42/199 as a Decimal

42/199 as a decimal expansion provides the detailed information about what is 42/199 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

42/199 as a Decimal
42/199 = 0.2111
Hence,
42/199 as a decimal equals to 0.2111
where,
42/199 is a given fraction,
The decimal expansion of 42/199 is 0.2111

42/199 as a Mixed Number
The given fraction 42/199 can't be represented as a mixed number since the numerator 42 of the given fraction is smaller than the denominator 199.

The below work with steps provide the detailed information about how to convert fraction 42/199 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 42/199

What to be found:
Find the decimal expansion of fraction 42/199.

step 2 The numerator is smaller than the denominator of the fraction 42/199, 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 42/199.
= 42/199 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 42/199 x 1/100
= 4200/199 x 1/100

step 4 Simplify the above expression further:
= 4200/199 x 1/100
= 4179 + 21/199 x 1/100
= ( 4179/199 + 21/199) x 1/100
= (21 + 21/199 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 21/199 in the above expression:
= (21 + 21/199 ) x 1/100
= (21 + 0.106) x 1/100

step 6 Simplify the above expression further:
= (21 + 0.106) x 1/100
= 21.106 x 1/100
= 21.106/100
42/199= 0.21106

Hence,
42/199 as a decimal is 0.21106