McGraw Hill My Math Grade 5 Chapter 9 Lesson 3 Answer Key Subtract Like Fractions

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 9 Lesson 3 Subtract Like Fractions will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 5 Answer Key Chapter 9 Lesson 3 Subtract Like Fractions

Math in My World

Example 1

About \(\frac{7}{10}\) of Earth’s surface is covered by oceans. The Pacific Ocean ¡s the largest ocean and covers about \(\frac{3}{10}\) of Earth’s surface. How much of Earth’s surface is covered by oceans other than the Pacific Ocean?

Find \(\frac{7}{10}\) – \(\frac{3}{10}\).

One Way Use Models.
Place seven \(\frac{1}{10}\)-fraction tiles.

Remove three of the tiles.
There are ___ tiles left which represent \(\frac{4}{10}\), or \(\frac{2}{5}\).

Another Way Subtract the numerators. Keep the denominator.
\(\frac{7}{10}\) – \(\frac{3}{10}\) = \(\frac{7-3}{10}\)
= \(\frac{4}{10}\) 7 – 3 = 4
= Write in simplest form.
So, of Earth’s surface is covered by oceans other than the pacific ocean.
Answer:
By using models we can subtract:

The above-given like fractions:
7/10 – 3/10
7/10 tiles are placed. Out of 7/10, we crossed out 3/10 tiles and the remaining tiles were 4/10.
Therefore, 4/10 tiles are left.
Another way:
– Subtract the numerators and keep the denominator the same.
7/10 – 3/10
7 and 3 are the numerators.
7 – 3 = 4
and the denominator is 10.
The fraction is 4/10
In the simplest form, 4/10 = 2/5
–  simplest form.
Therefore, of Earth’s surface is covered by oceans other than the pacific ocean.

Example 2
The table shows the amount of rainfall several cities received in a recent month. How much more rain did Centerville receive than Brushton? Write in simplest form.

Subtract the numerators. Keep the denominator the same.
\(\frac{9}{10}\) – \(\frac{3}{10}\) = \(\frac{9-3}{10}\)
= \(\frac{6}{10}\) 9 – 3 = 6
=  Write in simplest form.
So, an inch more rain fell in ___ than in ____
Therefore, 3/5 an inch of rain fell in Centerville than in Brushton.

Guided Practice

Subtract. Write each difference in simplest form.

Question 1.
\(\frac{5}{7}\) – \(\frac{3}{7}\) =
Answer:
The above-given:
5/7 – 3/7
As the denominators are equal, we can subtract them directly.
(5 – 3)/7
= 2/7
Therefore, \(\frac{5}{7}\) – \(\frac{3}{7}\) =

Talk Math
Tell about a real-world situation in which you would find \(\frac{3}{4}\) – \(\frac{1}{4}\).
Answer:
A sample answer is given:
About \(\frac{3}{4}\) of Earth’s surface is covered by oceans. The Pacific Ocean ¡s the most significant sea and covers about \(\frac{1}{4}\) of Earth’s surface. How much of Earth’s surface is covered by oceans other than the Pacific Ocean?
3/4 – 1/4
= (3 – 1)/4
= 2/4
= 1/2

Question 2.
\(\frac{3}{5}\) – \(\frac{2}{5}\) =
Answer:
The above-given:
3/5 – 2/5
As the denominators are equal, we can subtract them directly.
= ( 3 – 2 )/5
= 1/5
Therefore, \(\frac{3}{5}\) – \(\frac{2}{5}\) =

Question 3.
\(\frac{6}{9}\) – \(\frac{3}{9}\) =
Answer:
The above-given:
6/9 – 3/9
As the denominators are equal, we can subtract them directly.
(6 – 3)/9
= 3/9
In simplest form, 1/3
Therefore, \(\frac{6}{9}\) – \(\frac{3}{9}\) =

Independent Practice

Subtract. Write each difference in simplest form.

