171/172 as a Decimal

171/172 as a decimal expansion provides the detailed information about what is 171/172 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

171/172 as a Decimal
171/172 = 0.9942
Hence,
171/172 as a decimal equals to 0.9942
where,
171/172 is a given fraction,
The decimal expansion of 171/172 is 0.9942

171/172 as a Mixed Number
The given fraction 171/172 can't be represented as a mixed number since the numerator 171 of the given fraction is smaller than the denominator 172.

The below work with steps provide the detailed information about how to convert fraction 171/172 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 171/172

What to be found:
Find the decimal expansion of fraction 171/172.

step 2 The numerator is smaller than the denominator of the fraction 171/172, 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 171/172.
= 171/172 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 171/172 x 1/10
= 1710/172 x 1/10

step 4 Simplify the above expression further:
= 1710/172 x 1/10
= 1548 + 162/172 x 1/10
= ( 1548/172 + 162/172) x 1/10
= (9 + 162/172 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 162/172 in the above expression:
= (9 + 162/172 ) x 1/10
= (9 + 0.942) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.942) x 1/10
= 9.942 x 1/10
= 9.942/10
171/172= 0.9942

Hence,
171/172 as a decimal is 0.9942