327/42 as a Decimal and Mixed Number

327/42 as a decimal and mixed number expansion provides the detailed information about what is 327/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

327/42 as a Decimal
327/42 = 7.7857
Hence,
327/42 as a decimal equals to 7.7857
where,
327/42 is a given fraction,
The decimal expansion of 327/42 is 7.7857

327/42 as a Mixed Number
327/42 = (294 + 33)/42
= 294/42 + 33/42
= 7 + 33/42
= 7 33/42
327/42 = 7 33/42

Hence,
327/42 as a mixed number is 7 ³³/₄₂
where,
327/42 is a given fraction,
7 ³³/₄₂ is the mixed number representation of 327/42.

The below work with steps provide the detailed information about how to convert fraction 327/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 327/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 327/42.

step 2 The numerator is greater than the denominator of the fraction 327/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 327/42
= 294 + 33/42
= (7 x 42) + 33/42

step 3 Make the above expression as individual fractions:
= (7 x 42)/42 + 33/42

step 4 Simplify the above expression:
= 7 x 42/42 + 33/42
= 7 + 33/42
= 7 + 11 x 3/14 x 3
= 7 + 11/14
7 + 11/14 can be written as a mixed number 7 ¹¹/₁₄.


step 5 Find the decimal equivalent for the fractional part 11/14 in the above expression:
= 7 + 0.7857
= 7.7857
327/42 = 7.7857

Hence,
327/42 as a decimal is 7.7857
327/42 as a mixed number is 7 ¹¹/₁₄