273/27 as a Decimal and Mixed Number

273/27 as a decimal and mixed number expansion provides the detailed information about what is 273/27 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

273/27 as a Decimal
273/27 = 10.1111
Hence,
273/27 as a decimal equals to 10.1111
where,
273/27 is a given fraction,
The decimal expansion of 273/27 is 10.1111

273/27 as a Mixed Number
273/27 = (270 + 3)/27
= 270/27 + 3/27
= 10 + 3/27
= 10 3/27
273/27 = 10 3/27

Hence,
273/27 as a mixed number is 10 ³/₂₇
where,
273/27 is a given fraction,
10 ³/₂₇ is the mixed number representation of 273/27.

The below work with steps provide the detailed information about how to convert fraction 273/27 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 273/27

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 273/27.

step 2 The numerator is greater than the denominator of the fraction 273/27, so write the given fraction in the expression form in terms of denominator as like the below:
= 273/27
= 270 + 3/27
= (10 x 27) + 3/27

step 3 Make the above expression as individual fractions:
= (10 x 27)/27 + 3/27

step 4 Simplify the above expression:
= 10 x 27/27 + 3/27
= 10 + 3/27
= 10 + 1 x 3/9 x 3
= 10 + 1/9
10 + 1/9 can be written as a mixed number 10 ¹/₉.


step 5 Find the decimal equivalent for the fractional part 1/9 in the above expression:
= 10 + 0.1111
= 10.1111
273/27 = 10.1111

Hence,
273/27 as a decimal is 10.1111
273/27 as a mixed number is 10 ¹/₉