317/338 as a decimal expansion provides the detailed information about what is 317/338 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
317/338 as a Decimal
317/338 = 0.9379
Hence,
317/338 as a decimal equals to 0.9379
where,
317/338 is a given fraction,
The decimal expansion of 317/338 is 0.9379
317/338 as a Mixed Number
The given fraction 317/338 can't be represented as a mixed number since the numerator 317 of the given fraction is smaller than the denominator 338.
The below work with steps provide the detailed information about how to convert fraction 317/338 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 317/338
What to be found:
Find the decimal expansion of fraction 317/338.
step 2 The numerator is smaller than the denominator of the fraction 317/338, 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 317/338.
= 317/338 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 317/338 x 1/10
= 3170/338 x 1/10
step 4 Simplify the above expression further:
= 3170/338 x 1/10
= 3042 + 128/338 x 1/10
= ( 3042/338 + 128/338) x 1/10
= (9 + 128/338 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 128/338 in the above expression:
= (9 + 128/338 ) x 1/10
= (9 + 0.379) x 1/10
step 6 Simplify the above expression further:
= (9 + 0.379) x 1/10
= 9.379 x 1/10
= 9.379/10
317/338= 0.9379
Hence,
317/338 as a decimal is 0.9379