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Fractions and Decimals Worksheets - Page 9

Fractions and Decimals Worksheets
  • Page 9
 81.  
Write a decimal form for the model.


a.
3.454
b.
3.645
c.
3.625
d.
None of the above


Solution:

The model represents a mixed number of 320 / 32.


Keep the whole number 3 and simplify the fraction 20 / 32. Using long division method the fraction 20 / 32 is simplified as:

2032 = 0.625

32032= 3 + 0.625
[Combine the whole number and the Fraction.]

= 3.625
[Simplify.]

The model represents a decimal of 3.625.


Correct answer : (3)
 82.  
The diameter of the cup is 31 2 inches. Express its diameter in decimal form.
a.
3.5 inches
b.
3.6 inches
c.
3.4 inches
d.
None of the above


Solution:


Keep the whole number 3 and simplify the fraction 1 / 2 inches using long division method.

12 = 0.5

312 = 3 + 0.5
[Combine the two.]

= 3.5 inches

The diameter of the cup is 3.5 inches.


Correct answer : (1)
 83.  
Joe went for fishing. He caught a fish 5 8 ft long. Which one represents the length of the fish in decimal form?
a.
0.645 ft
b.
0.625 ft
c.
0.635 ft
d.
None of the above


Solution:


Divide 5 by 8.

5 / 8 = 0.625

The equivalent decimal for the length of the fish is 0.625 ft.


Correct answer : (2)
 84.  
Paula used 1 4 of a cup of milk for preparing an ice cream. Express the amount of milk used by Paula in decimal form.
a.
0.75
b.
0.25
c.
0.45
d.
None of the above


Solution:


Using long division method we can convert a fraction into decimal.

The fraction 1 / 4 converted to a decimal is 0.25.

So, Paula used 0.25 of a cup of milk for preparing the ice cream.


Correct answer : (2)
 85.  
One bag of popcorn contains 16 11ounces of it. Express the fraction in decimal form.
a.
1.53
b.
1.55
c.
1.54
d.
1.63


Solution:

1611
[Keep the whole number 1 and simplify the fraction 6 / 11.]


Using long division method we can simplify the fraction 6 / 11

6 / 11 = 0.54

One bag of popcorn contains 1.54 ounces of popcorn.


Correct answer : (3)
 86.  
Justin and Charles went for skating. The diameter of the wheels of the skating shoe is 11 4 inches. Express the fraction in decimal form.
a.
1.24 inches
b.
1.25 inches
c.
1.30 inches
d.
None of the above


Solution:

114
[Keep the whole number 1 and Simplify the fraction 1 / 4.]


Using long division method we can simplify the fraction.

114 = 1 + 0.25 = 1.25

The diameter of the skating shoe is 1.25 inches.


Correct answer : (2)
 87.  
Paul bought 2.83 lb of broccoli, 0.75 lb of turnip, and 1.14 lb of potatoes. Which of the following is the best estimate of the total weight?
a.
4 lb
b.
3 lb
c.
5 lb
d.
6 lb


Answer: (c)


Correct answer : (3)
 88.  
Express the fraction -16 33 as a decimal to four places.
a.
0.4849
b.
- 0.4848
c.
0.4848
d.
- 0.4849


Solution:

-1633
[Original fraction.]

= - 0.4848
[Divide.]


Correct answer : (2)
 89.  
Write the decimal number 0.8 as a fraction.
a.
n = 8 9
b.
n = 8 13
c.
n = 8 11
d.
None of the above


Solution:

n = 0.8
Let the variable n equal the decimal.

100n = 88.88
[Multiply each side by 102, or 100, because 2 digits repeat.]

100n = 88.888888...........
-   n =   0.888888...........
-----------------------------
 99n = 88.000000...........
-----------------------------





[Subtract to eliminate the repeating decimal.]

99n99 = 8899
[Divide each side by 99.]

n = 8899
[Simplify.]

n = 89
[Divide the numerator and the denominator by their G.C.F, 11.]

So, the fraction of the decimal number 0.8 is 8 / 9.


Correct answer : (1)
 90.  
Express the fraction 23 4 as a decimal number.
a.
2.75
b.
3.15
c.
5.15
d.
None of the above


Solution:

234
[Original fraction.]

= 114
[Write the mixed fraction as an improper fraction.]

= 2.75
[Divide.]


Correct answer : (1)

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