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ISEE Lower Level Quantitative : Operations with fractions and whole numbers

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 #1421 : Ssat Middle Level Quantitative (Math)

Solve:

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

Possible Answers:

$14\frac{2}{6}$

$13\frac{2}{3}$

$13\frac{2}{6}$

$12\frac{2}{6}$

$14\frac{2}{3}$

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.

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Example Question #1431 : Ssat Middle Level Quantitative (Math)

Solve:

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

Possible Answers:

$9\frac{3}{8}$

$9\frac{3}{4}$

$9\frac{1}4{}$

$9\frac{1}2{}$

$9\frac{2}4{}$

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 #1 : Add Fractions With Unlike Denominators

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

Possible Answers:

$\frac{2}{6}$

$\frac{1}{3}$

$\frac{2}{4}$

$\frac{1}{2}$

$\frac{3}{4}$

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 #2 : Add Fractions With Unlike Denominators

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

Possible Answers:

$\frac{7}{10}$

$\frac{1}{7}$

$\frac{7}{20}$

$\frac{2}{7}$

$\frac{8}{10}$

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 #3 : Add Fractions With Unlike Denominators

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

Possible Answers:

$\frac{2}{8}$

$\frac{15}{11}$

$\frac{11}{15}$

$\frac{3}{8}$

$\frac{11}{30}$

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 #1 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

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

Possible Answers:

$\frac{11}{28}}$

$\frac{3}{9}$

$\frac{1}{3}$

$\frac{14}{11}$

$\frac{11}{14}$

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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Example Question #144 : Operations With Fractions And Whole Numbers

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

Possible Answers:

$\frac{1}{24}$

$\frac{1}{1}$

$\frac{1}{2}$

$\frac{1}{12}$

$\frac{1}{0}$

Correct answer:

$\frac{1}{12}$

Explanation:

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

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

$\frac{3}{4}\times\frac{3}{3}=\frac{9}{12}$

$\frac{2}{3\time}\times\frac{4}{4}=\frac{8}{12}$

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

$\frac{9}{12}-\frac{8}{12}=\frac{1}{12}$

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Example Question #145 : Operations With Fractions And Whole Numbers

$\frac{8}{12}-\frac{1}4{}$

Possible Answers:

$\frac{7}{16}$

$\frac{5}{12}$

$\frac{3}{4}$

$\frac{5}{0}$

$\frac{7}{8}$

Correct answer:

$\frac{5}{12}$

Explanation:

$\frac{8}{12}-\frac{1}4{}$

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

$\frac{1}{4}\times\frac{3}{3}=\frac{3}{12}$

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

$\frac{8}{12}-\frac{3}{12}=\frac{5}{12}$

Report an Error

Example Question #3 : Subtract Fractions With Unlike Denominators

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

Possible Answers:

$\frac{7}{0}$

$\frac{4}{2}$

$\frac{8}{13}$

$\frac{3}{4}$

$\frac{7}{12}$

Correct answer:

$\frac{7}{12}$

Explanation:

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

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

$\frac{5}{6}\times\frac{2}{2}=\frac{10}{12}$

$\frac{1}{4}\times\frac{3}{3}=\frac{3}{12}$

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

$\frac{10}{12}-\frac{3}{12}=\frac{7}{12}$

Report an Error

Example Question #51 : How To Subtract Fractions

$\frac{9}{10}-\frac{3}{5}$

Possible Answers:

$\frac{3}{10}$

$\frac{3}{0}$

$\frac{5}{7}$

$\frac{6}{5}$

$\frac{3}{4}$

Correct answer:

$\frac{3}{10}$

Explanation:

$\frac{9}{10}-\frac{3}{5}$

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

$\frac{3}{5}\times\frac{2}{2}=\frac{6}{10}$

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

$\frac{9}{10}-\frac{6}{10}=\frac{3}{10}$

Report an Error

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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 : Operations with fractions and whole numbers

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #1421 : Ssat Middle Level Quantitative (Math)

Example Question #1431 : Ssat Middle Level Quantitative (Math)

Example Question #1 : Add Fractions With Unlike Denominators

Example Question #2 : Add Fractions With Unlike Denominators

Example Question #3 : Add Fractions With Unlike Denominators

Example Question #1 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

Example Question #144 : Operations With Fractions And Whole Numbers

Example Question #145 : Operations With Fractions And Whole Numbers

Example Question #3 : Subtract Fractions With Unlike Denominators

Example Question #51 : How To Subtract Fractions

All ISEE Lower Level Quantitative Resources

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