255/32 as a Decimal and Mixed Number

255/32 as a decimal and mixed number expansion provides the detailed information about what is 255/32 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

255/32 as a Decimal
255/32 = 7.9688
Hence,
255/32 as a decimal equals to 7.9688
where,
255/32 is a given fraction,
The decimal expansion of 255/32 is 7.9688

255/32 as a Mixed Number
255/32 = (224 + 31)/32
= 224/32 + 31/32
= 7 + 31/32
= 7 31/32
255/32 = 7 31/32

Hence,
255/32 as a mixed number is 7 ³¹/₃₂
where,
255/32 is a given fraction,
7 ³¹/₃₂ is the mixed number representation of 255/32.

The below work with steps provide the detailed information about how to convert fraction 255/32 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 255/32

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 255/32.

step 2 The numerator is greater than the denominator of the fraction 255/32, so write the given fraction in the expression form in terms of denominator as like the below:
= 255/32
= 224 + 31/32
= (7 x 32) + 31/32

step 3 Make the above expression as individual fractions:
= (7 x 32)/32 + 31/32

step 4 Simplify the above expression:
= 7 x 32/32 + 31/32
= 7 + 31/32
7 + 31/32 can be written as a mixed number 7 ³¹/₃₂.


step 5 Find the decimal equivalent for the fractional part 31/32 in the above expression:
Multiply both numerator and denominator by 3125 to make the denominator as powers of 10:
= 7 + (31/32 x 3125/3125)
= 7 + 96875/100000

step 6 Simplify the above expression further:
= 7 + 0.96875
= 7.96875
255/32 = 7.96875

Hence,
255/32 as a decimal is 7.96875
255/32 as a mixed number is 7 ³¹/₃₂