67/199 as a Decimal

67/199 as a decimal expansion provides the detailed information about what is 67/199 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

67/199 as a Decimal
67/199 = 0.3367
Hence,
67/199 as a decimal equals to 0.3367
where,
67/199 is a given fraction,
The decimal expansion of 67/199 is 0.3367

67/199 as a Mixed Number
The given fraction 67/199 can't be represented as a mixed number since the numerator 67 of the given fraction is smaller than the denominator 199.

The below work with steps provide the detailed information about how to convert fraction 67/199 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 67/199

What to be found:
Find the decimal expansion of fraction 67/199.

step 2 The numerator is smaller than the denominator of the fraction 67/199, 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 67/199.
= 67/199 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 67/199 x 1/100
= 6700/199 x 1/100

step 4 Simplify the above expression further:
= 6700/199 x 1/100
= 6567 + 133/199 x 1/100
= ( 6567/199 + 133/199) x 1/100
= (33 + 133/199 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 133/199 in the above expression:
= (33 + 133/199 ) x 1/100
= (33 + 0.668) x 1/100

step 6 Simplify the above expression further:
= (33 + 0.668) x 1/100
= 33.668 x 1/100
= 33.668/100
67/199= 0.33668

Hence,
67/199 as a decimal is 0.33668