142/169 as a Decimal

142/169 as a decimal expansion provides the detailed information about what is 142/169 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

142/169 as a Decimal
142/169 = 0.8402
Hence,
142/169 as a decimal equals to 0.8402
where,
142/169 is a given fraction,
The decimal expansion of 142/169 is 0.8402

142/169 as a Mixed Number
The given fraction 142/169 can't be represented as a mixed number since the numerator 142 of the given fraction is smaller than the denominator 169.

The below work with steps provide the detailed information about how to convert fraction 142/169 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 142/169

What to be found:
Find the decimal expansion of fraction 142/169.

step 2 The numerator is smaller than the denominator of the fraction 142/169, 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 142/169.
= 142/169 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 142/169 x 1/10
= 1420/169 x 1/10

step 4 Simplify the above expression further:
= 1420/169 x 1/10
= 1352 + 68/169 x 1/10
= ( 1352/169 + 68/169) x 1/10
= (8 + 68/169 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 68/169 in the above expression:
= (8 + 68/169 ) x 1/10
= (8 + 0.402) x 1/10

step 6 Simplify the above expression further:
= (8 + 0.402) x 1/10
= 8.402 x 1/10
= 8.402/10
142/169= 0.8402

Hence,
142/169 as a decimal is 0.8402