This question tests 4th grade understanding that a fraction a/b is a multiple of 1/b, represented as a/b = a × (1/b) using visual fraction models (CCSS.4.NF.4.a). Any fraction can be thought of as a whole number multiple of its unit fraction—the unit fraction is the fraction with 1 in the numerator (like 1/4, 1/8, 1/5). For example, 5/4 means '5 fourths,' which is the same as '5 times 1/4' or '5 copies of 1/4.' The equation form is a/b = a × (1/b), where the numerator (a) tells how many unit fractions (1/b) we have. To represent 6/11 as a multiple of 1/11, we recognize that 6/11 contains 6 copies of 1/11, so the equation is 6/11 = 6 × (1/11), and the shaded model shows 6 individual 1/11 pieces making 6/11. Choice B is correct because the equation shows 6 × (1/11) = 6/11, where the numerator 6 is the number of 1/11 units in 6/11, demonstrating understanding that fractions are built from unit fractions—6/11 is simply 6 of the 1/11 pieces. Choice A represents using the denominator as the multiplier, which happens when students confuse numerator and denominator roles. To help students: Use visual models—draw a shape divided into 11 equal parts, shade 6 to show 6/11 as 6 copies of 1/11. Emphasize: the numerator tells how many unit fractions, the denominator tells which unit fraction (elevenths).

This question tests 4th grade understanding that a fraction a/b is a multiple of 1/b, represented as a/b = a × (1/b) using visual fraction models (CCSS.4.NF.4.a). Any fraction can be thought of as a whole number multiple of its unit fraction—the unit fraction is the fraction with 1 in the numerator (like 1/4, 1/8, 1/5). For example, 5/4 means '5 fourths,' which is the same as '5 times 1/4' or '5 copies of 1/4.' The equation form is a/b = a × (1/b), where the numerator (a) tells how many unit fractions (1/b) we have. To represent 5/4 as a multiple of 1/4, we recognize that 5/4 contains 5 copies of 1/4, so the equation is 5/4 = 5 × (1/4), and counting gives us 5/4 at the 5th step. Choice C is correct because the equation shows 5 × (1/4) = 5/4, where the numerator 5 is the number of 1/4 units in 5/4, demonstrating understanding that fractions are built from unit fractions—5/4 is simply 5 of the 1/4 pieces. Choice A represents using the denominator as the multiplier, which happens when students confuse numerator and denominator roles. To help students: Count unit fractions aloud: 'one-fourth, two-fourths, three-fourths, four-fourths, five-fourths'—just like counting 1, 2, 3, 4, 5. Use number lines: mark jumps of 1/4, count 5 jumps to reach 5/4—the count is 5.

This question tests 4th grade understanding that a fraction a/b is a multiple of 1/b, represented as a/b = a × (1/b) using visual fraction models (CCSS.4.NF.4.a). Any fraction can be thought of as a whole number multiple of its unit fraction—the unit fraction is the fraction with 1 in the numerator (like 1/4, 1/8, 1/5). For example, 5/4 means '5 fourths,' which is the same as '5 times 1/4' or '5 copies of 1/4.' The equation form is a/b = a × (1/b), where the numerator (a) tells how many unit fractions (1/b) we have. To represent 7/8 as a multiple of 1/8, we recognize that 7/8 contains 7 copies of 1/8, so the equation is 7/8 = 7 × (1/8); the numerator 7 indicates the multiplier, and counting unit fractions: 1/8, 2/8, 3/8, ..., gives us 7/8 at the 7th step. Choice D is correct because the equation shows 7 × (1/8) = 7/8, and the numerator 7 is the number of 1/8 units in 7/8; this demonstrates understanding that fractions are built from unit fractions—7/8 is simply 7 of the 1/8 pieces. Choice A represents using the denominator as the multiplier, which happens when students confuse numerator and denominator roles. To help students: Use visual models—draw 7 individual 1/8-size pieces, show that combining them gives 7/8. Count unit fractions aloud: 'one-eighth, two-eighths, three-eighths, ..., seven-eighths'—just like counting 1, 2, 3, ..., 7. Emphasize: the NUMERATOR tells HOW MANY unit fractions, the DENOMINATOR tells WHICH unit fraction (eighths, etc.); connect to multiplication: 7 × (1/8) means 'seven groups of one-eighth' = 1/8 + 1/8 + ... + 1/8 (7 times).

