10.2 as a fraction

How to convert 10.2 as a fraction? Here you will see step by step solution to convert 10.2 number to fraction. 10.2 as a fraction written as 10 1/5, please check the explanation that how to convert 10.2 in fraction.

Answer: 10.2 in fraction

= 10 1/5

How to convert 10.2 in fraction?

Given number is => 10.2

To convert the 10.2 to fraction simply rewrite the decimal number as a fraction with 1 in the denominator.

10.2 = 10.2/1

We have 1 digits after the decimal point, multiply both top and bottom by 10

10.2/1 × 10/10 = 102/10

Now find the greatest common factor (GCF) of 102 and 10 and reduce the fraction by dividing both numerator and denominator by 2.

GCF(102, 10) = 2

102 ÷ 2 / 10 ÷ 2 = 51 / 5

Now, simplify to the improper fraction:

= 10 1 / 5

Final conclusion -
10.2 = 10 1 / 5

Hence, the decimal number 10.2 is in fraction form written as 10 1 / 5

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