214/238 as a Decimal

214/238 as a decimal expansion provides the detailed information about what is 214/238 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

214/238 as a Decimal
214/238 = 0.8992
Hence,
214/238 as a decimal equals to 0.8992
where,
214/238 is a given fraction,
The decimal expansion of 214/238 is 0.8992

214/238 as a Mixed Number
The given fraction 214/238 can't be represented as a mixed number since the numerator 214 of the given fraction is smaller than the denominator 238.

The below work with steps provide the detailed information about how to convert fraction 214/238 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 214/238

What to be found:
Find the decimal expansion of fraction 214/238.

step 2 The numerator is smaller than the denominator of the fraction 214/238, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 214/238.
= 214/238 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 214/238 x 1/10
= 2140/238 x 1/10

step 4 Simplify the above expression further:
= 2140/238 x 1/10
= 1904 + 236/238 x 1/10
= ( 1904/238 + 236/238) x 1/10
= (8 + 236/238 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 236/238 in the above expression:
= (8 + 236/238 ) x 1/10
= (8 + 0.992) x 1/10

step 6 Simplify the above expression further:
= (8 + 0.992) x 1/10
= 8.992 x 1/10
= 8.992/10
214/238= 0.8992

Hence,
214/238 as a decimal is 0.8992