ConvertNumber conversionHow to convert decimal to fraction

How to convert decimal to fraction

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

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    • 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.

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