This question tests 4th grade understanding that a fraction $a/b$ is a multiple of $1/b$, represented as $a/b = a \times(1/b)$ using visual fraction models (CCSS.4.NF.4.a). Any fraction can be thought of as a whole number multiple of its unit fraction—the unit fraction is the fraction with 1 in the numerator (like $1/4$, $1/8$, $1/5$). For example, $5/4$ means '5 fourths,' which is the same as '5 times $1/4$' or '5 copies of $1/4$.' The equation form is $a/b = a \times(1/b)$, where the numerator (a) tells how many unit fractions ($1/b$) we have. To represent $7/12$ as a multiple of $1/12$, we recognize that $7/12$ contains 7 copies of $1/12$, so the equation is $7/12 = 7 \times(1/12)$, and the numerator 7 indicates the multiplier. Choice B is correct because it shows $7 \times(1/12) = 7/12$, where the numerator 7 is the number of $1/12$ units in $7/12$, demonstrating understanding that fractions are built from unit fractions—$7/12$ is simply 7 of the $1/12$ pieces. Choice A represents using the denominator as the multiplier, which happens when students confuse numerator and denominator roles. To help students: Use visual models—draw 7 individual $1/12$-size pieces, show that combining them gives $7/12$. Connect to multiplication: $7 \times(1/12)$ means 'seven groups of one-twelfth' = $1/12$ added 7 times.

This question tests 4th grade understanding that a fraction $a/b$ is a multiple of $1/b$, represented as $a/b = a \times(1/b)$ using visual fraction models (CCSS.4.NF.4.a). Any fraction can be thought of as a whole number multiple of its unit fraction—the unit fraction is the fraction with 1 in the numerator (like $1/4$, $1/8$, $1/5$). For example, $5/4$ means '5 fourths,' which is the same as '5 times $1/4$' or '5 copies of $1/4$.' The equation form is $a/b = a \times(1/b)$, where the numerator ($a$) tells how many unit fractions ($1/b$) we have. To represent $2/9$ as a multiple of $1/9$, we recognize that $2/9$ contains 2 copies of $1/9$, so the equation is $2/9 = 2 \times(1/9)$; the numerator 2 indicates the multiplier. Choice C is correct because it shows 2 as the number of $1/9$ units in $2/9$; this demonstrates understanding that fractions are built from unit fractions—$2/9$ is simply 2 of the $1/9$ pieces. Choice A represents using the denominator as the multiplier, which happens when students confuse numerator and denominator roles or don't understand the unit fraction concept. To help students: Use visual models—draw 2 individual $1/9$-size pieces, show that combining them gives $2/9$. Count unit fractions aloud: 'one-ninth, two-ninths'—just like counting 1, 2. Emphasize: the NUMERATOR tells HOW MANY unit fractions, the DENOMINATOR tells WHICH unit fraction (ninths, etc.); connect to multiplication: $2 \times(1/9)$ means 'two groups of one-ninth' = $1/9 + 1/9$.

This question tests 4th grade understanding that a fraction $a/b$ is a multiple of $1/b$, represented as $a/b = a \times(1/b)$ using visual fraction models (CCSS.4.NF.4.a). Any fraction can be thought of as a whole number multiple of its unit fraction—the unit fraction is the fraction with 1 in the numerator (like $1/4$, $1/8$, $1/5$). For example, $5/4$ means '5 fourths,' which is the same as '$5 \times \frac{1}{4}$' or '5 copies of $1/4$.' The equation form is $a/b = a \times(1/b)$, where the numerator (a) tells how many unit fractions ($1/b$) we have. To represent $8/6$ as a multiple of $1/6$, we recognize that $8/6$ contains 8 copies of $1/6$, so the equation is $8/6 = 8 \times(1/6)$, and the numerator 8 indicates the multiplier. Choice B is correct because 8 is the number of $1/6$ units in $8/6$, demonstrating understanding that fractions are built from unit fractions—$8/6$ is simply 8 of the $1/6$ pieces. Choice A represents using the denominator as the multiplier, which happens when students confuse numerator and denominator roles. To help students: Use visual models—draw 8 individual $1/6$-size servings, show that they total $8/6$ of a cup. Connect to multiplication: $8 \times(1/6)$ means 'eight groups of one-sixth' = $1/6$ added 8 times.

This question tests 4th grade understanding that a fraction a/b is a multiple of 1/b, represented as a/b = a × (1/b) using visual fraction models (CCSS.4.NF.4.a). Any fraction can be thought of as a whole number multiple of its unit fraction—the unit fraction is the fraction with 1 in the numerator (like 1/4, 1/8, 1/5). For example, 5/4 means '5 fourths,' which is the same as '5 times 1/4' or '5 copies of 1/4.' The equation form is a/b = a × (1/b), where the numerator (a) tells how many unit fractions (1/b) we have. To represent 3/4 as a multiple of 1/4, we recognize that 3/4 contains 3 copies of 1/4, so the equation is 3/4 = 3 × (1/4); the visual model shows 3 individual 1/4 pieces combined to make 3/4. Choice B is correct because the equation shows 3 × (1/4) = 3/4, and the numerator 3 is the number of 1/4 units in 3/4; this demonstrates understanding that fractions are built from unit fractions—3/4 is simply 3 of the 1/4 pieces. Choice C represents using addition instead of multiplication, which happens when students think of adding the unit fraction instead of multiplying or don't match the operation to repeated addition. To help students: Use visual models—draw 3 individual 1/4-size pieces, show that combining them gives 3/4. Count unit fractions aloud: 'one-fourth, two-fourths, three-fourths'—just like counting 1, 2, 3. Emphasize: the NUMERATOR tells HOW MANY unit fractions, the DENOMINATOR tells WHICH unit fraction (fourths, etc.); connect to multiplication: 3 × (1/4) means 'three groups of one-fourth' = 1/4 + 1/4 + 1/4.

