Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 3 Practice 8 Real-World Problems: Fractions and Mixed Numbers to finish your assignments.

## Math in Focus Grade 5 Chapter 3 Practice 8 Answer Key Real-World Problems: Fractions and Mixed Numbers

**Solve. Show your work.**

Question 1.

Susanne and Barry each buy 4 equal-sized bagels. They divide the bagels equally among themselves and 3 other friends. How many bagels does each person get?

Answer:

1\(\frac{3}{5}\)

Explanation:

Susanne and Barry each buy 4 equal-sized bagels.

4 x 2 = 8

so total = 8

They divide the bagels equally among themselves and 3 other friends.

divided to 5

\(\frac{8}{5}\) = \(\frac{5}{5}\) + \(\frac{3}{5}\)

\(\frac{5}{5}\) = 1

1\(\frac{3}{5}\) bagels that each person get

Question 2.

Maya has 5 sheets of paper. She cuts 3 circles from each sheet. The circles are shared equally among 6 students. How many circles does each student get?

Answer:

2\(\frac{1}{3}\)

Explanation:

Maya has 5 sheets of paper. She cuts 3 circles from each sheet.

5 x 3 = 15

The circles are shared equally among 6 students.

Divided among 6 students

\(\frac{15}{6}\) = \(\frac{12}{6}\) + \(\frac{3}{6}\)

2 + \(\frac{3}{6}\) = 2\(\frac{1}{3}\)

2\(\frac{1}{3}\) circles that each student get

**Solve. Show your work.**

Question 3.

Mrs. Quirk buys 1 quart of milk. Michael drinks \(\frac{2}{7}\) quart of it. Joel drinks \(\frac{1}{3}\) quart of it. How many quarts of milk are left?

Answer:

\(\frac{12}{21}\)

Explanation:

Mrs. Quirk buys 1 quart of milk. Michael drinks \(\frac{2}{7}\) quart of it.

Joel drinks \(\frac{1}{3}\) quart of it.

1 – (\(\frac{2}{7}\) + \(\frac{1}{3}\))

\(\frac{8}{21}\) quarts of milk are left

**Solve. Show your work**

Question 4.

An organic farmer buys a piece of land. She plants tomatoes on \(\frac{5}{9}\) of the land and green beans on \(\frac{1}{12}\) of the land. She plants potatoes on the remaining piece of land. What fraction of the land does she plant with potatoes?

Answer:

\(\frac{13}{36}\) of the land that she plant with potatoes

Explanation:

An organic farmer buys a piece of land.

She plants tomatoes on \(\frac{5}{9}\) of the land

and green beans on \(\frac{1}{12}\) of the land.

She plants potatoes on the remaining piece of land.

total land = 1

Tomatoes = \(\frac{5}{9}\)1

Green beans = \(\frac{1}{12}\)1

potatoes = 1 – (\(\frac{5}{9}\) + \(\frac{1}{12}\))

= \(\frac{20+3}{36}\)

= \(\frac{36-23}{36}\)

= \(\frac{13}{36}\)

\(\frac{13}{36}\) of the land that she plant with potatoes

**Solve. Show your work**

Question 5.

A package contains three types of bagels, plain, wheat, and sesame. The weight of the plain bagels is 1\(\frac{2}{3}\) pounds. The weight of the wheat bagels is 2\(\frac{5}{6}\) pounds. The total weight of the three types of bagels is 5 pounds. What is the weight of the sesame bagels?

Answer:

Explanation:

A package contains three types of bagels, plain, wheat, and sesame. The weight of the plain bagels is 1\(\frac{2}{3}\) pounds.

The weight of the wheat bagels is 2\(\frac{5}{6}\) pounds.

The total weight of the three types of bagels is 5 pounds.

\(\frac{1}{2}\) is the weight of the sesame bagels

Question 6.

Reggie and Jay go for a walk every morning. Reggie walks 2\(\frac{1}{4}\) miles. Jay walks 1\(\frac{3}{8}\) miles less than Reggie. What is the total distance they walk every morning?

Answer:

3 \(\frac{1}{8}\) is the total distance they walk every morning

Explanation:

Reggie and Jay go for a walk every morning. Reggie walks 2\(\frac{1}{4}\) miles.

2\(\frac{1}{4}\) = \(\frac{9}{4}\)

Jay walks 1\(\frac{3}{8}\) miles less than Reggie.

1\(\frac{3}{8}\) = \(\frac{11}{8}\)

\(\frac{9}{4}\) – \(\frac{11}{8}\)

= \(\frac{18-11}{8}\) = \(\frac{7}{8}\)

Total distance

\(\frac{9}{4}\) + \(\frac{7}{8}\)

= \(\frac{9 + 7}{8}\)

= \(\frac{25}{8}\)

= 3 \(\frac{1}{8}\)

**Solve. Show your work.**

Question 7.

Alicia uses \(\frac{3}{4}\) gallon of paint to paint her room. Becca uses \(\frac{4}{5}\) gallon more than Alicia to paint her room. How many gallons of paint do they use altogether?

Answer:

= \(\frac{23}{10}\) gallons of paint that they use altogether

Explanation:

Alicia uses \(\frac{3}{4}\) gallon

Becca uses \(\frac{4}{5}\) gallon

\(\frac{4}{5}\) > \(\frac{3}{4}\)

so, Becca =

\(\frac{4}{5}\) + \(\frac{3}{4}\)

= \(\frac{15+16}{20}\) = \(\frac{31}{20}\)

Altogether

\(\frac{3}{4}\) + \(\frac{31}{20}\)

= \(\frac{15+31}{20}\)

= \(\frac{46}{20}\)

= \(\frac{23}{10}\)

**Solve. Show your work.**

Question 8.

A monkey climbs 3\(\frac{3}{5}\) feet up a coconut tree that has a height of 10 feet. It rests for a while and continues to climb another 4\(\frac{2}{3}\) feet up the tree. How many more feet must the monkey climb to reach the top of the tree?

Answer:

\(\frac{26}{15}\)

Explanation:

3\(\frac{3}{5}\) + 4\(\frac{2}{3}\)

10 – \(\frac{124}{15}\)

\(\frac{26}{15}\) more feet must the monkey climb to reach the top of the tree