150/8 as a Decimal and Mixed Number

150/8 as a decimal and mixed number expansion provides the detailed information about what is 150/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

150/8 as a Decimal
150/8 = 18.75
Hence,
150/8 as a decimal equals to 18.75
where,
150/8 is a given fraction,
The decimal expansion of 150/8 is 18.75

150/8 as a Mixed Number
150/8 = (144 + 6)/8
= 144/8 + 6/8
= 18 + 6/8
= 18 6/8
150/8 = 18 6/8

Hence,
150/8 as a mixed number is 18 ⁶/₈
where,
150/8 is a given fraction,
18 ⁶/₈ is the mixed number representation of 150/8.

The below work with steps provide the detailed information about how to convert fraction 150/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 150/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 150/8.

step 2 The numerator is greater than the denominator of the fraction 150/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 150/8
= 144 + 6/8
= (18 x 8) + 6/8

step 3 Make the above expression as individual fractions:
= (18 x 8)/8 + 6/8

step 4 Simplify the above expression:
= 18 x 8/8 + 6/8
= 18 + 6/8
= 18 + 3 x 2/4 x 2
= 18 + 3/4
18 + 3/4 can be written as a mixed number 18 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 18 + (3/4 x 25/25)
= 18 + 75/100

step 6 Simplify the above expression further:
= 18 + 0.75
= 18.75
150/8 = 18.75

Hence,
150/8 as a decimal is 18.75
150/8 as a mixed number is 18 ³/₄