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ISEE Middle Level Quantitative : How to add fractions

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 #71 : Numbers And Operations

Solve:

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

Possible Answers:

$\frac{3}{5}$

$1\frac{1}{6}$

$\frac{5}{6}$

$\frac{6}{7}$

$\frac{7}{12}$

Correct answer:

$1\frac{1}{6}$

Explanation:

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

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

$\frac{2}{3}\times\frac{2}{2}=\frac{4}{6}$

$\frac{1}{2}\times\frac{}3{3}=\frac{3}{6}$

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.

$\frac{4}{6}+\frac{3}{6}=\frac{7}{6}$

$\frac{7}{6}=1\frac{1}{6}$ because can go into one time with $\frac{1}{6}$ left over.

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Example Question #4 : Add Fractions With Unlike Denominators

Solve:

$\frac{1}{4}+\frac{4}{8}$

Possible Answers:

$\frac{1}{2}$

$\frac{3}{4}$

$\frac{5}{12}$

$\frac{12}5{}$

$\frac{8}{6}$

Correct answer:

$\frac{3}{4}$

Explanation:

$\frac{1}{4}+\frac{4}{8}$

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

$\frac{1}{4}\times\frac{2}{2}=\frac{2}{8}$

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.

$\frac{2}{8}+\frac{4}{8}=\frac{6}{8}$

$\frac{6}{8}\div\frac{2}{2}=\frac{3}{4}$

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Example Question #2046 : Common Core Math: Grade 5

Solve:

$\frac{4}6{+\frac{3}{8}}$

Possible Answers:

$\frac{1}{2}$

$1\frac{1}{24}$

$\frac{7}{14}$

$\frac{25}{48}$

$\frac{24}{25}$

Correct answer:

$1\frac{1}{24}$

Explanation:

$\frac{4}6{+\frac{3}{8}}$

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

$\frac{4}{6}\times\frac{4}{4}=\frac{16}{24}$

$\frac{3}{8}\times\frac{3}{3}=\frac{9}{24}$

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.

$\frac{16}{24}+\frac{9}{24}=\frac{25}{24}$

$\frac{25}{24}=1\frac{1}{24}$ because can go into one time with left over.

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Example Question #11 : Add Fractions With Unlike Denominators

Solve:

$\frac{7}8{+\frac{2}{4}}$

Possible Answers:

$\frac{16}{11}$

$\frac{11}{16}$

$\frac{9}{12}$

$1\frac{3}{8}$

$\frac{8}{11}$

Correct answer:

$1\frac{3}{8}$

Explanation:

$\frac{7}8{+\frac{2}{4}}$

In order to solve this problem, we first have to find common denominators. $\frac{2}{4}\times\frac{2}{2}=\frac{4}{8}$

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.

$\frac{7}{8}+\frac{4}{8}=\frac{11}{8}$

$\frac{11}{8}=1\frac{3}{8}$ because can go into one time with left over.

Report an Error

Example Question #2048 : Common Core Math: Grade 5

Solve:

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

Possible Answers:

$\frac{1}{2}$

$\frac{4}{8}$

$\frac{14}{30}$

$\frac{14}{15}$

$\frac{13}{15}$

Correct answer:

$\frac{14}{15}$

Explanation:

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

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

$\frac{3}5{} \times\frac{3}{3}=\frac{9}{15}$

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

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.

$\frac{9}{15}+\frac{5}{15}=\frac{14}{15}$

Report an Error

Example Question #72 : Fractions

Joe paited $\frac{3}{10}$ of the fence an Sara painted $\frac{1}{2}$ . How much of the fence is painted?

Possible Answers:

$\frac{4}{5}$

$\frac{3}{7}$

$\frac{4}{12}$

$\frac{7}{10}$

$\frac{9}{10}$

Correct answer:

$\frac{4}{5}$

Explanation:

$\frac{3}{10}+\frac{1}{2}$

In order to solve this problem, we first need to make common denominators.

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

Now that we have common denominators, we can add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator.

$\frac{3}{10 }+\frac{5}{10}=\frac{8}{10}$

$\frac{8}{10}$ can be reduced be dividing both sides by .

