150/24 as a Decimal and Mixed Number

150/24 as a decimal and mixed number expansion provides the detailed information about what is 150/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

150/24 as a Decimal
150/24 = 6.25
Hence,
150/24 as a decimal equals to 6.25
where,
150/24 is a given fraction,
The decimal expansion of 150/24 is 6.25

150/24 as a Mixed Number
150/24 = (144 + 6)/24
= 144/24 + 6/24
= 6 + 6/24
= 6 6/24
150/24 = 6 6/24

Hence,
150/24 as a mixed number is 6 ⁶/₂₄
where,
150/24 is a given fraction,
6 ⁶/₂₄ is the mixed number representation of 150/24.

The below work with steps provide the detailed information about how to convert fraction 150/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 150/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 150/24.

step 2 The numerator is greater than the denominator of the fraction 150/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 150/24
= 144 + 6/24
= (6 x 24) + 6/24

step 3 Make the above expression as individual fractions:
= (6 x 24)/24 + 6/24

step 4 Simplify the above expression:
= 6 x 24/24 + 6/24
= 6 + 6/24
= 6 + 1 x 6/4 x 6
= 6 + 1/4
6 + 1/4 can be written as a mixed number 6 ¹/₄.


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 6 + (1/4 x 25/25)
= 6 + 25/100

step 6 Simplify the above expression further:
= 6 + 0.25
= 6.25
150/24 = 6.25

Hence,
150/24 as a decimal is 6.25
150/24 as a mixed number is 6 ¹/₄