracted is larger than the fraction part starting with, we must regroup by converting 1 whole into fractions. To subtract 5 3/4 and 2 1/4, students can convert to improper fractions: 23/4 and 9/4, then subtract numerators: 14/4 = 3 2/4 = 3 1/2, or subtract separately: whole parts (5-2=3) and fraction parts (3/4 - 1/4=2/4=1/2), then combine: 3 1/2. Choice B is correct because subtracting separately: 5-2=3, 3/4-1/4=2/4=1/2, combining 3 1/2. This demonstrates understanding of mixed number operations with like denominators. Choice C represents subtracting the wholes correctly but subtracting fractions as 3/4 - 1/4 = 1/2 and then mistakenly reducing the whole by 1, which happens when students unnecessarily regroup. To help students: Practice both methods. For improper fraction method: convert mixed to improper (a×c+b)/c, add/subtract numerators keeping denominator same, convert result back to mixed (divide numerator by denominator for quotient=whole, remainder=numerator). For separate parts method: add/subtract wholes, add/subtract fractions, combine. For subtraction, watch for regrouping only when needed. Check answers: subtraction result should be < minuend. Watch for: arithmetic errors in fractions, or regrouping when not required.

This question tests 4th grade ability to add and subtract mixed numbers with like denominators, using strategies such as converting to improper fractions or using properties of operations (CCSS.4.NF.3.c). Mixed numbers combine a whole number and a fraction (like 3 5/6). To add or subtract mixed numbers with the same denominator, we can either: (1) convert both to improper fractions, add/subtract, then convert back to mixed number, or (2) add/subtract the whole number parts and fraction parts separately using properties of operations. For subtraction, if the fraction part being subtracted is larger than the fraction part starting with, we must regroup by converting 1 whole into fractions. To subtract 3 5/6 - 1 1/6, students can convert to improper: 23/6 - 7/6 = 16/6 = 2 4/6, or subtract separately: wholes (3-1=2), fractions (5/6 - 1/6=4/6), combine: 2 4/6. Choice A is correct because subtracting separately: 3-1=2, 5/6-1/6=4/6, combining: 2 4/6, demonstrating understanding of mixed number operations with like denominators. Choice B represents subtracting fractions incorrectly, which happens when students subtract numerators wrong or confuse signs. To help students: Practice both methods. For improper fraction method: convert mixed to improper (a b/c = (a×c+b)/c), add/subtract numerators keeping denominator same, convert result back to mixed (divide numerator by denominator for quotient=whole, remainder=numerator). For separate parts method: add/subtract wholes (3-1=2), add/subtract fractions (5/6-1/6=4/6), combine (2 4/6). For subtraction, watch for regrouping if needed (not here). Check answers: result < minuend. Watch for: conversion errors, forgetting to regroup when needed, and arithmetic mistakes.