311/321 as a Decimal

311/321 as a decimal expansion provides the detailed information about what is 311/321 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

311/321 as a Decimal
311/321 = 0.9688
Hence,
311/321 as a decimal equals to 0.9688
where,
311/321 is a given fraction,
The decimal expansion of 311/321 is 0.9688

311/321 as a Mixed Number
The given fraction 311/321 can't be represented as a mixed number since the numerator 311 of the given fraction is smaller than the denominator 321.

The below work with steps provide the detailed information about how to convert fraction 311/321 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 311/321

What to be found:
Find the decimal expansion of fraction 311/321.

step 2 The numerator is smaller than the denominator of the fraction 311/321, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 311/321.
= 311/321 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 311/321 x 1/10
= 3110/321 x 1/10

step 4 Simplify the above expression further:
= 3110/321 x 1/10
= 2889 + 221/321 x 1/10
= ( 2889/321 + 221/321) x 1/10
= (9 + 221/321 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 221/321 in the above expression:
= (9 + 221/321 ) x 1/10
= (9 + 0.688) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.688) x 1/10
= 9.688 x 1/10
= 9.688/10
311/321= 0.9688

Hence,
311/321 as a decimal is 0.9688