100/149 as a Decimal

100/149 as a decimal expansion provides the detailed information about what is 100/149 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

100/149 as a Decimal
100/149 = 0.6711
Hence,
100/149 as a decimal equals to 0.6711
where,
100/149 is a given fraction,
The decimal expansion of 100/149 is 0.6711

100/149 as a Mixed Number
The given fraction 100/149 can't be represented as a mixed number since the numerator 100 of the given fraction is smaller than the denominator 149.

The below work with steps provide the detailed information about how to convert fraction 100/149 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 100/149

What to be found:
Find the decimal expansion of fraction 100/149.

step 2 The numerator is smaller than the denominator of the fraction 100/149, 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 100/149.
= 100/149 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 100/149 x 1/10
= 1000/149 x 1/10

step 4 Simplify the above expression further:
= 1000/149 x 1/10
= 894 + 106/149 x 1/10
= ( 894/149 + 106/149) x 1/10
= (6 + 106/149 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 106/149 in the above expression:
= (6 + 106/149 ) x 1/10
= (6 + 0.711) x 1/10

step 6 Simplify the above expression further:
= (6 + 0.711) x 1/10
= 6.711 x 1/10
= 6.711/10
100/149= 0.6711

Hence,
100/149 as a decimal is 0.6711