6/67 as a Decimal

6/67 as a decimal expansion provides the detailed information about what is 6/67 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

6/67 as a Decimal
6/67 = 0.0896
Hence,
6/67 as a decimal equals to 0.0896
where,
6/67 is a given fraction,
The decimal expansion of 6/67 is 0.0896

6/67 as a Mixed Number
The given fraction 6/67 can't be represented as a mixed number since the numerator 6 of the given fraction is smaller than the denominator 67.

The below work with steps provide the detailed information about how to convert fraction 6/67 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 6/67

What to be found:
Find the decimal expansion of fraction 6/67.

step 2 The numerator is smaller than the denominator of the fraction 6/67, 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 6/67.
= 6/67 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 6/67 x 1/100
= 600/67 x 1/100

step 4 Simplify the above expression further:
= 600/67 x 1/100
= 536 + 64/67 x 1/100
= ( 536/67 + 64/67) x 1/100
= (8 + 64/67 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 64/67 in the above expression:
= (8 + 64/67 ) x 1/100
= (8 + 0.955) x 1/100

step 6 Simplify the above expression further:
= (8 + 0.955) x 1/100
= 8.955 x 1/100
= 8.955/100
6/67= 0.08955

Hence,
6/67 as a decimal is 0.08955