312/32 as a Decimal and Mixed Number

312/32 as a decimal and mixed number expansion provides the detailed information about what is 312/32 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

312/32 as a Decimal
312/32 = 9.75
Hence,
312/32 as a decimal equals to 9.75
where,
312/32 is a given fraction,
The decimal expansion of 312/32 is 9.75

312/32 as a Mixed Number
312/32 = (288 + 24)/32
= 288/32 + 24/32
= 9 + 24/32
= 9 24/32
312/32 = 9 24/32

Hence,
312/32 as a mixed number is 9 ²⁴/₃₂
where,
312/32 is a given fraction,
9 ²⁴/₃₂ is the mixed number representation of 312/32.

The below work with steps provide the detailed information about how to convert fraction 312/32 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 312/32

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 312/32.

step 2 The numerator is greater than the denominator of the fraction 312/32, so write the given fraction in the expression form in terms of denominator as like the below:
= 312/32
= 288 + 24/32
= (9 x 32) + 24/32

step 3 Make the above expression as individual fractions:
= (9 x 32)/32 + 24/32

step 4 Simplify the above expression:
= 9 x 32/32 + 24/32
= 9 + 24/32
= 9 + 3 x 8/4 x 8
= 9 + 3/4
9 + 3/4 can be written as a mixed number 9 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 9 + (3/4 x 25/25)
= 9 + 75/100

step 6 Simplify the above expression further:
= 9 + 0.75
= 9.75
312/32 = 9.75

Hence,
312/32 as a decimal is 9.75
312/32 as a mixed number is 9 ³/₄