What is 21.42 as a fraction?

Answer: 21.42 as a fraction equals 2142/100 or 1071/50

Here is the solution for converting 21.42 to a fraction:

Step 1:

First, we write 21.42 as  

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!

21.42/1

  =  

21.42 x 100/1 x 100

  =  

2142/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 2142 and 100. A factor is a number that divides into another number without any remainder.

The factors of 2142 are: 1  2  3  6  7  9  14  17  18  21  34  42  51  63  102  119  126  153  238  306  357  714  1071  2142 
The factors of 100 are: 1  2  4  5  10  20  25  50  100 
So for 2142 and 100 that gives us a GCF value of: 2

Step 4:

For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.

2142/100

  =  

2142 ÷ 2/100 ÷ 2

  =  

1071/50

Good work! We have just walked through the steps on how to represent 21.42 as a fraction.