Question 4.
\(\frac{5}{6}\) – \(\frac{3}{6}\) = ____
Answer:
The above-given:
5/6 – 3/6
As the denominators are equal, we can subtract them directly.
(5 – 3)/6
= 2/6
We can divide by 2 to the numerator and the denominator.
In the simplest form, we can write as 1/3
Therefore, \(\frac{5}{6}\) – \(\frac{3}{6}\) = 1/3.

Question 5.
\(\frac{2}{3}\) – \(\frac{1}{3}\) = ____
Answer:
The above-given:
2/3 – 1/3
As the denominators are equal, we can subtract them directly.
= 2 – 1/3
= 1/3
Therefore, \(\frac{2}{3}\) – \(\frac{1}{3}\) = 1/3

Question 6.
\(\frac{3}{5}\) – \(\frac{1}{5}\) = ____
Answer:
The above-given:
3/5 – 1/5
As the denominators are equal, we can subtract them directly.
subtract the numerators.
= 3 – 1/5
= 2/5
Therefore, \(\frac{3}{5}\) – \(\frac{1}{5}\) = 2/5

Question 7.
\(\frac{6}{7}\) – \(\frac{5}{7}\) = ____
Answer:
The above-given:
6/7 – 5/7
As the denominators are equal, we can subtract them directly.
subtract the numerators.
= 6 – 5/7
= 1/7
Therefore, \(\frac{6}{7}\) – \(\frac{5}{7}\) = 1/7.

Question 8.
\(\frac{5}{9}\) – \(\frac{2}{9}\) = ____
Answer:
The above-given:
5/9 – 2/9
As the denominators are equal, we can subtract them directly.
= 5 – 2/9
= 3/9
To write the simplest form we can divide it by 3.
In the simplest form, the answer is 1/3.
Therefore, \(\frac{5}{9}\) – \(\frac{2}{9}\) = 1/3.

Question 9.
\(\frac{6}{8}\) – \(\frac{4}{8}\) = ____
Answer:
The above-given:
6/8 – 4/8
As the denominators are equal, we can subtract them directly.
= 6 – 4/8
= 2/8
To write the simplest form we can divide it by 2.
In the simplest form, the answer is 1/4.
Therefore, \(\frac{6}{8}\) – \(\frac{4}{8}\) = 1/4

Question 10.
\(\frac{3}{4}\) – \(\frac{1}{4}\) = ____
Answer:
The above-given:
3/4 – 1/4
As the denominators are equal, we can subtract them directly.
= 3 – 1/4
= 2/4
To write the simplest form we can divide it by 2.
In the simplest form, the answer is 1/2.
Therefore, \(\frac{3}{4}\) – \(\frac{1}{4}\) = 1/2

Question 11.
\(\frac{9}{12}\) – \(\frac{3}{12}\) = ____
Answer:
The above-given:
9/12 – 3/12
As the denominators are equal, we can subtract them directly.
= 9 – 3/12
= 6/12
To write the simplest form we can divide it by 6.
In the simplest form, the answer is 1/2.
Therefore, \(\frac{9}{12}\) – \(\frac{3}{12}\) = 1/2

Question 12.
\(\frac{4}{5}\) – \(\frac{2}{5}\) = ____
Answer:
The above-given:
4/5 – 2/5
As the denominators are equal, we can subtract them directly.
= 4 – 2/5
= 2/5
Therefore, \(\frac{4}{5}\) – \(\frac{2}{5}\) = 2/5.

Algebra Find each unknown.

