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ISEE Middle Level Math : Numbers and Operations

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

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #421 : Numbers And Operations

Subtract:

$\frac{33}{45}-\frac{10}{45}=$

Possible Answers:

$\frac{23}{45}$

$\frac{43}{45}$

Correct answer:

$\frac{23}{45}$

Explanation:

Subtract the numerators and keep the denominator the same:

$\frac{33}{45}-\frac{10}{45}=\frac{23}{45}$

Answer: $\frac{23}{45}$

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Example Question #472 : Arithmetic

Solve:
$\small \frac{17}{4}-\frac{6}{8}=$

Possible Answers:

$\small \frac{11}{4}$

$\frac{13}{4}$

$\small \frac{7}{2}$

$\small \frac{11}{8}$

$\small \frac{9}{2}$

Correct answer:

$\small \frac{7}{2}$

Explanation:

The least common denominator between $\small 4$ and $\small 8$ is $\small 8.$

$\small \frac{17}{4}=\frac{34}{8}$

$\small \frac{34}{8}-\frac{6}{8}=\frac{28}{8}=\frac{7}{2}$

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Example Question #1064 : Hspt Mathematics

Solve the equation:

$\frac{65}{67}-\frac{2}{67}=$

Possible Answers:

$\frac{60}{67}$

$\frac{63}{67}$

Correct answer:

$\frac{63}{67}$

Explanation:

When subtracting fractions that have the same denominator, only the top numbers are subtracted. Subtract the numerators and leave the denominators the same:

$\frac{65}{67}-\frac{2}{67}=\frac{63}{67}$

Answer: $\frac{63}{67}$

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Example Question #1065 : Hspt Mathematics

Subtract: $\frac{52}{90}-\frac{10}{90}=$

Possible Answers:

$\frac{7}{15}$

$\frac{42}{0}$

$\frac{62}{90}$

Correct answer:

$\frac{7}{15}$

Explanation:

Subtract the numerators and keep the denominators the same:

$\frac{52}{90}-\frac{10}{90}=\frac{42}{90}$

Reduce the fraction: $\frac{42\div 2}{90 \div 2}=\frac{21}{45}$

Reduce again: $\frac{21\div 3}{45 \div 3}=\frac{7}{15}$

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Example Question #422 : Numbers And Operations

Solve:

$\frac{1}{2}-\frac{3}{7}$

Possible Answers:

$\frac{3}{5}$

$-\frac{1}{14}$

$\frac{1}{7}$

$\frac{1}{14}$

$-\frac{3}{5}$

Correct answer:

$\frac{1}{14}$

Explanation:

The lowest common denominator of 2 and 7 is 14.

$\frac{1}{2}=\frac{7}{14}$

$\frac{3}{7}=\frac{6}{14}$

$\frac{7}{14}-\frac{6}{14}=\frac{1}{14}$

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Example Question #423 : Numbers And Operations

Subtract:

$\frac{5}{15}-\frac{2}{15}=$

Possible Answers:

$\frac{3}{15}$

$\frac{1}{30}$

$\frac{1}{15}$

$\frac{7}{15}$

$\frac{6}{15}$

Correct answer:

$\frac{3}{15}$

Explanation:

Subtract the numerators and leave the denominators the same:

$\frac{5}{15}-\frac{2}{15}=\frac{3}{15}$

Answer: $\frac{3}{15}$

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Example Question #424 : Numbers And Operations

Subtract:

$\frac{3}{12}-\frac{2}{12}=$

Possible Answers:

$\frac{5}{12}$

$\frac{1}{12}$

$\frac{1}{24}$

$\frac{11}{12}$

Correct answer:

$\frac{1}{12}$

Explanation:

Subtract the numerators and leave the denominators the same:

$\frac{3}{12}-\frac{2}{12}=\frac{1}{12}$

Answer: $\frac{1}{12}$

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Example Question #425 : Numbers And Operations

Solve for the expression below.

$\frac{3}{7}-\frac{1}{3}$

Possible Answers:

$\frac{3}{21}$

$\frac{2}{21}$

$\frac{1}{7}$

$\frac{1}{21}$

Correct answer:

$\frac{2}{21}$

Explanation:

In order to subtract fractions, the least common denominator must be found for the denominator. The least common denominator of 3 and 7 is 21. Therefore, the fractions should be converted accordingly:

$\frac{3}{7}-\frac{1}{3}$

$\frac{9}{21}-\frac{7}{21}$

$\frac{2}{21}$

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Example Question #426 : Numbers And Operations

What is the solution to the expression below?

$\frac{3}{4}-\frac{7}{9}$

Possible Answers:

$\frac{1}{36}$

$-\frac{1}{36}$

Correct answer:

$-\frac{1}{36}$

Explanation:

In order to subtract fractions, the least common denominator must be found for the denominator. The least common denominator of 4 and 9 is 36. Therefore, the fractions should be converted accordingly:

$\frac{3}{4}-\frac{7}{9}$

$\frac{27}{36}-\frac{28}{36}$

$-\frac{1}{36}$

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Example Question #281 : Fractions

$\frac{20}{21}-\frac{14}{21}=$

Possible Answers:

$\frac{10}{21}$

$\frac{20}{21}$

$\frac{6}{21}$

$\frac{3}{21}$

Correct answer:

$\frac{6}{21}$

Explanation:

Subtract the numerators and keep the denominator as is:

$\frac{20}{21}-\frac{14}{21}=\frac{6}{21}$

Answer: $\frac{6}{21}$

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Middle Level Math : Numbers and Operations

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #421 : Numbers And Operations

Example Question #472 : Arithmetic

Example Question #1064 : Hspt Mathematics

Example Question #1065 : Hspt Mathematics

Example Question #422 : Numbers And Operations

Example Question #423 : Numbers And Operations

Example Question #424 : Numbers And Operations

Example Question #425 : Numbers And Operations

Example Question #426 : Numbers And Operations

Example Question #281 : Fractions

All ISEE Middle Level Math Resources

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