$\frac{8}{10} \div\frac{2}{2}=\frac{4}{5}$

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Example Question #71 : Numbers And Operations

Zach cleaned $\frac{1}{8}$ of the house and Alex cleaned $\frac{1}{3}$ of the house. How much of the house did they clean?

Possible Answers:

$\frac{5}{9}$

$\frac{12}{21}$

$\frac{2}{11}$

$\frac{11}{24}$

$\frac{1}{3}$

Correct answer:

$\frac{11}{24}$

Explanation:

$\frac{1}{8}+\frac{1}{3}$

In order to solve this problem, we first need to make common denominators.

$\frac{1}{8}\times\frac{3}{3}=\frac{3}{24}$

$\frac{1}{3}\times\frac{8}{8}=\frac{8}{24}$

Now that we have common denominators, we can add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator.

$\frac{3}{24}+\frac{8}{24}=\frac{11}{24}$

Report an Error

Example Question #81 : Numbers And Operations

Ben washed $\frac{3}{8}$ of the windows and Jen washed $\frac{1}{4}$ . How much of the windows have they washed?

Possible Answers:

$\frac{1}{2}$

$\frac{4}{12}$

$\frac{3}9{}$

$\frac{5}{8}$

$\frac{5}{7}$

Correct answer:

$\frac{5}{8}$

Explanation:

$\frac{3}{8}+\frac{1}{4}$

In order to solve this problem, we first need to make common denominators.

$\frac{1}{4}\times\frac{2}{2}=\frac{2}{8}$

Now that we have common denominators, we can add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator.

$\frac{3}{8}+\frac{2}8{=\frac{5}{8}}$

Report an Error

Example Question #4 : Number & Operations With Fractions

Jake ate $\frac{1}{7}$ of the popcorn and Dave ate $\small \frac{4}{14}$ of the popcorn. How much of the popcorn have they eaten?

Possible Answers:

$\small \frac{2}{3}$

$\small \frac{13}{21}$

$\small \frac{3}{7}$

$\small \frac{5}{7}$

$\small \frac{5}{21}$

Correct answer:

$\small \frac{3}{7}$

Explanation:

$\small \frac{1}{7}+\frac{4}{14}$

In order to solve this problem, we first need to make common denominators.

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

Now that we have common denominators, we can add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator.

$\small \frac{2}{14}+\frac{4}{14}=\frac{6}{14}$

$\small \frac{6}{14}$ can be reduced by dividing $\small 2$ by both sides.

$\small \frac{6}{14}\div\frac{2}{2}=\frac{3}{7}$

Report an Error

Example Question #5 : Number & Operations With Fractions

Jessica ate $\frac{1}{3}$ of the cake and Megan ate $\frac{1}{2}$ . How much of the cake have they eaten?

Possible Answers:

$\frac{2}{3}$

$\frac{5}{8}$

$\frac{5}6{}$

$\frac{2}{5}$

$\frac{5}{12}$

Correct answer:

$\frac{5}6{}$

Explanation:

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

In order to solve this problem, we first need to make common denominators.

$\frac{1}3{\times\frac{2}{2}=\frac{2}{6}}$

$\frac{1}{2}\times\frac{3}{3}=\frac{3}{6}$

Now that we have common denominators, we can add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator.

$\frac{2}{6}+\frac{3}{6}=\frac{5}{6}$

Report an Error

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Herbert Lehman, Bachelors, Recreation Education. Long Island University-Brooklyn Campus, Masters, Special Education.

All ISEE Middle Level Quantitative Resources

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ISEE Middle Level Quantitative : How to add fractions

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

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #71 : Numbers And Operations

Example Question #4 : Add Fractions With Unlike Denominators

Example Question #2046 : Common Core Math: Grade 5

Example Question #11 : Add Fractions With Unlike Denominators

Example Question #2048 : Common Core Math: Grade 5

Example Question #72 : Fractions

Example Question #71 : Numbers And Operations

Example Question #81 : Numbers And Operations

Example Question #4 : Number & Operations With Fractions

Example Question #5 : Number & Operations With Fractions

All ISEE Middle Level Quantitative Resources

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