Question 13.
\(\frac{5}{9}\) – \(\frac{1}{9}\) = b
b = _____
Answer:
The above-given:
b = 5/9 – 1/9
As the denominators are equal, we can subtract them directly.
subtract the numerators.
b = 5 – 1/9
b = 4/9
Therefore, \(\frac{5}{9}\) – \(\frac{1}{9}\) = \(\frac{4}{9}\)

Question 14.
\(\frac{6}{8}\) – \(\frac{h}{8}\) = \(\frac{1}{8}\)
h = _____
Answer:
The above-given:
6/8 – h/8 = 1/8
As the denominators are equal, we can subtract them directly.
we need to find out the numerator that is the h value.
\(\frac{6}{8}\) – \(\frac{h}{8}\) = \(\frac{1}{8}\)
\(\frac{6}{8}\) – \(\frac{1}{8}\) = \(\frac{h}{8}\)
h = 5
Therefore, \(\frac{6}{8}\) – \(\frac{5}{8}\) = \(\frac{1}{8}\)

Question 15.
\(\frac{3}{4}\) – \(\frac{2}{4}\) = \(\frac{w}{4}\)
w = _____
Answer:
The above-given:
3/4 – 2/4 = w/4
As the denominators are equal, we can subtract them directly.
3 – 2/4 = w/4
1/4 = w/4
w = 1
Therefore, \(\frac{3}{4}\) – \(\frac{2}{4}\) = \(\frac{1}{4}\)

Problem Solving

Question 16.
Mathematical PRACTICE 1 Make Sense of Problems A bucket was \(\frac{7}{10}\) full of water. After Vick washed the car, the bucket was only \(\frac{3}{10}\) full. What fraction of the water in the bucket did Vick use to wash the car? Write in simplest form.
Answer:
The above-given:
The bucket full of water = 7/10
After washing the car, the bucket full of water = 3/10
The fraction of water = x
x = 7/10 – 3/10
as the denominators are equal, so we can directly subtract.
subtract the numerators and keep the denominators the same.
x = 7 – 3/10
x = 4/10
To write the simplest form, we can divide by 2
In the simplest form, we can write as 2/5.
Therefore, the answer is 2/5.

Question 17.
Roshanda bought \(\frac{5}{8}\) pound of ham and \(\frac{7}{8}\) pound of roast beef. How much more roast beef than ham did she buy? Write in simplest form.
Answer:
The above-given:
The number of pounds of ham Roshanda bought = 5/8
The number of pounds of roast beef = 7/8
The number of pounds more roast beef than ham did she buy = x
x = 7/8 – 5/8
x = (7 – 5)/8
x = 2/8
To write the simplest form, we can divide by 2
In the simplest form, we can write as 1/4
Therefore, the answer is 1/4.

Question 18.
Chris spent \(\frac{5}{6}\) hour drawing and \(\frac{2}{6}\) hour reading. How much more time did he spend drawing than reading? Write in simplest form.
Answer:
The above-given:
The number of hours Chris spent on drawing = 5/6
The number of hours of Chris spent on reading = 2/6
The number of more time he spends on drawing than reading = x
x = 5/6 – 2/6
x = 5 – 2/6
x = 3/6
To write the simplest form, we can divide by 3
In the simplest form, we can write as 1/2
Therefore, the answer is 1/2.

HOT Problems

Question 19.
Mathematical PRACTICE 2 Use Number Sense Felisa wrote the equation \(\frac{5}{6}\) – \(\frac{2}{3}\) = \(\frac{2}{3}\). How can you tell her answer is incorrect without calculating?
Answer:
The above-given:
5/6 – 2/3 = 2/3
The given equation is incorrect.
Actually, the answer is 1/6.
Take LCM and calculate.
5 – 4/6 = 1/6.

Question 20.
Building on the Essential Question How can models and equations help me subtract like fractions?
Answer:
We can draw a model representing the number of equal-sized parts. We can also subtract the numerators to find the number of equal-sized parts.

McGraw Hill My Math Grade 5 Chapter 9 Lesson 3 My Homework Answer Key

Practice

Subtract. Write each difference in simplest form.

