All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 8 Lesson 1 Fractions and Division will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 5 Answer Key Chapter 8 Lesson 1 Fractions and Division
Math in My World
Example 1
Dylan, Drake, and Jade are sharing 2 small pizzas equally after their lacrosse game. How much does each person get?
Each person gets \(\frac{2}{3}\) of a pizza.
The amount of pizza each person gets is between what two whole numbers?
The amount of pizza each person gets is between 0 and 1
Example 2
Ray and Bailey are sharing 3 brownies equally. How much does each person get?
Each person gets \(\frac{3}{2}\) of a brownie.
The models at the right show that each person gets 1 whole brownie. There is one brownie remaining, which can be divided equally between the two people.
Each person gets \(\frac{1}{2}\) brownies.
So, 3 ÷ 2 = 1. 5
The amount of brownies each person gets is between what two whole numbers?
The amount of brownies each person gets is between 1 and 2
Talk Math
Give an example of how a fraction represents a division situation in real life.
Answer:
A fraction is a part of a whole. In other words, a fraction is a number that represents a whole number. For example, a cake is divided into 8 equal slices. If a single slice is eaten, how can we represent the remaining portion of the cake?
The remaining portion of the cake can be expressed numerically as \(\frac{7}{8}\)
Guided Practice
Question 1.
Two bags of birdseed are used to fill three bird feeders. How much birdseed does each feeder use? Represent the situation using the model. Then solve.
Each feeder uses 
of a bag of birdseed.
So, 2 ÷ 3 = 
Answer:
Each feeder uses 
of a bag of birdseed.
Each feeder uses \(\frac{2}{3}\) of a bag of birdseed.
so, 2 ÷ 3 = \(\frac{2}{3}\)
Explanation:
Two bags of birdseed are used to fill three bird feeders.
Each feeder uses \(\frac{2}{3}\) of a bag of birdseed.
Independent Practice
Represent each situation using a model. Then solve.
Question 2.
Four families equally share 5 pies. How much pie will each family receive?
Each family receives , or 
, of a pie.
So, 5 ÷ 4 = .
The answer is between the whole numbers ____ and ____
Answer:
So, 5 ÷ 4 = 
Each family receives \(\frac{5}{4}\), or 
,of a pie.
Explanation:
So, 5 ÷ 4 = \(\frac{5}{4}\) = 1.25
5 pies are equally divided among 4 families
The answer is between the whole numbers 1 and 2
Question 3.
Six bags of soil are used to fill 5 flower pots. How much soil does each flower pot use? Between what two whole numbers does the answer lie?
Each flower pot uses , or , of a bag of soil.
So, 6 ÷ 5 = .
The answer is between the whole numbers ___ and ____.
Answer:
So, 6 ÷ 5 = 
Each flower pot uses \(\frac{6}{5}\) , or 
,of a bag of soil.
So, 6 ÷ 5 = \(\frac{6}{5}\) = 1.2
Each flower pot used \(\frac{6}{5}\) amount of soil
The answer is between the whole numbers 1 and 2.
4. Forty yards of fabric are used to make 9 school banners. How many yards of fabric does each banner use? Between what two whole numbers does the answer lie?
Each banner uses , or , yards of fabric.
So, 40 ÷ 9 = .
The answer is between the whole numbers ____ and ___.
Answer:
So, 40 ÷ 9 = 
\(\frac{40}{9}\)=4.44 that is rounded to 4.43 or 4.45
Explanation:
Each banner uses \(\frac{40}{9}\) , or 
,yards of fabric
So \(\frac{40}{9}\) = 4.44
The answer is between the whole numbers 4 and 5.
Problem Solving
Question 5.
Mathematical PRACTICE 5 Use Math Tools Demont used 4 gallons of gasoline in three days driving to work. Each day he used the same amount of gasoline. How many gallons of gasoline did he use each day?
Answer:
\(\frac{4}{3}\) =1.3 gallons per day.
Explanation:
He uses 4 gallons for 3 days.
Gallons of gasoline he use each day is \(\frac{4}{3}\) = 1.3 gallons per day.
Question 6.
Suzanne made 2 gallons of punch to be divided equally among 10 people. How much of the punch did each person receive?
Answer:
5
Explanation:
2 gallons of punch to be divided equally among 10 people.
