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ISEE Middle Level Quantitative : Numbers and Operations

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

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All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #371 : Fractions

On Friday it snowed $\frac{2}{12}$ $\displaystyle \frac{2}{12}$ of an inch in the afternoon and $\frac{2}{12}$ $\displaystyle \frac{2}{12}$ of an inch in the evening. What was the total amount of snowfall on Friday?

Possible Answers:

$\frac{3}{12}$ $\displaystyle \frac{3}{12}$

$\frac{4}{12}$ $\displaystyle \frac{4}{12}$

$\frac{2}{12}$ $\displaystyle \frac{2}{12}$

$\frac{6}{12}$ $\displaystyle \frac{6}{12}$

$\frac{5}{12}$ $\displaystyle \frac{5}{12}$

Correct answer:

$\frac{4}{12}$ $\displaystyle \frac{4}{12}$

Explanation:

To solve this problem, we are putting the amount of snowfall from the afternoon and the evening together, so we add the fractions.

$\frac{2}{12}+\frac{2}{12}=\frac{4}{12}$ $\displaystyle \frac{2}{12}+\frac{2}{12}=\frac{4}{12}$

4 12

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Example Question #31 : Adding Fractions In Word Problems

On Thursday it snowed $\frac{2}{12}$ $\displaystyle \frac{2}{12}$ of an inch in the afternoon and $\frac{1}{12}$ $\displaystyle \frac{1}{12}$ of an inch in the evening. What was the total amount of snowfall on Thursday?

Possible Answers:

$\frac{7}{12}$ $\displaystyle \frac{7}{12}$

$\frac{3}{12}$ $\displaystyle \frac{3}{12}$

$\frac{5}{12}$ $\displaystyle \frac{5}{12}$

$\frac{6}{12}$ $\displaystyle \frac{6}{12}$

$\frac{4}{12}$ $\displaystyle \frac{4}{12}$

Correct answer:

$\frac{3}{12}$ $\displaystyle \frac{3}{12}$

Explanation:

To solve this problem, we are putting the amount of snowfall from the afternoon and the evening together, so we add the fractions.

$\frac{2}{12}+\frac{1}{12}=\frac{3}{12}$ $\displaystyle \frac{2}{12}+\frac{1}{12}=\frac{3}{12}$

3 12

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Example Question #373 : Fractions

On Wednesday it snowed $\frac{1}{12}$ $\displaystyle \frac{1}{12}$ of an inch in the afternoon and $\frac{1}{12}$ $\displaystyle \frac{1}{12}$ of an inch in the evening. What was the total amount of snowfall on Wednesday?

Possible Answers:

$\frac{5}{12}$ $\displaystyle \frac{5}{12}$

$\frac{2}{12}$ $\displaystyle \frac{2}{12}$

$\frac{4}{12}$ $\displaystyle \frac{4}{12}$

$\frac{3}{12}$ $\displaystyle \frac{3}{12}$

$\frac{1}{12}$ $\displaystyle \frac{1}{12}$

Correct answer:

$\frac{2}{12}$ $\displaystyle \frac{2}{12}$

Explanation:

To solve this problem, we are putting the amount of snowfall from the afternoon and the evening together, so we add the fractions.

$\frac{1}{12}+\frac{1}{12}=\frac{2}{12}$ $\displaystyle \frac{1}{12}+\frac{1}{12}=\frac{2}{12}$

2 12

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Example Question #31 : Adding Fractions In Word Problems

On Tuesday it snowed $\frac{2}{4}$ $\displaystyle \frac{2}{4}$ of an inch in the afternoon and $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of an inch in the evening. What was the total amount of snowfall on Tuesday?

Possible Answers:

$\frac{3}{4}$ $\displaystyle \frac{3}{4}$

$\frac{2}{4}$ $\displaystyle \frac{2}{4}$

$\frac{1}{4}$ $\displaystyle \frac{1}{4}$

$\frac{4}{4}$ $\displaystyle \frac{4}{4}$

$\frac{5}{4}$ $\displaystyle \frac{5}{4}$

Correct answer:

$\frac{3}{4}$ $\displaystyle \frac{3}{4}$

Explanation:

To solve this problem, we are putting the amount of snowfall from the afternoon and the evening together, so we add the fractions.

