109/24 as a Decimal and Mixed Number

109/24 as a decimal and mixed number expansion provides the detailed information about what is 109/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

109/24 as a Decimal
109/24 = 4.5417
Hence,
109/24 as a decimal equals to 4.5417
where,
109/24 is a given fraction,
The decimal expansion of 109/24 is 4.5417

109/24 as a Mixed Number
109/24 = (96 + 13)/24
= 96/24 + 13/24
= 4 + 13/24
= 4 13/24
109/24 = 4 13/24

Hence,
109/24 as a mixed number is 4 ¹³/₂₄
where,
109/24 is a given fraction,
4 ¹³/₂₄ is the mixed number representation of 109/24.

The below work with steps provide the detailed information about how to convert fraction 109/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 109/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 109/24.

step 2 The numerator is greater than the denominator of the fraction 109/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 109/24
= 96 + 13/24
= (4 x 24) + 13/24

step 3 Make the above expression as individual fractions:
= (4 x 24)/24 + 13/24

step 4 Simplify the above expression:
= 4 x 24/24 + 13/24
= 4 + 13/24
4 + 13/24 can be written as a mixed number 4 ¹³/₂₄.


step 5 Find the decimal equivalent for the fractional part 13/24 in the above expression:
= 4 + 0.5417
= 4.5417
109/24 = 4.5417

Hence,
109/24 as a decimal is 4.5417
109/24 as a mixed number is 4 ¹³/₂₄