10 divided by 2= 5
Each person will get 5 punch
Question 7.
The baseball team is selling 30 loaves of banana bread. Each loaf is sliced and equally divided in 12 large storage containers. If each slice is the same size, how many loaves of banana bread are in each container? Between what two whole numbers does the answer lie?
Answer:
\(\frac{30}{12}\) = 2.5
Explanation:
The baseball team is selling 30 loaves of banana bread.
Each loaf is sliced and equally divided in 12 large storage containers.
loaves of banana bread are in each container is \(\frac{30}{12}\) = 2.5
It lies in between 2 and 3
Hot problems
Question 8.
Mathematical PRACTICE 2 Reason You know that if 15 ÷ 3 = 5, then 5 × 3 = 15. If you know that 7 ÷ 8 = \(\frac{7}{8}\), what can you conclude about the product of \(\frac{7}{8}\) and 8?
Answer:
7
Explanation:
We know that 15 ÷ 3 = 5, then 5 × 3 = 15.
Then 7 ÷ 8 = \(\frac{7}{8}\)
The product of \(\frac{7}{8}\) and 8 is \(\frac{7}{8}\) x 8 = 7
Question 9.
?Building on the Essential Question How can division be represented by using a fraction?
Answer:
To divide a whole number by a fraction, we multiply the whole number with the reciprocal of the given fraction.
To divide a fraction by a fraction, we multiply the reciprocal of the second fraction with the first fraction.
McGraw Hill My Math Grade 5 Chapter 4 Lesson 1 My Homework Answer Key
Question 1.
Three pounds of potatoes make eight equal-size servings of mashed potatoes. How many pounds of potatoes are in each serving? Represent the situation with a model. Then solve.
Each serving uses 
pound of potatoes.
So, 3 ÷ 8 = .
The answer is between the whole numbers ____ and ____
Answer:
\(\frac{3}{8}\) pounds of potatoes are in each serving of mashed potatoes.
Explanation:
Each serving uses \(\frac{3}{8}\) pound of potatoes.
so, 3 ÷ 8 = 
The answer is between the whole numbers 0 and 1
Problem Solving
Question 2.
One large submarine sandwich is divided equally among four people. How much of the sandwich did each person receive?
Answer: \(\frac{1}{4}\)
Explanation:
One large submarine sandwich is divided equally among four people.
One piece is divided among 4 people
Amount of sandwich received by each person is \(\frac{1}{4}\).
Question 3.
Four gallons of paint are used to paint 25 chairs. If each chair used the same amount of paint, how many gallons are used to paint each chair? Between what two whole numbers does your answer lie?
Answer:
\(\frac{25}{4}\) = 6.25
Explanation:
Four gallons of paint are used to paint 25 chairs. If each chair used the same amount of paint, then
\(\frac{25}{4}\) = 6.25 gallon of paint is needed.
The answer lies between 6 and 7.
Question 4.
Mathematical PRACTICE 1 Make Sense of Problems Mrs. Larsen made 12 pillows from 16 yards of the same fabric. How much fabric was used to make each pillow? Between what two whole numbers does your answer lie?
Answer:
\(\frac{16}{12}\)=1.33
Explanation:
Mrs. Larsen made 12 pillows from 16 yards of the same fabric.
Fabric used to make each pillow is \(\frac{16}{12}\) = 1.33
It would be between 1 and 2
Vocabulary Check
Question 5.
Fill in éach blank with the correct word to complete the sentence.
The numerator is the ____ number in a fraction, while the denominator is the ____ number in a fraction.
Answer:
The numerator is the top number in a fraction
while the denominator is the Bottom number in a fraction
Test Practice
Question 6.
Elena drank 5 bottles of water over 7 volleyball practices. How much water did Elena drink each practice if she drank the same amount each time?
A. \(\frac{2}{7}\) bottle
B. \(\frac{2}{5}\) bottle
C. \(\frac{2}{5}\) bottle
D. \(\frac{7}{5}\) or 1\(\frac{2}{5}\) bottles
Answer:
\(\frac{5}{7}\) bottle of water
Explanation:
Elena drank 5 bottles of water over 7 volleyball practices.
If she drank the same amount each time Elena will drink \(\frac{5}{7}\) bottle of water.