12/144 as a decimal expansion provides the detailed information about what is 12/144 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
12/144 as a Decimal
12/144 = 0.0833
Hence,
12/144 as a decimal equals to 0.0833
where,
12/144 is a given fraction,
The decimal expansion of 12/144 is 0.0833
12/144 as a Mixed Number
The given fraction 12/144 can't be represented as a mixed number since the numerator 12 of the given fraction is smaller than the denominator 144.
The below work with steps provide the detailed information about how to convert fraction 12/144 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 12/144
What to be found:
Find the decimal expansion of fraction 12/144.
step 2 The numerator is smaller than the denominator of the fraction 12/144, 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 12/144.
= 12/144 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 12/144 x 1/100
= 1200/144 x 1/100
step 4 Simplify the above expression further:
= 1200/144 x 1/100
= 1152 + 48/144 x 1/100
= ( 1152/144 + 48/144) x 1/100
= (8 + 48/144 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 48/144 in the above expression:
= (8 + 48/144 ) x 1/100
= (8 + 0.333) x 1/100
step 6 Simplify the above expression further:
= (8 + 0.333) x 1/100
= 8.333 x 1/100
= 8.333/100
12/144= 0.08333
Hence,
12/144 as a decimal is 0.08333