What is 10.2 as a fraction?

10.2 as a fraction in simplest form is written as 10 1/5

=
/

Calculate 10.2 as a fraction

To convert 10.2 into a fraction, here are the steps.

Any number can be written as a fraction by using 1 as the denominator. So, we converted 0.375 into a fraction with a denominator of 1.

10.2 =
10.2/1

Then, we removed the decimal part from the numerator to make it a whole number. Since 0.375 has 1 digits after the decimal point, we need to multiply both the numerator and the denominator by 10.

10.2 × 10/1 × 10
=
102/10

The next step is to make this fraction simpler because the biggest common factor (BCF) of 102 and 10 is 2. So, to simplify the fraction, we have to divide both the top and bottom numbers by 2.

102 ÷ 2/10 ÷ 2
=
51/5
=
10
1/5

That's it! The simplest form of 10.2 as a fraction is 10 1/5.

See Also: 10 1/5 as a decimal - 10 1/5 as an improper fraction

Examples of decimal to fraction calculations