88/144 as a decimal expansion provides the detailed information about what is 88/144 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
88/144 as a Decimal
88/144 = 0.6111
Hence,
88/144 as a decimal equals to 0.6111
where,
88/144 is a given fraction,
The decimal expansion of 88/144 is 0.6111
88/144 as a Mixed Number
The given fraction 88/144 can't be represented as a mixed number since the numerator 88 of the given fraction is smaller than the denominator 144.
The below work with steps provide the detailed information about how to convert fraction 88/144 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 88/144
What to be found:
Find the decimal expansion of fraction 88/144.
step 2 The numerator is smaller than the denominator of the fraction 88/144, 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 88/144.
= 88/144 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 88/144 x 1/100
= 8800/144 x 1/100
step 4 Simplify the above expression further:
= 8800/144 x 1/100
= 8784 + 16/144 x 1/100
= ( 8784/144 + 16/144) x 1/100
= (61 + 16/144 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 16/144 in the above expression:
= (61 + 16/144 ) x 1/100
= (61 + 0.111) x 1/100
step 6 Simplify the above expression further:
= (61 + 0.111) x 1/100
= 61.111 x 1/100
= 61.111/100
88/144= 0.61111
Hence,
88/144 as a decimal is 0.61111