400.2 as a fraction

How to convert 400.2 as a fraction? Here you will see step by step solution to convert 400.2 number to fraction. 400.2 as a fraction written as 400 1/5, please check the explanation that how to convert 400.2 in fraction.

Answer: 400.2 in fraction

= 400 1/5

How to convert 400.2 in fraction?

Given number is => 400.2

To convert the 400.2 to fraction simply rewrite the decimal number as a fraction with 1 in the denominator.

400.2 = 400.2/1

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

400.2/1 × 10/10 = 4002/10

Now find the greatest common factor (GCF) of 4002 and 10 and reduce the fraction by dividing both numerator and denominator by 2.

GCF(4002, 10) = 2

4002 ÷ 2 / 10 ÷ 2 = 2001 / 5

Now, simplify to the improper fraction:

= 400 1 / 5

Final conclusion -
400.2 = 400 1 / 5

Hence, the decimal number 400.2 is in fraction form written as 400 1 / 5

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