267/42 as a Decimal and Mixed Number

267/42 as a decimal and mixed number expansion provides the detailed information about what is 267/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

267/42 as a Decimal
267/42 = 6.3571
Hence,
267/42 as a decimal equals to 6.3571
where,
267/42 is a given fraction,
The decimal expansion of 267/42 is 6.3571

267/42 as a Mixed Number
267/42 = (252 + 15)/42
= 252/42 + 15/42
= 6 + 15/42
= 6 15/42
267/42 = 6 15/42

Hence,
267/42 as a mixed number is 6 ¹⁵/₄₂
where,
267/42 is a given fraction,
6 ¹⁵/₄₂ is the mixed number representation of 267/42.

The below work with steps provide the detailed information about how to convert fraction 267/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 267/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 267/42.

step 2 The numerator is greater than the denominator of the fraction 267/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 267/42
= 252 + 15/42
= (6 x 42) + 15/42

step 3 Make the above expression as individual fractions:
= (6 x 42)/42 + 15/42

step 4 Simplify the above expression:
= 6 x 42/42 + 15/42
= 6 + 15/42
= 6 + 5 x 3/14 x 3
= 6 + 5/14
6 + 5/14 can be written as a mixed number 6 ⁵/₁₄.


step 5 Find the decimal equivalent for the fractional part 5/14 in the above expression:
= 6 + 0.3571
= 6.3571
267/42 = 6.3571

Hence,
267/42 as a decimal is 6.3571
267/42 as a mixed number is 6 ⁵/₁₄