Table of Contents
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
Numerator = 75
Denominator = 100 (since there are two decimal places)
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
Simplified Denominator = 100 ÷ 25 = 4
So, the decimal 0.75 can be converted to the fraction 3/4.
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
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.
