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ISEE Lower Level Quantitative : Numbers and Operations

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #361 : Fractions

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

Possible Answers:

$23\frac{3}{13}$

$21\frac{7}{13}$

$21\frac{3}{13}$

$22\frac{3}{13}$

$22\frac{7}{13}$

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.

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Example Question #362 : Fractions

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

Possible Answers:

$23\frac{3}{7}$

$32\frac{2}{7}$

$23\frac{2}{7}$

$32\frac{3}{7}$

$35\frac{3}{7}$

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 #11 : Adding Mixed Numbers

Solve:

$3\frac{1}{3}+4\frac{1}{3}$

Possible Answers:

$7\frac{1}{2}$

$7\frac{1}{3}$

$7\frac{2}{3}$

$7\frac{2}{6}$

$7\frac{2}{9}$

Correct answer:

$7\frac{2}{3}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

3+4=7

$\frac{1}{3}+\frac{1}{3}=\frac{2}{3}$

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

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Example Question #361 : Fractions

Solve:

$6\frac{1}{5}+4\frac{1}{5}$

Possible Answers:

$12\frac{2}{10}$

$10\frac{1}{5}$

$10\frac{2}{10}$

$10\frac{2}{5}$

$12\frac{2}{5}$

Correct answer:

$10\frac{2}{5}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

6+4=10

$\frac{1}{5}+\frac{1}{5}=\frac{2}{5}$

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

Report an Error

Example Question #21 : Adding Mixed Numbers

Solve:

$3\frac{1}{3}+10\frac{1}{3}$

Possible Answers:

$13\frac{2}{3}$

$14\frac{2}{3}$

$12\frac{2}{6}$

$13\frac{2}{6}$

$14\frac{2}{6}$

Correct answer:

$13\frac{2}{3}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

3+10=13

$\frac{1}{3}+\frac{1}{3}=\frac{2}{3}$

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

Report an Error

Example Question #22 : Adding Mixed Numbers

Solve:

$2\frac{1}{4}+7\frac{2}{4}$

Possible Answers:

$9\frac{2}4{}$

$9\frac{3}{8}$

$9\frac{3}{4}$

$9\frac{1}4{}$

$9\frac{1}2{}$

Correct answer:

$9\frac{3}{4}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

2+7=9

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

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

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Example Question #51 : How To Add Fractions

$\frac{1}{4}+\frac{1}{2}$

Possible Answers:

$\frac{1}{3}$

$\frac{2}{6}$

$\frac{2}{4}$

$\frac{1}{2}$

$\frac{3}{4}$

Correct answer:

$\frac{3}{4}$

Explanation:

$\frac{1}{4}+\frac{1}{2}$

In order to solve this problem, we first have to find common denominators.

$\frac{1}{2}\times\frac{2}{2}=\frac{2}{4}$

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

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

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Example Question #52 : How To Add Fractions

$\frac{1}{5}+\frac{1}{2}$

Possible Answers:

$\frac{1}{7}$

$\frac{7}{20}$

$\frac{8}{10}$

$\frac{2}{7}$

$\frac{7}{10}$

Correct answer:

$\frac{7}{10}$

Explanation:

$\frac{1}{5}+\frac{1}{2}$

In order to solve this problem, we first have to find common denominators.

$\frac{1}{5}\times\frac{2}{2}=\frac{2}{10}$

$\frac{1}{2}\times \frac{5}{5}=\frac{5}{10}$

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{2}{10}+\frac{5}{10}=\frac{7}{10}$

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Example Question #53 : How To Add Fractions

$\frac{1}{3}+\frac{2}{5}$

Possible Answers:

$\frac{11}{15}$

$\frac{11}{30}$

$\frac{15}{11}$

$\frac{2}{8}$

$\frac{3}{8}$

Correct answer:

$\frac{11}{15}$

Explanation:

$\frac{1}{3}+\frac{2}{5}$

In order to solve this problem, we first have to find common denominators.

$\frac{1}{3}\times\frac{5}5{}=\frac{5}{15}$

$\frac{2}{5}\times\frac{3}{3}=\frac{6}{15}$

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{5}{15}+\frac{6}{15}=\frac{11}{15}$

Report an Error

Example Question #54 : How To Add Fractions

$\frac{1}{2}+\frac{2}{7}$

Possible Answers:

$\frac{11}{28}}$

$\frac{11}{14}$

$\frac{14}{11}$

$\frac{3}{9}$

$\frac{1}{3}$

Correct answer:

$\frac{11}{14}$

Explanation:

$\frac{1}{2}+\frac{2}{7}$

In order to solve this problem, we first have to find common denominators.

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

$\frac{2}{7}\times\frac{2}{2}=\frac{4}{14}$

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{7}{14}+\frac{4}{14}=\frac{11}{14}$

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Lower Level Quantitative : Numbers and Operations

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #361 : Fractions

Example Question #362 : Fractions

Example Question #11 : Adding Mixed Numbers

Example Question #361 : Fractions

Example Question #21 : Adding Mixed Numbers

Example Question #22 : Adding Mixed Numbers

Example Question #51 : How To Add Fractions

Example Question #52 : How To Add Fractions

Example Question #53 : How To Add Fractions

Example Question #54 : How To Add Fractions

All ISEE Lower Level Quantitative Resources

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