231/150 as a Decimal and Mixed Number

231/150 as a decimal and mixed number expansion provides the detailed information about what is 231/150 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

231/150 as a Decimal
231/150 = 1.54
Hence,
231/150 as a decimal equals to 1.54
where,
231/150 is a given fraction,
The decimal expansion of 231/150 is 1.54

231/150 as a Mixed Number
231/150 = (150 + 81)/150
= 150/150 + 81/150
= 1 + 81/150
= 1 81/150
231/150 = 1 81/150

Hence,
231/150 as a mixed number is 1 ⁸¹/₁₅₀
where,
231/150 is a given fraction,
1 ⁸¹/₁₅₀ is the mixed number representation of 231/150.

The below work with steps provide the detailed information about how to convert fraction 231/150 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 231/150

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 231/150.

step 2 The numerator is greater than the denominator of the fraction 231/150, so write the given fraction in the expression form in terms of denominator as like the below:
= 231/150
= 150 + 81/150

step 3 Make the above expression as individual fractions:
= 150/150 + 81/150

step 4 Simplify the above expression:
= 1 x 150/150 + 81/150
= 1 + 81/150
= 1 + 27 x 3/50 x 3
= 1 + 27/50
1 + 27/50 can be written as a mixed number 1 ²⁷/₅₀.


step 5 Find the decimal equivalent for the fractional part 27/50 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 1 + (27/50 x 2/2)
= 1 + 54/100

step 6 Simplify the above expression further:
= 1 + 0.54
= 1.54
231/150 = 1.54

Hence,
231/150 as a decimal is 1.54
231/150 as a mixed number is 1 ²⁷/₅₀