267/84 as a Decimal and Mixed Number

267/84 as a decimal and mixed number expansion provides the detailed information about what is 267/84 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

267/84 as a Decimal
267/84 = 3.1786
Hence,
267/84 as a decimal equals to 3.1786
where,
267/84 is a given fraction,
The decimal expansion of 267/84 is 3.1786

267/84 as a Mixed Number
267/84 = (252 + 15)/84
= 252/84 + 15/84
= 3 + 15/84
= 3 15/84
267/84 = 3 15/84

Hence,
267/84 as a mixed number is 3 ¹⁵/₈₄
where,
267/84 is a given fraction,
3 ¹⁵/₈₄ is the mixed number representation of 267/84.

The below work with steps provide the detailed information about how to convert fraction 267/84 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 267/84

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 267/84.

step 2 The numerator is greater than the denominator of the fraction 267/84, so write the given fraction in the expression form in terms of denominator as like the below:
= 267/84
= 252 + 15/84
= (3 x 84) + 15/84

step 3 Make the above expression as individual fractions:
= (3 x 84)/84 + 15/84

step 4 Simplify the above expression:
= 3 x 84/84 + 15/84
= 3 + 15/84
= 3 + 5 x 3/28 x 3
= 3 + 5/28
3 + 5/28 can be written as a mixed number 3 ⁵/₂₈.


step 5 Find the decimal equivalent for the fractional part 5/28 in the above expression:
= 3 + 0.1786
= 3.1786
267/84 = 3.1786

Hence,
267/84 as a decimal is 3.1786
267/84 as a mixed number is 3 ⁵/₂₈