105/24 as a Decimal and Mixed Number

105/24 as a decimal and mixed number expansion provides the detailed information about what is 105/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

105/24 as a Decimal
105/24 = 4.375
Hence,
105/24 as a decimal equals to 4.375
where,
105/24 is a given fraction,
The decimal expansion of 105/24 is 4.375

105/24 as a Mixed Number
105/24 = (96 + 9)/24
= 96/24 + 9/24
= 4 + 9/24
= 4 9/24
105/24 = 4 9/24

Hence,
105/24 as a mixed number is 4 ⁹/₂₄
where,
105/24 is a given fraction,
4 ⁹/₂₄ is the mixed number representation of 105/24.

The below work with steps provide the detailed information about how to convert fraction 105/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 105/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 105/24.

step 2 The numerator is greater than the denominator of the fraction 105/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 105/24
= 96 + 9/24
= (4 x 24) + 9/24

step 3 Make the above expression as individual fractions:
= (4 x 24)/24 + 9/24

step 4 Simplify the above expression:
= 4 x 24/24 + 9/24
= 4 + 9/24
= 4 + 3 x 3/8 x 3
= 4 + 3/8
4 + 3/8 can be written as a mixed number 4 ³/₈.


step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 4 + (3/8 x 125/125)
= 4 + 375/1000

step 6 Simplify the above expression further:
= 4 + 0.375
= 4.375
105/24 = 4.375

Hence,
105/24 as a decimal is 4.375
105/24 as a mixed number is 4 ³/₈