117/26 as a Decimal and Mixed Number

117/26 as a decimal and mixed number expansion provides the detailed information about what is 117/26 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

117/26 as a Decimal
117/26 = 4.5
Hence,
117/26 as a decimal equals to 4.5
where,
117/26 is a given fraction,
The decimal expansion of 117/26 is 4.5

117/26 as a Mixed Number
117/26 = (104 + 13)/26
= 104/26 + 13/26
= 4 + 13/26
= 4 13/26
117/26 = 4 13/26

Hence,
117/26 as a mixed number is 4 ¹³/₂₆
where,
117/26 is a given fraction,
4 ¹³/₂₆ is the mixed number representation of 117/26.

The below work with steps provide the detailed information about how to convert fraction 117/26 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 117/26

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 117/26.

step 2 The numerator is greater than the denominator of the fraction 117/26, so write the given fraction in the expression form in terms of denominator as like the below:
= 117/26
= 104 + 13/26
= (4 x 26) + 13/26

step 3 Make the above expression as individual fractions:
= (4 x 26)/26 + 13/26

step 4 Simplify the above expression:
= 4 x 26/26 + 13/26
= 4 + 13/26
= 4 + 1 x 13/2 x 13
= 4 + 1/2
4 + 1/2 can be written as a mixed number 4 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 4 + (1/2 x 5/5)
= 4 + 5/10

step 6 Simplify the above expression further:
= 4 + 0.5
= 4.5
117/26 = 4.5

Hence,
117/26 as a decimal is 4.5
117/26 as a mixed number is 4 ¹/₂