18/140 as a decimal expansion provides the detailed information about what is 18/140 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
18/140 as a Decimal
18/140 = 0.1286
Hence,
18/140 as a decimal equals to 0.1286
where,
18/140 is a given fraction,
The decimal expansion of 18/140 is 0.1286
18/140 as a Mixed Number
The given fraction 18/140 can't be represented as a mixed number since the numerator 18 of the given fraction is smaller than the denominator 140.
The below work with steps provide the detailed information about how to convert fraction 18/140 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 18/140
What to be found:
Find the decimal expansion of fraction 18/140.
step 2 The numerator is smaller than the denominator of the fraction 18/140, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 18/140.
= 18/140 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 18/140 x 1/100
= 1800/140 x 1/100
step 4 Simplify the above expression further:
= 1800/140 x 1/100
= 1680 + 120/140 x 1/100
= ( 1680/140 + 120/140) x 1/100
= (12 + 120/140 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 120/140 in the above expression:
= (12 + 120/140 ) x 1/100
= (12 + 0.857) x 1/100
step 6 Simplify the above expression further:
= (12 + 0.857) x 1/100
= 12.857 x 1/100
= 12.857/100
18/140= 0.12857
Hence,
18/140 as a decimal is 0.12857