267/150 as a Decimal and Mixed Number

267/150 as a decimal and mixed number expansion provides the detailed information about what is 267/150 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

267/150 as a Decimal
267/150 = 1.78
Hence,
267/150 as a decimal equals to 1.78
where,
267/150 is a given fraction,
The decimal expansion of 267/150 is 1.78

267/150 as a Mixed Number
267/150 = (150 + 117)/150
= 150/150 + 117/150
= 1 + 117/150
= 1 117/150
267/150 = 1 117/150

Hence,
267/150 as a mixed number is 1 ¹¹⁷/₁₅₀
where,
267/150 is a given fraction,
1 ¹¹⁷/₁₅₀ is the mixed number representation of 267/150.

The below work with steps provide the detailed information about how to convert fraction 267/150 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 267/150

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 267/150.

step 2 The numerator is greater than the denominator of the fraction 267/150, so write the given fraction in the expression form in terms of denominator as like the below:
= 267/150
= 150 + 117/150

step 3 Make the above expression as individual fractions:
= 150/150 + 117/150

step 4 Simplify the above expression:
= 1 x 150/150 + 117/150
= 1 + 117/150
= 1 + 39 x 3/50 x 3
= 1 + 39/50
1 + 39/50 can be written as a mixed number 1 ³⁹/₅₀.


step 5 Find the decimal equivalent for the fractional part 39/50 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 1 + (39/50 x 2/2)
= 1 + 78/100

step 6 Simplify the above expression further:
= 1 + 0.78
= 1.78
267/150 = 1.78

Hence,
267/150 as a decimal is 1.78
267/150 as a mixed number is 1 ³⁹/₅₀