327/300 as a Decimal and Mixed Number

327/300 as a decimal and mixed number expansion provides the detailed information about what is 327/300 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

327/300 as a Decimal
327/300 = 1.09
Hence,
327/300 as a decimal equals to 1.09
where,
327/300 is a given fraction,
The decimal expansion of 327/300 is 1.09

327/300 as a Mixed Number
327/300 = (300 + 27)/300
= 300/300 + 27/300
= 1 + 27/300
= 1 27/300
327/300 = 1 27/300

Hence,
327/300 as a mixed number is 1 ²⁷/₃₀₀
where,
327/300 is a given fraction,
1 ²⁷/₃₀₀ is the mixed number representation of 327/300.

The below work with steps provide the detailed information about how to convert fraction 327/300 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 327/300

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 327/300.

step 2 The numerator is greater than the denominator of the fraction 327/300, so write the given fraction in the expression form in terms of denominator as like the below:
= 327/300
= 300 + 27/300

step 3 Make the above expression as individual fractions:
= 300/300 + 27/300

step 4 Simplify the above expression:
= 1 x 300/300 + 27/300
= 1 + 27/300
= 1 + 9 x 3/100 x 3
= 1 + 9/100
1 + 9/100 can be written as a mixed number 1 ⁹/₁₀₀.


step 5 Find the decimal equivalent for the fractional part 9/100 in the above expression:
= 1 + 0.09
= 1.09
327/300 = 1.09

Hence,
327/300 as a decimal is 1.09
327/300 as a mixed number is 1 ⁹/₁₀₀