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SSAT Middle Level Math : Numbers and Operations

Study concepts, example questions & explanations for SSAT Middle Level Math

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All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #5 : Subtracting Mixed Numbers

$12\frac{7}{12}-4\frac{2}{12}$

Possible Answers:

$8\frac{5}{12}$

$10\frac{5}{12}$

$9\frac{5}{12}$

$9\frac{4}{12}$

$8\frac{4}{12}$

Correct answer:

$8\frac{5}{12}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

12-4=8

$\frac{7}{12}-\frac{2}{12}=\frac{5}{12}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

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Example Question #6 : Subtracting Mixed Numbers

$27\frac{9}{12}-9\frac{2}{12}$

Possible Answers:

$15\frac{7}{12}$

$17\frac{7}{12}$

$19\frac{7}{12}$

$18\frac{7}{12}$

$16\frac{7}{12}$

Correct answer:

$18\frac{7}{12}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

27-9=18

$\frac{9}{12}-\frac{2}{12}=\frac{7}{12}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

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Example Question #7 : Subtracting Mixed Numbers

$14\frac{6}{11}-5\frac{2}{11}$

Possible Answers:

$18\frac{7}{11}$

$7\frac{4}{11}$

$19\frac{8}{11}$

$8\frac{4}{11}$

$9\frac{4}{11}$

Correct answer:

$9\frac{4}{11}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

14-5=9

$\frac{6}{11}-\frac{2}{11}=\frac{4}{11}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

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Example Question #9 : Subtracting Mixed Numbers

$27\frac{4}{5}-13\frac{1}{5}$

Possible Answers:

$14\frac{4}{5}$

$14\frac{2}{5}$

$40\frac{5}{5}$

$40\frac{2}{5}$

$14\frac{3}{5}$

Correct answer:

$14\frac{3}{5}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

27-13=14

$\frac{4}{5}-\frac{1}{5}=\frac{3}{5}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

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Example Question #10 : Subtracting Mixed Numbers

$36\frac{3}{4}-16\frac{2}{4}$

Possible Answers:

$20\frac{2}{4}$

$52\frac{6}{4}$

$19\frac{1}{4}$

$20\frac{1}{4}$

$19\frac{2}{4}$

Correct answer:

$20\frac{1}{4}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

36-16=20

$\frac{3}{4}-\frac{2}{4}=\frac{1}{4}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators. n

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Example Question #31 : Add And Subtract Mixed Numbers With Like Denominators: Ccss.Math.Content.4.Nf.B.3c

$29\frac{5}{13}-8\frac{2}{13}$

Possible Answers:

$22\frac{7}{13}$

$21\frac{7}{13}$

$22\frac{3}{13}$

$21\frac{3}{13}$

$23\frac{3}{13}$

Correct answer:

$21\frac{3}{13}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

29-8=21

$\frac{5}{13}-\frac{2}{13}=\frac{3}{13}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

Report an Error

Example Question #32 : Add And Subtract Mixed Numbers With Like Denominators: Ccss.Math.Content.4.Nf.B.3c

$53\frac{5}{7}-21\frac{2}{7}$

Possible Answers:

$23\frac{3}{7}$

$35\frac{3}{7}$

$32\frac{2}{7}$

$32\frac{3}{7}$

$23\frac{2}{7}$

Correct answer:

$32\frac{3}{7}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

53-21=32

$\frac{5}{7}-\frac{2}{7}=\frac{3}{7}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

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Example Question #471 : Fractions

This year, Samantha grew $\frac{1}{6}$ of an inch, and her brother, David, grew $\frac{2}{6}$ of an inch. How much more did David grow than Samantha?

Possible Answers:

$\frac{5}{6}$

$\frac{2}{6}$

$\frac{4}{6}$

$\frac{1}{6}$

$\frac{3}{6}$

Correct answer:

$\frac{1}{6}$

Explanation:

The phrase, "how much more" tells as that we want to find the difference in how much they've grown.

$\frac{2}{6}-\frac{1}{6}=\frac{1}{6}$

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Example Question #472 : Fractions

This year, Cassie grew $\frac{3}{9}$ of an inch, and her brother, Charlie, grew $\frac{5}{9}$ of an inch. How much more did Charlie grow than Cassie?

Possible Answers:

$\frac{6}{9}$

$\frac{5}{9}$

$\frac{1}{9}$

$\frac{2}{9}$

$\frac{4}{9}$

Correct answer:

$\frac{2}{9}$

Explanation:

The phrase, "how much more" tells as that we want to find the difference in how much they've grown.

$\frac{5}{9}-\frac{3}{9}=\frac{2}{9}$

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Example Question #473 : Fractions

This year, Emily grew $\frac{1}{6}$ of an inch, and her brother, Dan, grew $\frac{4}{6}$ of an inch. How much more did Dan grow than Emily?

Possible Answers:

$\frac{3}{6}$

$\frac{5}{6}$

$\frac{4}{6}$

$\frac{2}{6}$

$\frac{1}{6}$

Correct answer:

$\frac{3}{6}$

Explanation:

The phrase, "how much more" tells as that we want to find the difference in how much they've grown.

$\frac{4}{6}-\frac{1}{6}=\frac{3}{6}$

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All SSAT Middle Level Math Resources

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SSAT Middle Level Math : Numbers and Operations

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #5 : Subtracting Mixed Numbers

Example Question #6 : Subtracting Mixed Numbers

Example Question #7 : Subtracting Mixed Numbers

Example Question #9 : Subtracting Mixed Numbers

Example Question #10 : Subtracting Mixed Numbers

Example Question #31 : Add And Subtract Mixed Numbers With Like Denominators: Ccss.Math.Content.4.Nf.B.3c

Example Question #32 : Add And Subtract Mixed Numbers With Like Denominators: Ccss.Math.Content.4.Nf.B.3c

Example Question #471 : Fractions

Example Question #472 : Fractions

Example Question #473 : Fractions

All SSAT Middle Level Math Resources

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