5/238 as a Decimal

5/238 as a decimal expansion provides the detailed information about what is 5/238 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

5/238 as a Decimal
5/238 = 0.021
Hence,
5/238 as a decimal equals to 0.021
where,
5/238 is a given fraction,
The decimal expansion of 5/238 is 0.021

5/238 as a Mixed Number
The given fraction 5/238 can't be represented as a mixed number since the numerator 5 of the given fraction is smaller than the denominator 238.

The below work with steps provide the detailed information about how to convert fraction 5/238 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 5/238

What to be found:
Find the decimal expansion of fraction 5/238.

step 2 The numerator is smaller than the denominator of the fraction 5/238, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 2 more digits than the numerator, multiply 1000 with both numerator and denominator of 5/238.
= 5/238 x 1000/1000

step 3 Rearrange the fraction as like the below:
= 1000 x 5/238 x 1/1000
= 5000/238 x 1/1000

step 4 Simplify the above expression further:
= 5000/238 x 1/1000
= 4998 + 2/238 x 1/1000
= ( 4998/238 + 2/238) x 1/1000
= (21 + 2/238 ) x 1/1000

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 2/238 in the above expression:
= (21 + 2/238 ) x 1/1000
= (21 + 0.008) x 1/1000

step 6 Simplify the above expression further:
= (21 + 0.008) x 1/1000
= 21.008 x 1/1000
= 21.008/1000
5/238= 0.021008

Hence,
5/238 as a decimal is 0.021008