42/133 as a Decimal

42/133 as a decimal expansion provides the detailed information about what is 42/133 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

42/133 as a Decimal
42/133 = 0.3158
Hence,
42/133 as a decimal equals to 0.3158
where,
42/133 is a given fraction,
The decimal expansion of 42/133 is 0.3158

42/133 as a Mixed Number
The given fraction 42/133 can't be represented as a mixed number since the numerator 42 of the given fraction is smaller than the denominator 133.

The below work with steps provide the detailed information about how to convert fraction 42/133 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 42/133

What to be found:
Find the decimal expansion of fraction 42/133.

step 2 The numerator is smaller than the denominator of the fraction 42/133, 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 42/133.
= 42/133 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 42/133 x 1/100
= 4200/133 x 1/100

step 4 Simplify the above expression further:
= 4200/133 x 1/100
= 4123 + 77/133 x 1/100
= ( 4123/133 + 77/133) x 1/100
= (31 + 77/133 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 77/133 in the above expression:
= (31 + 77/133 ) x 1/100
= (31 + 0.579) x 1/100

step 6 Simplify the above expression further:
= (31 + 0.579) x 1/100
= 31.579 x 1/100
= 31.579/100
42/133= 0.31579

Hence,
42/133 as a decimal is 0.31579