327/320 as a Decimal and Mixed Number

327/320 as a decimal and mixed number expansion provides the detailed information about what is 327/320 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

327/320 as a Decimal
327/320 = 1.0219
Hence,
327/320 as a decimal equals to 1.0219
where,
327/320 is a given fraction,
The decimal expansion of 327/320 is 1.0219

327/320 as a Mixed Number
327/320 = (320 + 7)/320
= 320/320 + 7/320
= 1 + 7/320
= 1 7/320
327/320 = 1 7/320

Hence,
327/320 as a mixed number is 1 ⁷/₃₂₀
where,
327/320 is a given fraction,
1 ⁷/₃₂₀ is the mixed number representation of 327/320.

The below work with steps provide the detailed information about how to convert fraction 327/320 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 327/320

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 327/320.

step 2 The numerator is greater than the denominator of the fraction 327/320, so write the given fraction in the expression form in terms of denominator as like the below:
= 327/320
= 320 + 7/320

step 3 Make the above expression as individual fractions:
= 320/320 + 7/320

step 4 Simplify the above expression:
= 1 x 320/320 + 7/320
= 1 + 7/320
1 + 7/320 can be written as a mixed number 1 ⁷/₃₂₀.


step 5 Find the decimal equivalent for the fractional part 7/320 in the above expression:
= 1 + 0.0219
= 1.0219
327/320 = 1.0219

Hence,
327/320 as a decimal is 1.0219
327/320 as a mixed number is 1 ⁷/₃₂₀