75/24 as a Decimal and Mixed Number

75/24 as a decimal and mixed number expansion provides the detailed information about what is 75/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

75/24 as a Decimal
75/24 = 3.125
Hence,
75/24 as a decimal equals to 3.125
where,
75/24 is a given fraction,
The decimal expansion of 75/24 is 3.125

75/24 as a Mixed Number
75/24 = (72 + 3)/24
= 72/24 + 3/24
= 3 + 3/24
= 3 3/24
75/24 = 3 3/24

Hence,
75/24 as a mixed number is 3 ³/₂₄
where,
75/24 is a given fraction,
3 ³/₂₄ is the mixed number representation of 75/24.

The below work with steps provide the detailed information about how to convert fraction 75/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 75/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 75/24.

step 2 The numerator is greater than the denominator of the fraction 75/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 75/24
= 72 + 3/24
= (3 x 24) + 3/24

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

step 4 Simplify the above expression:
= 3 x 24/24 + 3/24
= 3 + 3/24
= 3 + 1 x 3/8 x 3
= 3 + 1/8
3 + 1/8 can be written as a mixed number 3 ¹/₈.


step 5 Find the decimal equivalent for the fractional part 1/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 3 + (1/8 x 125/125)
= 3 + 125/1000

step 6 Simplify the above expression further:
= 3 + 0.125
= 3.125
75/24 = 3.125

Hence,
75/24 as a decimal is 3.125
75/24 as a mixed number is 3 ¹/₈