This question tests 4th grade understanding that a fraction a/b is a multiple of 1/b, represented as a/b = a × (1/b) using visual fraction models (CCSS.4.NF.4.a). Any fraction can be thought of as a whole number multiple of its unit fraction—the unit fraction is the fraction with 1 in the numerator (like 1/4, 1/8, 1/5). For example, 5/4 means '5 fourths,' which is the same as '5 times 1/4' or '5 copies of 1/4.' The equation form is a/b = a × (1/b), where the numerator (a) tells how many unit fractions (1/b) we have. To represent 4/5 as a multiple of 1/5, we recognize that 4/5 contains 4 copies of 1/5, so the repeated addition is 1/5 + 1/5 + 1/5 + 1/5 = 4/5, matching 4 × (1/5). Choice A is correct because it shows 1/5 added 4 times to equal 4/5, demonstrating understanding that fractions are built from unit fractions—4/5 is simply 4 of the 1/5 pieces. Choice B represents adding one extra unit fraction, which happens when students miscount the number of additions needed. To help students: Use visual models—draw 4 individual 1/5-size pieces, show adding them gives 4/5. Emphasize: the numerator tells how many times to add the unit fraction in repeated addition.

This question tests 4th grade understanding that a fraction $a/b$ is a multiple of $1/b$, represented as $a/b = a \times(1/b)$ using visual fraction models (CCSS.4.NF.4.a). Any fraction can be thought of as a whole number multiple of its unit fraction—the unit fraction is the fraction with 1 in the numerator (like $1/4$, $1/8$, $1/5$). For example, $5/4$ means '5 fourths,' which is the same as '5 times $1/4$' or '5 copies of $1/4$.' The equation form is $a/b = a \times(1/b)$, where the numerator (a) tells how many unit fractions ($1/b$) we have. To represent $9/5$ as a multiple of $1/5$, we recognize that $9/5$ contains 9 copies of $1/5$, so the equation is $9/5 = 9 \times(1/5)$; the numerator 9 indicates the multiplier, and the visual shows 9 individual $1/5$ pieces combined to make $9/5$. Choice B is correct because it shows 9 as the number of $1/5$ units in $9/5$; this demonstrates understanding that fractions are built from unit fractions—$9/5$ is simply 9 of the $1/5$ pieces. Choice A represents using the denominator as the multiplier, which happens when students confuse numerator and denominator roles or don't understand the unit fraction concept. To help students: Use visual models—draw 9 individual $1/5$-size pieces, show that combining them gives $9/5$. Count unit fractions aloud: 'one-fifth, two-fifths, ..., nine-fifths'—just like counting 1, 2, ..., 9. Emphasize: the NUMERATOR tells HOW MANY unit fractions, the DENOMINATOR tells WHICH unit fraction (fifths, etc.); connect to multiplication: $9 \times(1/5)$ means 'nine groups of one-fifth' = $1/5 + 1/5 + \cdots + 1/5$ (9 times).

This question tests 4th grade understanding that a fraction a/b is a multiple of 1/b, represented as a/b = a × (1/b) using visual fraction models (CCSS.4.NF.4.a). Any fraction can be thought of as a whole number multiple of its unit fraction—the unit fraction is the fraction with 1 in the numerator (like 1/4, 1/8, 1/5). For example, 5/4 means '5 fourths,' which is the same as '5 times 1/4' or '5 copies of 1/4.' The equation form is a/b = a × (1/b), where the numerator (a) tells how many unit fractions (1/b) we have. To represent 2/3 as a multiple of 1/3, we recognize that 2/3 contains 2 copies of 1/3, so the equation is 2/3 = 2 × (1/3), and the fraction bar model shows 2 individual 1/3 pieces making 2/3. Choice A is correct because 2 is the number of 1/3 units in 2/3, demonstrating understanding that fractions are built from unit fractions—2/3 is simply 2 of the 1/3 pieces. Choice B represents using the denominator as the multiplier, which happens when students confuse numerator and denominator roles. To help students: Use visual models—draw a bar divided into 3 equal parts, shade 2 to show 2/3 as 2 copies of 1/3. Count unit fractions aloud: 'one-third, two-thirds'—just like counting 1, 2.