317/321 as a decimal expansion provides the detailed information about what is 317/321 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
317/321 as a Decimal
317/321 = 0.9875
Hence,
317/321 as a decimal equals to 0.9875
where,
317/321 is a given fraction,
The decimal expansion of 317/321 is 0.9875
317/321 as a Mixed Number
The given fraction 317/321 can't be represented as a mixed number since the numerator 317 of the given fraction is smaller than the denominator 321.
The below work with steps provide the detailed information about how to convert fraction 317/321 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 317/321
What to be found:
Find the decimal expansion of fraction 317/321.
step 2 The numerator is smaller than the denominator of the fraction 317/321, 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 317/321.
= 317/321 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 317/321 x 1/10
= 3170/321 x 1/10
step 4 Simplify the above expression further:
= 3170/321 x 1/10
= 2889 + 281/321 x 1/10
= ( 2889/321 + 281/321) x 1/10
= (9 + 281/321 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 281/321 in the above expression:
= (9 + 281/321 ) x 1/10
= (9 + 0.875) x 1/10
step 6 Simplify the above expression further:
= (9 + 0.875) x 1/10
= 9.875 x 1/10
= 9.875/10
317/321= 0.9875
Hence,
317/321 as a decimal is 0.9875