297/311 as a Decimal

297/311 as a decimal expansion provides the detailed information about what is 297/311 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

297/311 as a Decimal
297/311 = 0.955
Hence,
297/311 as a decimal equals to 0.955
where,
297/311 is a given fraction,
The decimal expansion of 297/311 is 0.955

297/311 as a Mixed Number
The given fraction 297/311 can't be represented as a mixed number since the numerator 297 of the given fraction is smaller than the denominator 311.

The below work with steps provide the detailed information about how to convert fraction 297/311 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 297/311

What to be found:
Find the decimal expansion of fraction 297/311.

step 2 The numerator is smaller than the denominator of the fraction 297/311, 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 297/311.
= 297/311 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 297/311 x 1/10
= 2970/311 x 1/10

step 4 Simplify the above expression further:
= 2970/311 x 1/10
= 2799 + 171/311 x 1/10
= ( 2799/311 + 171/311) x 1/10
= (9 + 171/311 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 171/311 in the above expression:
= (9 + 171/311 ) x 1/10
= (9 + 0.55) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.55) x 1/10
= 9.55 x 1/10
= 9.55/10
297/311= 0.955

Hence,
297/311 as a decimal is 0.955