267/264 as a Decimal and Mixed Number

267/264 as a decimal and mixed number expansion provides the detailed information about what is 267/264 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

267/264 as a Decimal
267/264 = 1.0114
Hence,
267/264 as a decimal equals to 1.0114
where,
267/264 is a given fraction,
The decimal expansion of 267/264 is 1.0114

267/264 as a Mixed Number
267/264 = (264 + 3)/264
= 264/264 + 3/264
= 1 + 3/264
= 1 3/264
267/264 = 1 3/264

Hence,
267/264 as a mixed number is 1 ³/₂₆₄
where,
267/264 is a given fraction,
1 ³/₂₆₄ is the mixed number representation of 267/264.

The below work with steps provide the detailed information about how to convert fraction 267/264 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 267/264

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 267/264.

step 2 The numerator is greater than the denominator of the fraction 267/264, so write the given fraction in the expression form in terms of denominator as like the below:
= 267/264
= 264 + 3/264

step 3 Make the above expression as individual fractions:
= 264/264 + 3/264

step 4 Simplify the above expression:
= 1 x 264/264 + 3/264
= 1 + 3/264
= 1 + 1 x 3/88 x 3
= 1 + 1/88
1 + 1/88 can be written as a mixed number 1 ¹/₈₈.


step 5 Find the decimal equivalent for the fractional part 1/88 in the above expression:
= 1 + 0.0114
= 1.0114
267/264 = 1.0114

Hence,
267/264 as a decimal is 1.0114
267/264 as a mixed number is 1 ¹/₈₈