To get the best deal on Tutoring, call 1-855-666-7440 (Toll Free)

Fractions and Decimals Worksheets - Page 8

Fractions and Decimals Worksheets
  • Page 8
 71.  
Write 4 3 as a decimal.
a.
1.6
b.
1.3
c.
1.3
d.
None of the above


Solution:

43 = 1.33333...
[Divide.]

= 1.3
[Place a bar on the digit 3 since 3 repeats.]


Correct answer : (3)
 72.  
Write the numbers 1 4, 1.3 and - 2 3 from the least to the greatest.
a.
1 4 < 1.3 < - 2 3
b.
1 4 < - 2 3 < 1.3
c.
- 2 3 < 1 4 < 1.3
d.
None of the above


Solution:

14 = 0.25
[Divide.]

- 23 = -0.67
[Divide.]

The order from least to greatest is -0.67 < 0.25 < 1.3

= - 23 < 14 < 1.3


Correct answer : (3)
 73.  
Write 5.50 as a mixed number in its simplest form.
a.
5
b.
41 2
c.
51 2
d.
None of the above


Solution:

5.50 = 550100
[Keep the whole number 5. Write 50 hundredths as a fraction.]

= 5(50÷50)(100÷50)
[Divide the numerator and denominator by G.C.F, 50.]

= 512
[Simplify.]

5.50 = 51 / 2


Correct answer : (3)
 74.  
Write 3.006 as a mixed number in its simplest form.
a.
43 500
b.
23 500
c.
33 500
d.
None of the above


Solution:

3.006 = 361000
[Keep the whole number 3. Write 6 thousandths as a fraction.]

= 36÷21000÷2
[Divide numerator and denominator by G.C.F 2.]

= 33500
[Simplify.]


Correct answer : (3)
 75.  
Write 0.9 as a fraction in its simplest form.
a.
8 9
b.
1
c.
12 9
d.
11 9


Solution:

Let n be the number, which is equal to the decimal 0.9 .

10 x n = 0.9 x 10
[Since 1 digit is repeated, multiply each side by 10.]

10n - n = 9.9 - 0.9
[Use subtraction property of equality. So subtract to eliminate 0.9 .]

9n = 9
[Subtract each side to eliminate 0.9 .]

9n9 = 99
[Divide each side by 9.]

n = 1
[Simplify.]


Correct answer : (2)
 76.  
Ed ate 2 3 of the burger. Write the fraction of burger he ate as a decimal.
a.
0.867
b.
1.667
c.
0.967
d.
0.667


Solution:

The fraction of burger eaten by Ed is 2 / 3.

23 = 2 ÷ 3

= 0.667
[Divide.]


Correct answer : (4)
 77.  
Write 61 8 as a decimal.
a.
7.125
b.
6.525
c.
6.325
d.
6.125


Solution:

618 = 498
[Write as an improper fraction.]

= 49 ÷ 8

= 6.125
[Divide.]


Correct answer : (4)
 78.  
Identify the fraction 7 8 as a decimal.
a.
0.88
b.
8.75
c.
0.875
d.
1.142


Solution:

7 / 8 = 7 ÷ 8
[Divide numerator with denominator.]



The decimal equivalent of the fraction is 0.875.


Correct answer : (3)
 79.  
Express the mixed number 27 12 as a decimal using long division method.
a.
2.583..
b.
2.567..
c.
2.578..
d.
None of the above


Solution:

Using long division method keep the whole number 2 and simplify the fraction 7 / 12.



Here the quotient is a repeating decimal. Hence, 7 / 12= 0.583
[The bar over the 3 means that the digit 3 repeats.]

= 2 + 0.583 = 2.583

The mixed number 27 / 12can be written as a decimal 2.583 .


Correct answer : (1)
 80.  
Express the model in decimal form.


a.
0.5
b.
0.4
c.
0.3
d.
None of the above


Solution:

The model represents a fraction of 4 / 10.


Using pencil and paper

The model represents a decimal of 0.4


Correct answer : (2)

*AP and SAT are registered trademarks of the College Board.