5/42 as a decimal expansion provides the detailed information about what is 5/42 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
5/42 as a Decimal Expansion
5/42 = 0.119
Hence,
5/42 as a decimal equals to 0.119
where,
5/42 is a given fraction,
The decimal expansion of 5/42 is 0.119
5/42 as a Mixed Number
The given fraction 5/42 can't be represented as a mixed number since the numerator 5 of the given fraction is smaller than the denominator 42.
The below work with steps provide the detailed information about how to convert fraction 5/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 5/42
What to be found:
Find the decimal expansion of fraction 5/42.
step 2 The numerator is smaller than the denominator of the fraction 5/42, 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 5/42.
= 5/42 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 5/42 x 1/100
= 500/42 x 1/100
step 4 Simplify the above expression further:
= 500/42 x 1/100
= 462 + 38/42 x 1/100
= ( 462/42 + 38/42) x 1/100
= (11 + 38/42 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 38/42 in the above expression:
= (11 + 38/42 ) x 1/100
= (11 + 0.905) x 1/100
step 6 Simplify the above expression further:
= (11 + 0.905) x 1/100
= 11.905 x 1/100
= 11.905/100
5/42= 0.11905
Hence,
5/42 as a decimal is 0.11905