318/57 as a decimal and mixed number expansion provides the detailed information about what is 318/57 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
318/57 as a Decimal
318/57 = 5.5789
Hence,
318/57 as a decimal equals to 5.5789
where,
318/57 is a given fraction,
The decimal expansion of 318/57 is 5.5789
318/57 as a Mixed Number
318/57 = (285 + 33)/57
= 285/57 + 33/57
= 5 + 33/57
= 5 33/57
318/57 = 5 33/57
Hence,
318/57 as a mixed number is 5 33/57
where,
318/57 is a given fraction,
5 33/57 is the mixed number representation of 318/57.
The below work with steps provide the detailed information about how to convert fraction 318/57 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 318/57
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 318/57.
step 2 The numerator is greater than the denominator of the fraction 318/57, so write the given fraction in the expression form in terms of denominator as like the below:
= 318/57
= 285 + 33/57
= (5 x 57) + 33/57
step 3 Make the above expression as individual fractions:
= (5 x 57)/57 + 33/57
step 4 Simplify the above expression:
= 5 x 57/57 + 33/57
= 5 + 33/57
= 5 + 11 x 3/19 x 3
= 5 + 11/19
5 + 11/19 can be written as a mixed number 5 11/19.
step 5 Find the decimal equivalent for the fractional part 11/19 in the above expression:
= 5 + 0.5789
= 5.5789
318/57 = 5.5789
Hence,
318/57 as a decimal is 5.5789
318/57 as a mixed number is 5 11/19