Solved Examples and Worksheet for Converting Fractions and Decimals

Q1Jake ate 12 of the burger. Write the fraction of burger he ate as a decimal.
A. 0.8
B. 1.5
C. 0.5
D. 0.7

Solutions
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Step: 1
The fraction of burger eaten by Jake is 12.
Step: 2
12 = 1 ÷ 2
  
Step: 3
= 0.5
  [Divide.]
Correct Answer is :   0.5
Q2Express 8.15 as a fraction.

A. 8321
B. 8320
C. 8421
D. None of the above

Solutions
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Step: 1
8.15
  [Original decimal number.]
Step: 2
= 815100
  [Since 8.15 is 8 and 15 hundredths, use 100 as denominator to express 8.15 as a mixed number.]
Step: 3
= 815÷5100÷5
  [Write the fraction in its simplest form using GCF.]
Step: 4
= 8320
  [Simplify.]
Step: 5
The equivalent fraction of the decimal number 8.15 is 8320.
Correct Answer is :   8320
Q3Brad filled 213 gallons of gasoline in his car. Write the fraction in decimal form.

A. 4.33
B. 5.33...
C. 3.33
D. 2.33...

Solutions
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Step: 1
213 = 2 + 13
  [Write the mixed number as a sum of whole number and the fraction.]
Step: 2
= 2 + 0.33...
  [Change the fraction to a decimal.]
Step: 3
= 2.33..
  [Add.]
Step: 4
Brad' s car can hold 2.33. . . gallons of gasoline.
Correct Answer is :   2.33...
Q4Irena had 5 cups of ice cream, she wanted to split it evenly between her two children. She served 52 cups of ice cream to each one. What is the decimal equivalent of the amount of ice cream she served to each child?
A. 3.5
B. 1.5
C. 2.5
D. None of the above

Solutions
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Step: 1
52
  [Original fraction.]
Step: 2
= 2.5
  [Divide 5 by 2 to change the fraction to a decimal.]
Step: 3
The decimal form of the fraction is 2.5
Correct Answer is :   2.5
Q5Tommy can walk 312 miles in an hour. Convert the fraction into decimal.

A. 3.50 miles
B. 6.50 miles
C. 5.50 miles
D. 4.50 miles

Solutions
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Step: 1
312 = 3 + 12
  [Write the mixed number as a sum of whole number and the fraction.]
Step: 2
= 3 + 0.50
  [Change the fraction to a decimal; Divide the numerator by the denominator.]
Step: 3
= 3.50
  [Add.]
Step: 4
Tommy walks 3.50 miles in one hour.
Correct Answer is :   3.50 miles
Q62 pants can be made from 6812 inches of cloth. Express the fraction in decimal form.

A. 67.50 in.
B. 68.50 in.
C. 66.50 in.
D. 69.50 in.

Solutions
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Step: 1
6812 = 68 + 12
  [Write the mixed number as a sum of whole number and the fraction.]
Step: 2
= 68 + 0.50
  [Change the fraction to a decimal, divide the numerator by the denominator.]
Step: 3
= 68.50
  [Add.]
Step: 4
So, the decimal for the fraction 6812 is 68.50.
Correct Answer is :   68.50 in.
Q7John bought a pen and paid $0.74 for it. Write the cost of the pen as a fraction.
A. $3750
B. $1337
C. $1350
D. None of the above

Solutions
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Step: 1
0.74 = 74100
  [Since 0.74 is 74 hundredths, use 100 as denominator to express 0.74 as a fraction.]
Step: 2
= 74÷2100÷2
  [Write the fraction in simplest form using the GCF.]
Step: 3
= 3750
  
Step: 4
So, the pen cost is $3750.
Correct Answer is :   $3750
Q8A dolphin is 445 ft long. Convert the length of the dolphin into decimal form.

A. 4.8
B. 5.8
C. 6.8
D. 3.8

Solutions
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Step: 1
445 = 4 + 45
  [Write the mixed number as a sum of whole number and the fraction.]
Step: 2
= 4 + 0.8
  [Change the fraction to a decimal; Divide the numerator by the denominator.]
Step: 3
= 4.8
  [Add.]
Step: 4
The equivalent decimal is 4.8
Correct Answer is :   4.8
Q9An alligator is 12.36 ft long. Express its length as a fraction.
A. 12925 ft
B. 13925 ft
C. 1225 ft
D. 121225 ft

Solutions
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Step: 1
12.36 = 1236100
  [Since 12.36 is 12 and 36 hundredths, use 100 as denominator to express 12.36 as a mixed number.]
Step: 2
= 1236÷4100÷4
  [Write the fraction in simplest form using the GCF.]
Step: 3
= 12925
  [Simplify.]
Step: 4
The alligator is 12925 ft long.
Correct Answer is :   12925 ft
Q10Jimmy had 34 of a pie. Write the decimal form for the fraction of the pie.

A. 0.873
B. 0.75
C. 0.773
D. None of the above

Solutions
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Step: 1
34 = 0.75
  [Divide numerator with denominator.]
Step: 2
The decimal form for the fraction of pie is 0.75
Correct Answer is :   0.75
Q11The cost of a smaller ice-cream is half the cost of the larger one. What is the decimal equivalent of the fraction?
A. 0.25
B. 0.50
C. 0.48
D. 4.8

Solutions
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Step: 1
Half of a whole is written in the form of a fraction as 12 .
Step: 2
12 is equivalent to 510 .
Step: 3
510 can be written in the decimal form as 0.50.
Step: 4
So, 12 is the same as 0.50.
Correct Answer is :   0.50

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