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Adding and Subtracting Fractions Worksheet
Practice Problems
3 2 4 14
[Original expression.]
3 2 2 7
[Simplify.]
=3 × 2 2 × 7
[Multiply numerators and denominators separately.]
=3 7
[Simplify.]
The fraction3 7
So, Figure 4 is the model representing the product of the fractions3 2 4 14
So, the product statement of the numbers represented by the given letters is 0.4 × 1.2 × 0.2.
h
Jones' height - John's height = 22.6
[Original expression.]
h
[Substitute the values.]
h
[Add 157.3 to each side.]
So, Jones' height is 157.3 + 22.6 cm.
9 24 8 27 9 × 9 2 4 × 9 8 × 8 2 7 × 8
[Use LCD 216 to write equivalent fractions.]
=81 216 64 216
[Simplify.]
=8 1 - 6 4 2 1 6
[Since the denominators are equal, subtract the numerators.]
=17 216
5 8 1 4
=5 8 2 8
[Use LCD 8 to write equivalent fractions.]
=5 - 2 8
[Since the denominators are equal, subtract the numerators.]
=3 8
She has to eat3 8 5 8
7 9 8 9
[Original expression.]
=- 7 + 8 9
[Since the denominators are equal, add the numerators.]
=1 9
The sum of -7 9 8 9 1 9
3 7 3 10
[Original expression.]
3 × 1 0 7 × 1 0 3 × 7 1 0 × 7
[Use LCD 70 to write equivalent fractions.]
=30 70 21 70
=3 0 + 2 1 7 0
[Since the denominators are equal, add the numerators.]
=51 70
Christina and Lydia plucked51 70
Find: -
8 9 5 6
[Original expression.]
=8 × 2 9 × 2 5 × 3 6 × 3
[Use LCD 18 to write equivalent fractions.]
=16 18 15 18
[Simplify.]
=1 6 - 1 5 1 8
[Since the denominators are equal, subtract the numerators.]
=1 18
[Simplify.]
10 11 9 22
[Original e×pression.]
=2 × 1 0 2 × 1 1 9 2 2
[Write the fractions with the same denominator using their LCD, 22.]
=20 22 9 22
[Simplify.]
=2 0 - 9 2 2
[Subtract the numerators.]
=11 22 1 2
[Simplify.]
Charlie picked up1 2
9 19 4 38
(9×2) (19×2) 4 38
[The LCD is 38.]
=18 38 4 38
[Write the equivalent fractions with a denominator of 38.]
=(18+4) 38
[Add the numerators.]
=22 38 11 19
[Simplify.]
The actual population less than the estimated value =9 19 4 38
(9×2) (19×2) 4 38
[The LCD is 38.]
=18 38 4 38
[Write the equivalent fractions with a denominator of 38.]
=(18-4) 38
[Subtract the numerators.]
=14 38 7 19
[Simplify.]
The possible values for the actual population could be11 19 7 19
Adding and Subtracting Fractions Worksheet
- Page 1
1.
Which model represents the product of the fractions and ?
 | a. | Figure 4 | |
| b. | Figure 3 | ||
| c. | Figure 2 | ||
| d. | Figure 1 |
Solution:
[Original expression.]
[Simplify.]
=
[Multiply numerators and denominators separately.]
=
[Simplify.]
The fraction
So, Figure 4 is the model representing the product of the fractions
Correct answer : (1)
2.
Write the product statement of the numbers represented by the letters C, G and B on the number line.
| a. | 0.4 × 0.8 × 0.2 | ||
| b. | 0.8 × 1.2 × 0.2 | ||
| c. | 0.4 × 1.2 × 0.2 | |
| d. | 0.2 × 0.6 × 0.4 |
Solution:
From the number line, the value of C = 0.4, G = 1.2 and B = 0.2So, the product statement of the numbers represented by the given letters is 0.4 × 1.2 × 0.2.
Correct answer : (3)
3.
The difference between Jones' height and John's height is 22.6 cm. Identify the expression that tells you Jones' height, if John's height is 157.3 cm.
| a. | cm | ||
| b. | 157.3 - 22.6 cm | ||
| c. | 157.3 + 22.6 cm | |
| d. | ( 157.3) × (22.6) cm |
Solution:
Let the John's height beJones' height - John's height = 22.6
[Original expression.]
[Substitute the values.]
[Add 157.3 to each side.]
So, Jones' height is 157.3 + 22.6 cm.
Correct answer : (3)
4.
Subtract:
-
| a. | |||
| b. | ||
| c. | 1 | ||
| d. |
Solution:
[Use LCD 216 to write equivalent fractions.]
=
[Simplify.]
=
[Since the denominators are equal, subtract the numerators.]
=
Correct answer : (2)
5.
Katie ate of a burger. How much more of the burger should she eat to complete of the burger?
| a. | ||
| b. | |||
| c. | |||
| d. |
Solution:
=
[Use LCD 8 to write equivalent fractions.]
=
[Since the denominators are equal, subtract the numerators.]
=
She has to eat
Correct answer : (1)
6.
Find the sum of - and .
| a. | |||
| b. | |||
| c. | |||
| d. |
Solution:
-[Original expression.]
=
[Since the denominators are equal, add the numerators.]
=
The sum of -
Correct answer : (4)
7.
Christina and Lydia are plucking oranges in an orchard. Christina has plucked of the oranges and Lydia has plucked of the oranges. What fraction of oranges did Christina and Lydia pluck together?
| a. | |||
| b. | |||
| c. | |||
| d. |
Solution:
[Original expression.]
[Use LCD 70 to write equivalent fractions.]
=
=
[Since the denominators are equal, add the numerators.]
=
Christina and Lydia plucked
Correct answer : (4)
8.
| a. | |||
| b. | |||
| c. | ||
| d. |
Solution:
[Original expression.]
=
[Use LCD 18 to write equivalent fractions.]
=
[Simplify.]
=
[Since the denominators are equal, subtract the numerators.]
=
[Simplify.]
Correct answer : (3)
9.
Charlie and Jeff are picking up trash along the highway. Together they have picked up of the trash. Jeff has picked up of the trash. Find the fraction of trash picked up by Charlie.
| a. | ||
| b. | |||
| c. | |||
| d. |
Solution:
[Original e×pression.]
=
[Write the fractions with the same denominator using their LCD, 22.]
=
[Simplify.]
=
[Subtract the numerators.]
=
[Simplify.]
Charlie picked up
Correct answer : (1)
10.
A survey taken reported that th of the population listened to the President's speech. If the margin for error is plus or minus , then what are the maximum and minimum values for the actual number of people who listened the speech?
| a. | and | ||
| b. | and | ||
| c. | and | |
| d. | None of the above |
Solution:
The actual population more than the estimated value =[The LCD is 38.]
=
[Write the equivalent fractions with a denominator of 38.]
=
[Add the numerators.]
=
[Simplify.]
The actual population less than the estimated value =
[The LCD is 38.]
=
[Write the equivalent fractions with a denominator of 38.]
=
[Subtract the numerators.]
=
[Simplify.]
The possible values for the actual population could be
Correct answer : (3)