42/124 as a decimal expansion provides the detailed information about what is 42/124 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
42/124 as a Decimal
42/124 = 0.3387
Hence,
42/124 as a decimal equals to 0.3387
where,
42/124 is a given fraction,
The decimal expansion of 42/124 is 0.3387
42/124 as a Mixed Number
The given fraction 42/124 can't be represented as a mixed number since the numerator 42 of the given fraction is smaller than the denominator 124.
The below work with steps provide the detailed information about how to convert fraction 42/124 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 42/124
What to be found:
Find the decimal expansion of fraction 42/124.
step 2 The numerator is smaller than the denominator of the fraction 42/124, 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 42/124.
= 42/124 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 42/124 x 1/100
= 4200/124 x 1/100
step 4 Simplify the above expression further:
= 4200/124 x 1/100
= 4092 + 108/124 x 1/100
= ( 4092/124 + 108/124) x 1/100
= (33 + 108/124 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 108/124 in the above expression:
= (33 + 108/124 ) x 1/100
= (33 + 0.871) x 1/100
step 6 Simplify the above expression further:
= (33 + 0.871) x 1/100
= 33.871 x 1/100
= 33.871/100
42/124= 0.33871
Hence,
42/124 as a decimal is 0.33871