143/164 as a Decimal

143/164 as a decimal expansion provides the detailed information about what is 143/164 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

143/164 as a Decimal
143/164 = 0.872
Hence,
143/164 as a decimal equals to 0.872
where,
143/164 is a given fraction,
The decimal expansion of 143/164 is 0.872

143/164 as a Mixed Number
The given fraction 143/164 can't be represented as a mixed number since the numerator 143 of the given fraction is smaller than the denominator 164.

The below work with steps provide the detailed information about how to convert fraction 143/164 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 143/164

What to be found:
Find the decimal expansion of fraction 143/164.

step 2 The numerator is smaller than the denominator of the fraction 143/164, 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 143/164.
= 143/164 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 143/164 x 1/10
= 1430/164 x 1/10

step 4 Simplify the above expression further:
= 1430/164 x 1/10
= 1312 + 118/164 x 1/10
= ( 1312/164 + 118/164) x 1/10
= (8 + 118/164 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 118/164 in the above expression:
= (8 + 118/164 ) x 1/10
= (8 + 0.72) x 1/10

step 6 Simplify the above expression further:
= (8 + 0.72) x 1/10
= 8.72 x 1/10
= 8.72/10
143/164= 0.872

Hence,
143/164 as a decimal is 0.872