327/46 as a Decimal and Mixed Number

327/46 as a decimal and mixed number expansion provides the detailed information about what is 327/46 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

327/46 as a Decimal
327/46 = 7.1087
Hence,
327/46 as a decimal equals to 7.1087
where,
327/46 is a given fraction,
The decimal expansion of 327/46 is 7.1087

327/46 as a Mixed Number
327/46 = (322 + 5)/46
= 322/46 + 5/46
= 7 + 5/46
= 7 5/46
327/46 = 7 5/46

Hence,
327/46 as a mixed number is 7 ⁵/₄₆
where,
327/46 is a given fraction,
7 ⁵/₄₆ is the mixed number representation of 327/46.

The below work with steps provide the detailed information about how to convert fraction 327/46 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 327/46

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 327/46.

step 2 The numerator is greater than the denominator of the fraction 327/46, so write the given fraction in the expression form in terms of denominator as like the below:
= 327/46
= 322 + 5/46
= (7 x 46) + 5/46

step 3 Make the above expression as individual fractions:
= (7 x 46)/46 + 5/46

step 4 Simplify the above expression:
= 7 x 46/46 + 5/46
= 7 + 5/46
7 + 5/46 can be written as a mixed number 7 ⁵/₄₆.


step 5 Find the decimal equivalent for the fractional part 5/46 in the above expression:
= 7 + 0.1087
= 7.1087
327/46 = 7.1087

Hence,
327/46 as a decimal is 7.1087
327/46 as a mixed number is 7 ⁵/₄₆