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