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

3 4

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Example Question #401 : Fractions

On Monday it snowed $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of an inch in the afternoon and $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of an inch in the evening. What was the total amount of snowfall on Monday?

Possible Answers:

$\frac{3}{4}$ $\displaystyle \frac{3}{4}$

$\frac{1}{4}$ $\displaystyle \frac{1}{4}$

$\frac{4}{4}$ $\displaystyle \frac{4}{4}$

$\frac{5}{5}$ $\displaystyle \frac{5}{5}$

$\frac{2}{4}$ $\displaystyle \frac{2}{4}$

Correct answer:

$\frac{2}{4}$ $\displaystyle \frac{2}{4}$

Explanation:

To solve this problem, we are putting the amount of snowfall from the afternoon and the evening together, so we add the fractions.

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

2 4

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Example Question #261 : Build Fractions From Unit Fractions

On Saturday it snowed $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ of an inch in the afternoon and $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ of an inch in the evening. What was the total amount of snowfall on Saturday?

Possible Answers:

$\frac{2}{3}$ $\displaystyle \frac{2}{3}$

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$

$\frac{5}{3}$ $\displaystyle \frac{5}{3}$

$\frac{3}{3}$ $\displaystyle \frac{3}{3}$

$\frac{4}{3}$ $\displaystyle \frac{4}{3}$

Correct answer:

$\frac{2}{3}$ $\displaystyle \frac{2}{3}$

Explanation:

To solve this problem, we are putting the amount of snowfall from the afternoon and the evening together, so we add the fractions.

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

2 3

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

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

Possible Answers:

$\frac{2}{4}$ $\displaystyle \frac{2}{4}$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

$\frac{3}{4}$ $\displaystyle \frac{3}{4}$

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$

$\frac{2}{6}$ $\displaystyle \frac{2}{6}$

Correct answer:

$\frac{3}{4}$ $\displaystyle \frac{3}{4}$

Explanation:

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

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

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

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.

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

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Example Question #2 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

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

Possible Answers:

$\frac{7}{10}$ $\displaystyle \frac{7}{10}$

$\frac{2}{7}$ $\displaystyle \frac{2}{7}$

$\frac{1}{7}$ $\displaystyle \frac{1}{7}$

$\frac{8}{10}$ $\displaystyle \frac{8}{10}$

$\frac{7}{20}$ $\displaystyle \frac{7}{20}$

Correct answer:

$\frac{7}{10}$ $\displaystyle \frac{7}{10}$

Explanation:

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

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

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

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

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.

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

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Example Question #3 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

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

Possible Answers:

$\frac{15}{11}$ $\displaystyle \frac{15}{11}$

$\frac{3}{8}$ $\displaystyle \frac{3}{8}$

$\frac{2}{8}$ $\displaystyle \frac{2}{8}$

$\frac{11}{30}$ $\displaystyle \frac{11}{30}$

$\frac{11}{15}$ $\displaystyle \frac{11}{15}$

Correct answer:

$\frac{11}{15}$ $\displaystyle \frac{11}{15}$

Explanation:

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

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

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

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

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.

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

Report an Error

Example Question #4 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

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

Possible Answers:

$\frac{11}{28}}$ $\displaystyle \frac{11}{28}}$

$\frac{11}{14}$ $\displaystyle \frac{11}{14}$

$\frac{3}{9}$ $\displaystyle \frac{3}{9}$

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$

$\frac{14}{11}$ $\displaystyle \frac{14}{11}$

Correct answer:

$\frac{11}{14}$ $\displaystyle \frac{11}{14}$

Explanation:

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

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

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

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

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.

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

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All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Middle Level Quantitative : Numbers and Operations

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

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #371 : Fractions

Example Question #31 : Adding Fractions In Word Problems

Example Question #373 : Fractions

Example Question #31 : Adding Fractions In Word Problems

Example Question #401 : Fractions

Example Question #261 : Build Fractions From Unit Fractions

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

Example Question #2 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

Example Question #3 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

Example Question #4 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

All ISEE Middle Level Quantitative Resources

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