63/8 as a Decimal and Mixed Number

63/8 as a decimal and mixed number expansion provides the detailed information about what is 63/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

63/8 as a Decimal
63/8 = 7.875
Hence,
63/8 as a decimal equals to 7.875
where,
63/8 is a given fraction,
The decimal expansion of 63/8 is 7.875

63/8 as a Mixed Number
63/8 = (56 + 7)/8
= 56/8 + 7/8
= 7 + 7/8
= 7 7/8
63/8 = 7 7/8

Hence,
63/8 as a mixed number is 7 ⁷/₈
where,
63/8 is a given fraction,
7 ⁷/₈ is the mixed number representation of 63/8.

The below work with steps provide the detailed information about how to convert fraction 63/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 63/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 63/8.

step 2 The numerator is greater than the denominator of the fraction 63/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 63/8
= 56 + 7/8
= (7 x 8) + 7/8

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

step 4 Simplify the above expression:
= 7 x 8/8 + 7/8
= 7 + 7/8
7 + 7/8 can be written as a mixed number 7 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:
= 7 + (7/8 x 125/125)
= 7 + 875/1000

step 6 Simplify the above expression further:
= 7 + 0.875
= 7.875
63/8 = 7.875

Hence,
63/8 as a decimal is 7.875
63/8 as a mixed number is 7 ⁷/₈