313/48 as a Decimal and Mixed Number

313/48 as a decimal and mixed number expansion provides the detailed information about what is 313/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

313/48 as a Decimal
313/48 = 6.5208
Hence,
313/48 as a decimal equals to 6.5208
where,
313/48 is a given fraction,
The decimal expansion of 313/48 is 6.5208

313/48 as a Mixed Number
313/48 = (288 + 25)/48
= 288/48 + 25/48
= 6 + 25/48
= 6 25/48
313/48 = 6 25/48

Hence,
313/48 as a mixed number is 6 ²⁵/₄₈
where,
313/48 is a given fraction,
6 ²⁵/₄₈ is the mixed number representation of 313/48.

The below work with steps provide the detailed information about how to convert fraction 313/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 313/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 313/48.

step 2 The numerator is greater than the denominator of the fraction 313/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 313/48
= 288 + 25/48
= (6 x 48) + 25/48

step 3 Make the above expression as individual fractions:
= (6 x 48)/48 + 25/48

step 4 Simplify the above expression:
= 6 x 48/48 + 25/48
= 6 + 25/48
6 + 25/48 can be written as a mixed number 6 ²⁵/₄₈.


step 5 Find the decimal equivalent for the fractional part 25/48 in the above expression:
= 6 + 0.5208
= 6.5208
313/48 = 6.5208

Hence,
313/48 as a decimal is 6.5208
313/48 as a mixed number is 6 ²⁵/₄₈