327/218 as a Decimal and Mixed Number

327/218 as a decimal and mixed number expansion provides the detailed information about what is 327/218 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

327/218 as a Decimal
327/218 = 1.5
Hence,
327/218 as a decimal equals to 1.5
where,
327/218 is a given fraction,
The decimal expansion of 327/218 is 1.5

327/218 as a Mixed Number
327/218 = (218 + 109)/218
= 218/218 + 109/218
= 1 + 109/218
= 1 109/218
327/218 = 1 109/218

Hence,
327/218 as a mixed number is 1 ¹⁰⁹/₂₁₈
where,
327/218 is a given fraction,
1 ¹⁰⁹/₂₁₈ is the mixed number representation of 327/218.

The below work with steps provide the detailed information about how to convert fraction 327/218 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 327/218

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 327/218.

step 2 The numerator is greater than the denominator of the fraction 327/218, so write the given fraction in the expression form in terms of denominator as like the below:
= 327/218
= 218 + 109/218

step 3 Make the above expression as individual fractions:
= 218/218 + 109/218

step 4 Simplify the above expression:
= 1 x 218/218 + 109/218
= 1 + 109/218
= 1 + 1 x 109/2 x 109
= 1 + 1/2
1 + 1/2 can be written as a mixed number 1 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 1 + (1/2 x 5/5)
= 1 + 5/10

step 6 Simplify the above expression further:
= 1 + 0.5
= 1.5
327/218 = 1.5

Hence,
327/218 as a decimal is 1.5
327/218 as a mixed number is 1 ¹/₂