271/240 as a Decimal and Mixed Number

271/240 as a decimal and mixed number expansion provides the detailed information about what is 271/240 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

271/240 as a Decimal
271/240 = 1.1292
Hence,
271/240 as a decimal equals to 1.1292
where,
271/240 is a given fraction,
The decimal expansion of 271/240 is 1.1292

271/240 as a Mixed Number
271/240 = (240 + 31)/240
= 240/240 + 31/240
= 1 + 31/240
= 1 31/240
271/240 = 1 31/240

Hence,
271/240 as a mixed number is 1 ³¹/₂₄₀
where,
271/240 is a given fraction,
1 ³¹/₂₄₀ is the mixed number representation of 271/240.

The below work with steps provide the detailed information about how to convert fraction 271/240 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 271/240

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 271/240.

step 2 The numerator is greater than the denominator of the fraction 271/240, so write the given fraction in the expression form in terms of denominator as like the below:
= 271/240
= 240 + 31/240

step 3 Make the above expression as individual fractions:
= 240/240 + 31/240

step 4 Simplify the above expression:
= 1 x 240/240 + 31/240
= 1 + 31/240
1 + 31/240 can be written as a mixed number 1 ³¹/₂₄₀.


step 5 Find the decimal equivalent for the fractional part 31/240 in the above expression:
= 1 + 0.1292
= 1.1292
271/240 = 1.1292

Hence,
271/240 as a decimal is 1.1292
271/240 as a mixed number is 1 ³¹/₂₄₀