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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 #32 : Adding Fractions In Word Problems

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

Possible Answers:

$\frac{4}{4}$

$\frac{2}{4}$

$\frac{1}{4}$

$\frac{3}{4}$

$\frac{5}{4}$

Correct answer:

$\frac{3}{4}$

Explanation:

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

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

3 4

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Example Question #221 : How To Add Fractions

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

Possible Answers:

$\frac{3}{4}$

$\frac{5}{5}$

$\frac{2}{4}$

$\frac{1}{4}$

$\frac{4}{4}$

Correct answer:

$\frac{2}{4}$

Explanation:

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

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

2 4

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Example Question #381 : Fractions

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

Possible Answers:

$\frac{2}{3}$

$\frac{5}{3}$

$\frac{3}{3}$

$\frac{1}{3}$

$\frac{4}{3}$

Correct answer:

$\frac{2}{3}$

Explanation:

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

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

2 3

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

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

Possible Answers:

$\frac{1}{2}$

$\frac{3}{4}$

$\frac{1}{3}$

$\frac{2}{4}$

$\frac{2}{6}$

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

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

Possible Answers:

$\frac{2}{7}$

$\frac{8}{10}$

$\frac{1}{7}$

$\frac{7}{10}$

$\frac{7}{20}$

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 #3053 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

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

Possible Answers:

$\frac{2}{8}$

$\frac{11}{15}$

$\frac{3}{8}$

$\frac{11}{30}$

$\frac{15}{11}$

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.

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

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

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

Possible Answers:

$\frac{3}{9}$

$\frac{1}{3}$

$\frac{11}{14}$

$\frac{11}{28}}$

$\frac{14}{11}$

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

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

Possible Answers:

$\frac{7}{4}$

$\frac{13}{24}$

$1\frac{1}{12}$

$\frac{4}{7}$

$\frac{12}{13}$

Correct answer:

$1\frac{1}{12}$

Explanation:

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

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

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

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

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.

$\frac{9}{12}+\frac{4}{12}=\frac{13}{12}$

$\frac{13}{12}=1\frac{1}{12}$ because can go into one time, with one left over.

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Example Question #651 : Number & Operations With Fractions

$\frac{5}{6}+\frac{2}{4}$

Possible Answers:

$1\frac{1}{3}$

$\frac{24}{16}$

$\frac{16}{24}$

$\frac{12}{16}$

$\frac{7}{10}$

Correct answer:

$1\frac{1}{3}$

Explanation:

$\frac{5}{6}+\frac{2}{4}$

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

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

$\frac{2}{4}\times\frac{3}{3}=\frac{6}{12}$

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.

$\frac{10}{12}+\frac{6}{12}=\frac{16}{12}$

$\frac{16}{12}=1\frac{4}{12}=1\frac{1}{3}$ because and go into one time with four left over. $\frac{4}{12}$ can be reduced to $\frac{1}{3}$ by dividing the numerator and the denominator by

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

Solve the following:

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

Possible Answers:

$\frac{17}{42}$

$\frac{17}{21}$

$\frac{3}{10}$

$\frac{16}{21}$

$\frac{1}{5}$

Correct answer:

$\frac{17}{21}$

Explanation:

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

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

$\frac{2}{3}\times\frac{7}{7}=\frac{14}{21}$

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

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.

$\frac{14}{21}+\frac{3}{21}=\frac{17}{21}$

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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 #32 : Adding Fractions In Word Problems

Example Question #221 : How To Add Fractions

Example Question #381 : 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 #3053 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

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

Example Question #651 : Number & Operations With Fractions

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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