327/48 as a Decimal and Mixed Number

327/48 as a decimal and mixed number expansion provides the detailed information about what is 327/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

327/48 as a Decimal
327/48 = 6.8125
Hence,
327/48 as a decimal equals to 6.8125
where,
327/48 is a given fraction,
The decimal expansion of 327/48 is 6.8125

327/48 as a Mixed Number
327/48 = (288 + 39)/48
= 288/48 + 39/48
= 6 + 39/48
= 6 39/48
327/48 = 6 39/48

Hence,
327/48 as a mixed number is 6 ³⁹/₄₈
where,
327/48 is a given fraction,
6 ³⁹/₄₈ is the mixed number representation of 327/48.

The below work with steps provide the detailed information about how to convert fraction 327/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 327/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 327/48.

step 2 The numerator is greater than the denominator of the fraction 327/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 327/48
= 288 + 39/48
= (6 x 48) + 39/48

step 3 Make the above expression as individual fractions:
= (6 x 48)/48 + 39/48

step 4 Simplify the above expression:
= 6 x 48/48 + 39/48
= 6 + 39/48
= 6 + 13 x 3/16 x 3
= 6 + 13/16
6 + 13/16 can be written as a mixed number 6 ¹³/₁₆.


step 5 Find the decimal equivalent for the fractional part 13/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 6 + (13/16 x 625/625)
= 6 + 8125/10000

step 6 Simplify the above expression further:
= 6 + 0.8125
= 6.8125
327/48 = 6.8125

Hence,
327/48 as a decimal is 6.8125
327/48 as a mixed number is 6 ¹³/₁₆