How to convert decimal to fraction Solved Example
- Decimal to fraction conversion table
FAQs on decimal to fraction

How to convert decimal to fraction

To convert a decimal to a fraction, follow these steps:

Identify the Decimal Number: Let’s say you have a decimal number like 0.75 that you want to convert to a fraction.
Count Decimal Places: Count the number of decimal places in the decimal number. In the case of 0.75, there are two decimal places.
Create a Fraction: The decimal number can be thought of as a fraction where the numerator is the decimal number without the decimal point and the denominator is 1 followed by the same number of zeros as there are decimal places.

For 0.75

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Numerator = 75

Denominator = 100 (since there are two decimal places)

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Simplify the Fraction: If possible, simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, and then dividing both by the GCD. In this case, 75 and 100 have a GCD of 25.

Simplified Numerator = 75 ÷ 25 = 3

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Simplified Denominator = 100 ÷ 25 = 4

So, the decimal 0.75 can be converted to the fraction 3/4.

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In mathematical notation, the process can be summarized as:

Decimal Number: 0.75
Decimal Places: 2

Numerator = 75
Denominator = 100

Simplified:
Numerator = 3
Denominator = 4

Fraction: 3/4

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How to convert decimal to fraction Solved Example

Example 1 – Convert 0.32 to fraction

Ans. 0.32 = 32/100

Find the greatest common divisor (gcd) of the numerator and the denominator:

gcd(32,100) = 4

Reduce the fraction by dividing the numerator and the denominator with the gcd:

0.32 = (32/4) / (100/4) = 8/25

Example 2 – Convert 2.56 to fraction

Ans. 2.56 = 2+56/100

Find the greatest common divisor (gcd) of the numerator and the denominator:

gcd(56,100) = 4

Reduce the fraction by dividing the numerator and the denominator with the gcd:

2+56/100 = 2 + (56/4) / (100/4) = 2+14/25

Example 3 – Convert 0.124 to fraction

Ans. 0.124 = 124/1000

Find the greatest common divisor (gcd) of the numerator and the denominator:

gcd(124,1000) = 4

Reduce the fraction by dividing the numerator and the denominator with the gcd:

0.124 = (124/4) / (1000/4) = 31/250

Decimal to fraction conversion table

Decimal	Fraction
0.001	1/1000
0.01	1/100
0.1	1/10
0.11111111	1/9
0.125	1/8
0.14285714	1/7
0.16666667	1/6
0.2	1/5
0.22222222	2/9
0.25	1/4
0.28571429	2/7
0.3	3/10
0.33333333	1/3
0.375	3/8
0.4	2/5
0.42857143	3/7
0.44444444	4/9
0.5	1/2
0.55555555	5/9
0.57142858	4/7
0.625	5/8
0.66666667	2/3
0.6	3/5
0.7	7/10
0.71428571	5/7
0.75	3/4
0.77777778	7/9
0.8	4/5
0.83333333	5/6
0.85714286	6/7
0.875	7/8
0.88888889	8/9
0.9	9/10

FAQs on decimal to fraction

How do you convert 1.75 into a fraction?

To convert 1.75 into a fraction, first, recognize that it's a mixed number with a whole part and a decimal part. The whole part is 1, and the decimal part is 0.75. To convert the decimal part to a fraction, we can use the fact that 0.75 is three-fourths (3/4) in fractional form. Therefore, 1.75 can be expressed as the fraction 1 3/4.

How do you turn 0.75 into a fraction?

To convert 0.75 into a fraction, recognize that the decimal is already in fractional form with the denominator 100 (because there are two decimal places). So, 0.75 can be written as 75/100. To simplify the fraction, you can divide both the numerator and denominator by their greatest common divisor, which is 25. Dividing both by 25 results in 3/4.

What is 1.5 as a fraction?

1.5 can be represented as the fraction 1 1/2.

What is 0.124 as a fraction?

0.124 is equivalent to the fraction 124/1000.

What is 12.56 as a fraction?

12.56 can be represented as the mixed number 12 14/25.

What is 44.75 as a fraction?

44.75 can be expressed as the mixed number 44 3/4.