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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 #2 : Number & Operations With Fractions

Tim mowed $\frac{1}{7}$ of the yard and Tom mowed $\frac{1}{3}$ . How much of the yard have they mowed?

Possible Answers:

$\frac{2}{3}$

$\frac{2}{10}$

$\frac{10}{21}$

$\frac{1}{5}$

$\frac{9}{21}$

Correct answer:

$\frac{10}{21}$

Explanation:

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

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

$\frac{1}{7}\times\frac{3}{3}=\frac{3}{21}$

$\frac{1}{3}\times \frac{7}{7}=\frac{7}{21}$

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.

$\frac{3}{21}+\frac{7}{21}=\frac{10}{21}$

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Example Question #83 : Fractions

Shannon has painted $\frac{5}{8}$ of the house and Dan has paided $\frac{1}4{}$ of the house. How much of the house is painted?

Possible Answers:

$\frac{2}{4}$

$\frac{1}{2}$

$\frac{3}{4}$

$\frac{7}{8}$

$\frac{6}{12}$

Correct answer:

$\frac{7}{8}$

Explanation:

$\frac{5}{8}+\frac{1}{4}$

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.

$\frac{5}{8}+\frac{2}{8}=\frac{7}{8}$

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Example Question #3 : Number & Operations With Fractions

David ate $\frac{3}{12}$ of the pizza and Alison ate $\frac{1}{3}$ of the pizza. How much of the pizza did they eat?

Possible Answers:

$\frac{4}{15}$

$\frac{3}{4}$

$\frac{6}{12}$

$\frac{1}{2}$

$\frac{7}{12}$

Correct answer:

$\frac{7}{12}$

Explanation:

$\frac{3}{12}+\frac{1}{3}$

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

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

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.

$\frac{3}{12}+\frac{4}{12}=\frac{7}{12}$

Report an Error

Example Question #84 : Fractions

Laura ate $\frac{2}{7}$ of the ice cream and Drew ate $\frac{1}{3}$ . How much of the ice cream did they eat?

Possible Answers:

$\frac{11}{15}$

$\frac{3}{4}$

$\frac{13}{21}$

$\frac{9}{21}$

$\frac{3}{10}$

Correct answer:

$\frac{13}{21}$

Explanation:

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

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

$\frac{2}{7}\times\frac{3}{3}=\frac{6}{21}$

$\frac{1}{3}\times\frac{7}{7}=\frac{7}{21}$

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.

$\frac{6}{21}+\frac{7}{21}=\frac{13}{21}$

Report an Error

Example Question #85 : Fractions

Kara ate $\frac{7}{18}$ of the bag of chips and Andrew ate $\frac{1}{9}$ . How much of the bag of chips did they eat?

Possible Answers:

$\frac{3}9{}$

$\frac{6}{10}$

$\frac{15}{21}$

$\frac{9}{18}$

$\frac{8}{27}$

Correct answer:

$\frac{9}{18}$

Explanation:

$\frac{7}{18}+\frac{1}{9}$

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

$\frac{1}{9}\times \frac{2}{2}=\frac{2}{18}$

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.

$\frac{7}{18}+\frac{2}{18}=\frac{9}{18}$

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Example Question #71 : How To Add Fractions

Sally drank $\frac{1}{12}$ of the milk and Sam drank $\frac{2}{3}$ . What fraction of the milk did they drink?

Possible Answers:

$\frac{3}{4}$

$\frac{11}{15}$

$\frac{3}{15}$

$\frac{5}{7}$

$\frac{1}{2}$

Correct answer:

$\frac{3}{4}$

Explanation:

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

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

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

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.

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

$\frac{9}{12}$ can be reduced by dividing by both sides.

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

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Example Question #72 : How To Add Fractions

Lily pulled $\frac{1}{9}$ of the weeds and Rose pulled $\frac{1}{3}$ . What fraction of the weeds have they pulled?

Possible Answers:

$\frac{8}{15}$

$\frac{2}{12}$

$\frac{4}{9}$

$\frac{1}{6}$

$\frac{1}{2}$

Correct answer:

$\frac{4}{9}$

Explanation:

$\frac{1}{9}+\frac{1}{3}$

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

$\frac{1}{3}\times\frac{3}{3}=\frac{3}{9}$

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.

$\frac{1}{9}+\frac{3}{9}=\frac{4}{9}$

Report an Error

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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 : How to add fractions

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

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #2 : Number & Operations With Fractions

Example Question #83 : Fractions

Example Question #3 : Number & Operations With Fractions

Example Question #84 : Fractions

Example Question #85 : Fractions

Example Question #71 : How To Add Fractions

Example Question #72 : How To Add Fractions

All ISEE Middle Level Quantitative Resources

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