267/144 as a Decimal and Mixed Number

267/144 as a decimal and mixed number expansion provides the detailed information about what is 267/144 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

267/144 as a Decimal
267/144 = 1.8542
Hence,
267/144 as a decimal equals to 1.8542
where,
267/144 is a given fraction,
The decimal expansion of 267/144 is 1.8542

267/144 as a Mixed Number
267/144 = (144 + 123)/144
= 144/144 + 123/144
= 1 + 123/144
= 1 123/144
267/144 = 1 123/144

Hence,
267/144 as a mixed number is 1 ¹²³/₁₄₄
where,
267/144 is a given fraction,
1 ¹²³/₁₄₄ is the mixed number representation of 267/144.

The below work with steps provide the detailed information about how to convert fraction 267/144 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 267/144

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 267/144.

step 2 The numerator is greater than the denominator of the fraction 267/144, so write the given fraction in the expression form in terms of denominator as like the below:
= 267/144
= 144 + 123/144

step 3 Make the above expression as individual fractions:
= 144/144 + 123/144

step 4 Simplify the above expression:
= 1 x 144/144 + 123/144
= 1 + 123/144
= 1 + 41 x 3/48 x 3
= 1 + 41/48
1 + 41/48 can be written as a mixed number 1 ⁴¹/₄₈.


step 5 Find the decimal equivalent for the fractional part 41/48 in the above expression:
= 1 + 0.8542
= 1.8542
267/144 = 1.8542

Hence,
267/144 as a decimal is 1.8542
267/144 as a mixed number is 1 ⁴¹/₄₈