5th Grade Math - Solve Word Problems Involving Addition and Subtraction of Fractions: CCSS.Math.Content.5.NF.A.2

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?

$\frac{9}{18}$

$\frac{8}{27}$

$\frac{3}9{}$

$\frac{6}{10}$

$\frac{15}{21}$

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.

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

Mary has a bag of marbles. She gives half of the marbles to her brother and a third of the marbles to her sister. What fraction of the original marbles does Mary have left?

$\frac{1}{6}$

$\frac{1}{5}$

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{1}{2}$

Explanation

Ben washed $\frac{3}{8}$ of the windows and Jen washed $\frac{1}{4}$ of them. How much more of the windows did Ben wash?

$\frac{1}8{}$

$\frac{1}6{}$

$\frac{2}3{}$

$\frac{1}2{}$

$\frac{7}9{}$

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 subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{3}{8}-\frac{2}8{=\frac{1}{8}}$

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

$\frac{1}{5}$

$\frac{3}{10}$

$\frac{1}2{}$

$\frac{3}{4}$

$\frac{7}{11}$

Explanation

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

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 subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{5}{10}-\frac{3}{10 }=\frac{2}{10}$

$\frac{2}{10}$ can be reduced be dividing both sides by .

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

Tim mowed $\frac{1}{7}$ of the yard and Tom mowed $\frac{1}{3}$ . How much more of the yard did Tom mow?

$\frac{4}{21}$

$\frac{13}{21}$

$\frac{5}7{}$

$\frac{2}3{}$

$\frac{1}9{}$

Explanation

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

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 subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{7}{21}-\frac{3}{21}=\frac{4}{21}$

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?

$\frac{7}{8}$

$\frac{6}{12}$

$\frac{1}{2}$

$\frac{2}{4}$

$\frac{3}{4}$

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.

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

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?

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

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

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

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

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

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.

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

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

$\frac{1}{12}$

$\frac{3}4{}$

$\frac{1}3{}$

$\frac{5}7{}$

$\frac{9}{11}$

Explanation

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

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 subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

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

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

$\frac{5}{24}$

$\frac{7}{24}$

$\frac{1}{6}$

$\frac{2}{3}$

$\frac{1}{3}$

Explanation

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

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

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

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

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

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

$\frac{8}{24}-\frac{3}{24}=\frac{5}{24}$

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?

$\frac{7}{12}$

$\frac{4}{15}$

$\frac{6}{12}$

$\frac{1}{2}$

$\frac{3}{4}$

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.

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

Solve Word Problems Involving Addition and Subtraction of Fractions: CCSS.Math.Content.5.NF.A.2

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