267/126 as a Decimal and Mixed Number

267/126 as a decimal and mixed number expansion provides the detailed information about what is 267/126 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

267/126 as a Decimal
267/126 = 2.119
Hence,
267/126 as a decimal equals to 2.119
where,
267/126 is a given fraction,
The decimal expansion of 267/126 is 2.119

267/126 as a Mixed Number
267/126 = (252 + 15)/126
= 252/126 + 15/126
= 2 + 15/126
= 2 15/126
267/126 = 2 15/126

Hence,
267/126 as a mixed number is 2 ¹⁵/₁₂₆
where,
267/126 is a given fraction,
2 ¹⁵/₁₂₆ is the mixed number representation of 267/126.

The below work with steps provide the detailed information about how to convert fraction 267/126 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 267/126

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 267/126.

step 2 The numerator is greater than the denominator of the fraction 267/126, so write the given fraction in the expression form in terms of denominator as like the below:
= 267/126
= 252 + 15/126
= (2 x 126) + 15/126

step 3 Make the above expression as individual fractions:
= (2 x 126)/126 + 15/126

step 4 Simplify the above expression:
= 2 x 126/126 + 15/126
= 2 + 15/126
= 2 + 5 x 3/42 x 3
= 2 + 5/42
2 + 5/42 can be written as a mixed number 2 ⁵/₄₂.


step 5 Find the decimal equivalent for the fractional part 5/42 in the above expression:
= 2 + 0.119
= 2.119
267/126 = 2.119

Hence,
267/126 as a decimal is 2.119
267/126 as a mixed number is 2 ⁵/₄₂