5/21 as a Decimal
5/21 as a decimal expansion provides the detailed information about what is 5/21 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
5/21 as a Decimal Expansion
5/21 = 0.2381
Hence,
5/21 as a decimal equals to 0.2381
where,
5/21 is a given fraction,
The decimal expansion of 5/21 is 0.2381
5/21 as a Mixed Number
The given fraction 5/21 can't be represented as a mixed number since the numerator 5 of the given fraction is smaller than the denominator 21.
How-to: 5/21 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 5/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 5/21
What to be found:
Find the decimal expansion of fraction 5/21.
step 2 The numerator is smaller than the denominator of the fraction 5/21, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 5/21.
= 5/21 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 5/21 x 1/100
= 500/21 x 1/100
step 4 Simplify the above expression further:
= 500/21 x 1/100
= 483 + 17/21 x 1/100
= ( 483/21 + 17/21) x 1/100
= (23 + 17/21 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 17/21 in the above expression:
= (23 + 17/21 ) x 1/100
= (23 + 0.81) x 1/100
step 6 Simplify the above expression further:
= (23 + 0.81) x 1/100
= 23.81 x 1/100
= 23.81/100
5/21= 0.2381
Hence,
5/21 as a decimal is 0.2381
