247/26 as a Decimal and Mixed Number

247/26 as a decimal and mixed number expansion provides the detailed information about what is 247/26 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

247/26 as a Decimal
247/26 = 9.5
Hence,
247/26 as a decimal equals to 9.5
where,
247/26 is a given fraction,
The decimal expansion of 247/26 is 9.5

247/26 as a Mixed Number
247/26 = (234 + 13)/26
= 234/26 + 13/26
= 9 + 13/26
= 9 13/26
247/26 = 9 13/26

Hence,
247/26 as a mixed number is 9 ¹³/₂₆
where,
247/26 is a given fraction,
9 ¹³/₂₆ is the mixed number representation of 247/26.

The below work with steps provide the detailed information about how to convert fraction 247/26 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 247/26

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 247/26.

step 2 The numerator is greater than the denominator of the fraction 247/26, so write the given fraction in the expression form in terms of denominator as like the below:
= 247/26
= 234 + 13/26
= (9 x 26) + 13/26

step 3 Make the above expression as individual fractions:
= (9 x 26)/26 + 13/26

step 4 Simplify the above expression:
= 9 x 26/26 + 13/26
= 9 + 13/26
= 9 + 1 x 13/2 x 13
= 9 + 1/2
9 + 1/2 can be written as a mixed number 9 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:
= 9 + (1/2 x 5/5)
= 9 + 5/10

step 6 Simplify the above expression further:
= 9 + 0.5
= 9.5
247/26 = 9.5

Hence,
247/26 as a decimal is 9.5
247/26 as a mixed number is 9 ¹/₂