Math in Focus Grade 5 Chapter 4 Practice 7 Answer Key Real-World Problems: Multiplying and Dividing with Fractions

Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 4 Practice 7 Real-World Problems: Multiplying and Dividing with Fractions to finish your assignments.

Math in Focus Grade 5 Chapter 4 Practice 7 Answer Key Real-World Problems: Multiplying and Dividing with Fractions

Solve. Draw models to help you.

Question 1.
Evan typed 72 pages of notes one day. He typed \(\frac{1}{2}\) of the pages in the morning and \(\frac{1}{3}\) of the pages in the afternoon. He typed the rest of the pages in the evening. How many pages of notes did he type in the morning and afternoon?
Answer:
48 pages of notes that he typed in the morning and afternoon
24 pages he typed in the evening.
Explanation:
Evan typed 72 pages of notes one day.
\(\frac{1}{2}\) of the pages in the morning  72 ÷ 2 = 36
\(\frac{1}{3}\) of the pages in the afternoon 36 ÷  3 = 12
36 + 12 = 48
He typed the rest of the pages in the evening. 72 – 48 = 24

Question 2.
Last Saturday, Jay spent 6 hours playing games, studying and talking with his friends. He spent \(\frac{2}{5}\) of the time playing games and \(\frac{1}{2}\) of the time studying. How many minutes did he spend talking with his friends?
Answer:
36 minutes
Explanation:
To find \(\frac{2}{5}\) of the time, all you have to do is multiply is by the time!!!
\(\frac{2}{5}\)   x 360 = 144 minutes
6 x 60 = 360
1 hour has 60 minutes.
Studying:
\(\frac{1}{2}\) x 360 = 180 minutes

Talking with friends = Total time – playing games – studying
360 – 144 – 180 = 36 minutes

Solve. Draw models to help you.

Question 3.
Joanne earns $720 a week. She spends \(\frac{1}{3}\) of her money on groceries and household goods and \(\frac{3}{4}\) of the remaining money on rent. How much money does she spend on rent, groceries and household goods?
Answer:
$600
Explanation:
720 x \(\frac{1}{3}\) = 240 for Groceries and home goods.
then 720 – 240 = 480 reaming
then 480 x  \(\frac{3}{4}\) = 360 for rent
total amount spent= 240 + 360 = 600 dollar total

Solve. Draw models to help you.

Question 4.
During a triathlon, Sharon swims \(\frac{1}{4}\) of the total route and cycles \(\frac{3}{5}\) of the remaining route. She runs the rest of the route. If she runs 3,600 meters, find the total distance of the triathlon route.
Answer:
6km swimming, 14.4km cycling and 3.6km running

Explanation:
x is the total route in kilometers
(3600m = 3.6km)
we know that
x =3 . 6+ ( \(\frac{1}{4}\) ) x + ( \(\frac{3}{5}\))x
multiplying both sides with 20, gives
20 x = 72 + 5x + 12x
or (moving all terms with x to the same side)
3x=72
meaning x =(\(\frac{72000}{3}\) ) = 24000
The triathlon route is 24km long

Solve. Show your work.

Question 5.
Victoria has a 2-pound package of flour. She uses \(\frac{2}{5}\) of the flour to make a pizza. She then uses \(\frac{3}{10}\) of the remaining flour to make bread. Find the weight of the package of flour that she has left. Express your answer as a decimal.
Answer:
\(\frac{9}{25}\) lb. left = 0.36 in decimal.
Explanation:
Victoria has a 2-pound package of flour.
\(\frac{2}{5}\) of the flour to make a pizza.  \(\frac{3}{5}\) x 2 = \(\frac{6}{5}\)lb.
She then uses \(\frac{3}{10}\) of the remaining flour to make bread \(\frac{3}{10}\) x \(\frac{6}{5}\)
= \(\frac{18}{50}\) = \(\frac{9}{25}\) lb. left = 0.36

Solve. Show your work.

Question 6.
Karen collects \(\frac{6}{7}\) quart of rainwater. She uses \(\frac{1}{2}\) of the water to clean her bicycle and uses the remaining water equally for 3 houseplants. What volume of water does she use for each houseplant?
Answer:
\(\frac{1}{9}\) quart volume of water that she use for each houseplant
Explanation:
Karen collects \(\frac{6}{7}\) quart of rainwater.
\(\frac{1}{2}\) of the water to clean her bicycle ( \(\frac{1}{2}\) ) x (\(\frac{6}{7}\)) = \(\frac{6}{14}\)= \(\frac{3}{7}\) quart
\(\frac{3}{7}\) x ( \(\frac{1}{3}\) ) = \(\frac{3}{21}\) = \(\frac{1}{9}\) quart

Question 7.
Ricardo spends \(\frac{8}{9}\) hour reading the newspaper. He spends \(\frac{1}{4}\) of the time reading the world news and splits the remaining time equally between the sports news and the comics. How much time does he spend reading the comics?
Answer:
\(\frac{1}{3}\)  time that he spend reading the comics
Explanation:
Ricardo spends \(\frac{8}{9}\) hour reading the newspaper.
latex]\frac{1}{4}[/latex] x \(\frac{8}{9}\) = \(\frac{24}{36}\) =  \(\frac{2}{3}\) hour
He spends \(\frac{1}{4}\) of the time reading the world news and splits the remaining time equally between the sports news and the comics.
\(\frac{2}{3}\) x \(\frac{1}{2}\) – \(\frac{2}{6}\) = \(\frac{1}{3}\) hour reading comics

Solve. Show your work

Question 8.
A square foot of wall space needs \(\frac{1}{8}\) quart of paint. Terrence has 7 quarts of paint, but uses 2 quarts to paint a pipe. How many square feet of wall can he paint with the rest of the paint?
Answer:
40 square feet of wall that he can he paint with the rest of the paint
Explanation:
Terrence has 7 quarts of paint, but uses 2 quarts to paint a pipe.
7 – 2 = 5
fifths of ( \(\frac{1}{8}\) )
5 x 8 = 40 square feet

Question 9.
Mary spends \(\frac{1}{6}\) hour to make a friendship bracelet. She spends 3 hours before lunch and 2 hours after lunch making the bracelets. How many bracelets does she make in all?
Answer:
30 bracelets that she make in all
Explanation:
1 hour = 60 minutes
Mary spends \(\frac{1}{6}\) hour to make a friendship bracelet.
60 ÷ 6 = 10
She spends 3 hours before lunch and 2 hours after lunch making the bracelets.
3 + 2 = 5
5 x 60 = 300
300  ÷  10 = 30

Question 10.
Clayton wants to be a musician. After school one afternoon, he spends half his time practicing his drums and \(\frac{3}{4}\) of the remaining time on homework and dinner. He spends the remaining \(\frac{3}{4}\) hour talking with and texting his friends. How long did he practice the drums?
Answer:

Explanation:

Question 11.
Julia spends \(\frac{5}{9}\) of her vacation at summer camp. She spends \(\frac{3}{4}\) of the remaining time at her grandparent’s home. The remaining 7 days she spends at the seashore with her family. How many days of summer vacation does she get each summer.
Answer:
Explanation:

Leave a Comment