142/172 as a Decimal

142/172 as a decimal expansion provides the detailed information about what is 142/172 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

142/172 as a Decimal
142/172 = 0.8256
Hence,
142/172 as a decimal equals to 0.8256
where,
142/172 is a given fraction,
The decimal expansion of 142/172 is 0.8256

142/172 as a Mixed Number
The given fraction 142/172 can't be represented as a mixed number since the numerator 142 of the given fraction is smaller than the denominator 172.

The below work with steps provide the detailed information about how to convert fraction 142/172 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 142/172

What to be found:
Find the decimal expansion of fraction 142/172.

step 2 The numerator is smaller than the denominator of the fraction 142/172, 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 142/172.
= 142/172 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 142/172 x 1/10
= 1420/172 x 1/10

step 4 Simplify the above expression further:
= 1420/172 x 1/10
= 1376 + 44/172 x 1/10
= ( 1376/172 + 44/172) x 1/10
= (8 + 44/172 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 44/172 in the above expression:
= (8 + 44/172 ) x 1/10
= (8 + 0.256) x 1/10

step 6 Simplify the above expression further:
= (8 + 0.256) x 1/10
= 8.256 x 1/10
= 8.256/10
142/172= 0.8256

Hence,
142/172 as a decimal is 0.8256