164/185 as a Decimal

164/185 as a decimal expansion provides the detailed information about what is 164/185 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

164/185 as a Decimal
164/185 = 0.8865
Hence,
164/185 as a decimal equals to 0.8865
where,
164/185 is a given fraction,
The decimal expansion of 164/185 is 0.8865

164/185 as a Mixed Number
The given fraction 164/185 can't be represented as a mixed number since the numerator 164 of the given fraction is smaller than the denominator 185.

The below work with steps provide the detailed information about how to convert fraction 164/185 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 164/185

What to be found:
Find the decimal expansion of fraction 164/185.

step 2 The numerator is smaller than the denominator of the fraction 164/185, 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 164/185.
= 164/185 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 164/185 x 1/10
= 1640/185 x 1/10

step 4 Simplify the above expression further:
= 1640/185 x 1/10
= 1480 + 160/185 x 1/10
= ( 1480/185 + 160/185) x 1/10
= (8 + 160/185 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 160/185 in the above expression:
= (8 + 160/185 ) x 1/10
= (8 + 0.865) x 1/10

step 6 Simplify the above expression further:
= (8 + 0.865) x 1/10
= 8.865 x 1/10
= 8.865/10
164/185= 0.8865

Hence,
164/185 as a decimal is 0.8865