247/8 as a Decimal and Mixed Number

247/8 as a decimal and mixed number expansion provides the detailed information about what is 247/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

247/8 as a Decimal
247/8 = 30.875
Hence,
247/8 as a decimal equals to 30.875
where,
247/8 is a given fraction,
The decimal expansion of 247/8 is 30.875

247/8 as a Mixed Number
247/8 = (240 + 7)/8
= 240/8 + 7/8
= 30 + 7/8
= 30 7/8
247/8 = 30 7/8

Hence,
247/8 as a mixed number is 30 ⁷/₈
where,
247/8 is a given fraction,
30 ⁷/₈ is the mixed number representation of 247/8.

The below work with steps provide the detailed information about how to convert fraction 247/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 247/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 247/8.

step 2 The numerator is greater than the denominator of the fraction 247/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 247/8
= 240 + 7/8
= (30 x 8) + 7/8

step 3 Make the above expression as individual fractions:
= (30 x 8)/8 + 7/8

step 4 Simplify the above expression:
= 30 x 8/8 + 7/8
= 30 + 7/8
30 + 7/8 can be written as a mixed number 30 ⁷/₈.


step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 30 + (7/8 x 125/125)
= 30 + 875/1000

step 6 Simplify the above expression further:
= 30 + 0.875
= 30.875
247/8 = 30.875

Hence,
247/8 as a decimal is 30.875
247/8 as a mixed number is 30 ⁷/₈