267/231 as a Decimal and Mixed Number

267/231 as a decimal and mixed number expansion provides the detailed information about what is 267/231 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

267/231 as a Decimal
267/231 = 1.1558
Hence,
267/231 as a decimal equals to 1.1558
where,
267/231 is a given fraction,
The decimal expansion of 267/231 is 1.1558

267/231 as a Mixed Number
267/231 = (231 + 36)/231
= 231/231 + 36/231
= 1 + 36/231
= 1 36/231
267/231 = 1 36/231

Hence,
267/231 as a mixed number is 1 ³⁶/₂₃₁
where,
267/231 is a given fraction,
1 ³⁶/₂₃₁ is the mixed number representation of 267/231.

The below work with steps provide the detailed information about how to convert fraction 267/231 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 267/231

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 267/231.

step 2 The numerator is greater than the denominator of the fraction 267/231, so write the given fraction in the expression form in terms of denominator as like the below:
= 267/231
= 231 + 36/231

step 3 Make the above expression as individual fractions:
= 231/231 + 36/231

step 4 Simplify the above expression:
= 1 x 231/231 + 36/231
= 1 + 36/231
= 1 + 12 x 3/77 x 3
= 1 + 12/77
1 + 12/77 can be written as a mixed number 1 ¹²/₇₇.


step 5 Find the decimal equivalent for the fractional part 12/77 in the above expression:
= 1 + 0.1558
= 1.1558
267/231 = 1.1558

Hence,
267/231 as a decimal is 1.1558
267/231 as a mixed number is 1 ¹²/₇₇