Question 1.
\(\frac{3}{6}\) – \(\frac{1}{6}\) = _____
Answer:
The above-given:
3/6 – 1/6
As the denominators are equal, we can subtract them directly.
subtract the numerators and keep the denominators the same.
= 3 – 1/6
= 2/6
To write the simplest form, we can divide by 2
In the simplest form, we can write as 1/3.
Therefore, \(\frac{3}{6}\) – \(\frac{1}{6}\) = \(\frac{1}{3}\)

Question 2.
\(\frac{7}{9}\) – \(\frac{3}{9}\) = _____
Answer:
The above-given:
7/9 – 3/9
As the denominators are equal, we can subtract them directly.
subtract the numerators and keep the denominators the same.
= 7 – 3/9
= 4/9
Therefore, \(\frac{7}{9}\) – \(\frac{3}{9}\) = 4/9

Question 3.
\(\frac{7}{8}\) – \(\frac{2}{8}\) = _____
Answer:
The above-given:
7/8 – 2/8
As the denominators are equal, we can subtract them directly.
subtract the numerators and keep the denominators the same.
= 7 – 2/8
= 5/8
Therefore, \(\frac{7}{8}\) – \(\frac{2}{8}\) = 5/8

Problem Solving

The table shows the results of a survey of 28 students and their favorite tourist attractions. Use the table to answer Exercises 4 and 5.

Question 4.
What fraction of students prefer Mt. Rushmore Grand Canyon over the Grand Canyon? Write in simplest form.
Answer:
The above-given:
The fraction of Mt. Rushmore Grand Canyon = 14/28
The fraction of Grand Canyon = 8/18
subtract both fractions:
14/28 – 8/28
= 14 – 8/28
= 6/28
To write the simplest form, we can divide by 2
In the simplest form, we can write it as 3/14
Therefore, 3/14 of students prefer Mt. Rushmore Grand Canyon over the Grand Canyon.

Question 5.
Suppose four students change their minds and choose the Statue of Liberty instead of the Grand Canyon. What part of the class now prefers Mt Rushmore over the State of Liberty? Write in simplest form.
Answer:
The above-given:
The fraction of Mt. Rushmore Grand Canyon = 14/28
The fraction of State of Liberty = 6/28
Subtract both fractions:
14/28 – 6/28
= 14 – 6/28
= 8/28
To write the simplest form, we can divide by 4
In the simplest form, we can write it as 2/7

Question 6.
Mathematical PRACTICE 1Make Sense of Problems On a class trip to the museum, \(\frac{5}{8}\) of the students saw the dinosaurs and \(\frac{2}{8}\) of the students saw the jewellery collection. What fraction more of students saw the dinosaurs than the jewellery collection? Write in simplest form.
Answer:
The above-given:
The number of students who saw the dinosaurs = 5/8
The number of students who saw the jewellery collection = 2/8
The fraction of more students who saw the dinosaurs than the jewellery collection = x
x = 5/8 – 2/8
x = 3/8
Therefore, 3/8 of the students saw the dinosaurs than the jewellery collection.

Question 7.
The Indian Ocean is \(\frac{2}{10}\) of the area of the world’s oceans. What fraction represents the area of the remaining oceans that make up the world’s oceans? Write in simplest form.
Answer:
The above-given:
The area of the Indian ocean = 2/10
The world ocean = 1
now subtract
1 – 2/10
Take lcm
= 10 – 2/10
= 8/10
To write the simplest form, we can divide by 2
In the simplest form, we can write it as 4/5
Therefore, 4/5 area of the remaining oceans that make up the world’s oceans.

Test Practice

Question 8.
The pictures to the right show how much Sausage sausage and pepperoni pizza was left at the end of one day. Which fraction represents how much more sausage pizza than pepperoni pizza was left?
A. \(\frac{7}{8}\)
B. \(\frac{4}{8}\)
C. \(\frac{3}{8}\)
D. \(\frac{11}{8}\)

Answer: Option C is the correct answer.
Explanation:
The above-given:
The total number of parts = 8
The fraction of sausage = 7/8
The fraction of pepperoni = 4/8
subtract:
7/8 – 4/8
= 7 – 4/8
= 3/8
Therefore, 3/8 of the sausage pizza than pepperoni pizza was left.