142/160 as a Decimal

142/160 as a decimal expansion provides the detailed information about what is 142/160 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

142/160 as a Decimal
142/160 = 0.8875
Hence,
142/160 as a decimal equals to 0.8875
where,
142/160 is a given fraction,
The decimal expansion of 142/160 is 0.8875

142/160 as a Mixed Number
The given fraction 142/160 can't be represented as a mixed number since the numerator 142 of the given fraction is smaller than the denominator 160.

The below work with steps provide the detailed information about how to convert fraction 142/160 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 142/160

What to be found:
Find the decimal expansion of fraction 142/160.

step 2 The numerator is smaller than the denominator of the fraction 142/160, 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 142/160.
= 142/160 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 142/160 x 1/10
= 1420/160 x 1/10

step 4 Simplify the above expression further:
= 1420/160 x 1/10
= 1280 + 140/160 x 1/10
= ( 1280/160 + 140/160) x 1/10
= (8 + 140/160 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 140/160 in the above expression:
= (8 + 140/160 ) x 1/10
= (8 + 0.875) x 1/10

step 6 Simplify the above expression further:
= (8 + 0.875) x 1/10
= 8.875 x 1/10
= 8.875/10
142/160= 0.8875

Hence,
142/160 as a decimal is 0.8875