Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 4 Practice 2 Real-World Problems: Multiplying with Proper Fractions to finish your assignments.

## Math in Focus Grade 5 Chapter 4 Practice 2 Answer Key Real-World Problems: Multiplying with Proper Fractions

**Solve. Draw models to help you.**

Question 1.

Lena has some eggs in the refrigerator. She takes out \(\frac{3}{5}\) of the eggs to make waffles and scrambled eggs. She uses \(\frac{2}{3}\) of the eggs she took out to make waffles. What fraction of the total number of eggs does Lena use to make waffles?

Answer:

\(\frac{2}{5}\)

Explanation:

Lena has some eggs in the refrigerator.

She takes out \(\frac{3}{5}\) of the eggs to make waffles and scrambled eggs.

She uses \(\frac{2}{3}\) of the eggs she took out to make waffles.

\(\frac{3}{5}\) x \(\frac{2}{3}\)

\(\frac{2}{5}\) of the total number of eggs that Lena use to make waffles

Question 2.

Dawn has \(\frac{5}{6}\) yard of lace. She uses \(\frac{4}{5}\) of it for a dress and the rest for a jewel box. How much lace does she use for the jewel box?

Answer:

\(\frac{1}{6}\) Lace use for the jewel box

Explanation:

\(\frac{4}{5}\) x \(\frac{5}{6}\) = \(\frac{20}{30}\) = \(\frac{2}{3}\)

\(\frac{5}{6}\) – \(\frac{2}{3}\) = \(\frac{5-4}{6}\) = \(\frac{1}{6}\)

**Solve. Show your work.**

Question 3.

Tasha finished a job in \(\frac{3}{4}\) hour. Megan finished it in of the time Tasha took. How long did Megan take to finish the job?

Answer:

45 minutes

Explanation:

Tasha finished a job in \(\frac{3}{4}\) hour.

Megan finished it in of the time Tasha took.

\(\frac{3}{4}\) x 60 = 45 minutes

45 minutes Megan take to finish the job

Question 4.

Lily has a bottle containing \(\frac{7}{8}\) quart of milk. She pours \(\frac{4}{5}\) of it into a bowl. What amount of milk does she pour into the bowl?

Answer:

\(\frac{7}{10}\)

Explanation:

Lily has a bottle containing \(\frac{7}{8}\) quart of milk.

She pours \(\frac{4}{5}\) of it into a bowl.

\(\frac{7}{8}\) x \(\frac{4}{5}\)

= \(\frac{28}{40}\)

= \(\frac{7}{10}\)

\(\frac{7}{10}\) amount of milk that she pour into the bowl

Question 5.

Raoul ran \(\frac{3}{4}\) mile in a race. Eduardo ran \(\frac{2}{7}\) of the distance that Raoul ran. What distance did Eduardo run?

Answer:

\(\frac{3}{14}\)

Explanation:

Raoul ran \(\frac{3}{4}\) mile in a race.

Eduardo ran \(\frac{2}{7}\) of the distance that Raoul ran.

\(\frac{3}{4}\) x \(\frac{2}{7}\)

= \(\frac{6}{28}\)

= \(\frac{3}{14}\)

\(\frac{3}{14}\) that Eduardo run

**Solve. Draw models to help you.**

Question 6.

Jenny spends \(\frac{1}{6}\) of her paycheck and saves \(\frac{2}{5}\) of the remaining amount. What fraction of her total paycheck is saved?

Answer:

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

Explanation

Jenny spends \(\frac{1}{6}\) of her paycheck

and saves \(\frac{2}{5}\) of the remaining amount.

x – \(\frac{1}{6}\)x

= \(\frac{5x}{6}\) pennies

\(\frac{5x}{6}\) x \(\frac{2}{5}\)

x = \(\frac{10}{30}\)

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

\(\frac{1}{3}\) of her total paycheck is saved

Question 7.

In Rod’s family, \(\frac{3}{4}\) of the members wear glasses. Of those who do not wear glasses, \(\frac{1}{3}\) are male. What fraction of the family are males who do not wear glasses?

Answer:

\(\frac{1}{12}\)

Explanation:

In Rod’s family, \(\frac{3}{4}\) of the members wear glasses.

Of those who do not wear glasses, \(\frac{1}{3}\) are male.

x – \(\frac{3}{4}\)x

= \(\frac{4x-3x}{4}\)

= \(\frac{1}{4}\)x

x = \(\frac{1}{4}\) not wear glass

\(\frac{1}{4}\) x \(\frac{1}{3}\)

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

\(\frac{1}{12}\) fraction of the family are males that not wear glasses

**Solve. Draw models to help you.**

Question 8.

Ned folded a set of origami figures. Of this set, \(\frac{5}{8}\) are cranes and \(\frac{1}{6}\) of the remainder are frogs. The rest are grasshoppers. What fraction of the origami figures are grasshoppers?

Answer:

\(\frac{11}{16}\)

Explanation:

Ned folded a set of origami figures. Of this set, \(\frac{5}{8}\) are cranes

and \(\frac{1}{6}\) of the remainder are frogs. The rest are grasshoppers.

\(\frac{5}{8}\) are cranes

\(\frac{3}{8}\) are not cranes

\(\frac{1}{6}\) x \(\frac{3}{8}\) = \(\frac{3}{48}\) = \(\frac{1}{16}\)

Let us convert

\(\frac{5}{8}\) as \(\frac{10}{16}\)

\(\frac{10}{16}\) + \(\frac{1}{16}\)

= \(\frac{11}{16}\)

\(\frac{11}{16}\) fraction of the origami figures are grasshoppers

**Solve. Show your work**

Question 9.

In a garden, \(\frac{2}{3}\) of the flowers are roses. Of the roses in the garden, \(\frac{5}{12}\) are yellow and the rest are red. What fraction of the flowers are red roses?

Answer:

\(\frac{1}{9}\)

Explanation:

In a garden, \(\frac{2}{3}\) of the flowers are roses.

Of the roses in the garden, \(\frac{5}{12}\) are yellow and the rest are red.

Roses = \(\frac{2}{3}\)

Yellow = \(\frac{5}{12}\) x \(\frac{2}{3}\)

= \(\frac{10}{36}\)

= \(\frac{5}{18}\)

Red = \(\frac{2}{3}\) – \(\frac{5}{18}\)

= \(\frac{36-30}{54}\)

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

\(\frac{1}{9}\) fraction of the flowers are red roses

Question 10.

Karen collects local and foreign coins. Of the coins in her collection, \(\frac{1}{4}\) are foreign coins. Of the foreign coins, \(\frac{2}{5}\) are from Mexico. What fraction of the collection are foreign coins that are not from Mexico?

Answer:

\(\frac{3}{20}\) fraction of the collection are foreign coins that are not from Mexico

Explanation:

\(\frac{1}{4}\) are foreign coins

\(\frac{2}{5}\) x \(\frac{1}{4}\)

Mexico = \(\frac{1}{10}\)

Non Mexican

= \(\frac{1}{4}\) – \(\frac{1}{10}\)

= \(\frac{5-2}{20}\)

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