322/32 as a Decimal and Mixed Number

322/32 as a decimal and mixed number expansion provides the detailed information about what is 322/32 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

322/32 as a Decimal
322/32 = 10.0625
Hence,
322/32 as a decimal equals to 10.0625
where,
322/32 is a given fraction,
The decimal expansion of 322/32 is 10.0625

322/32 as a Mixed Number
322/32 = (320 + 2)/32
= 320/32 + 2/32
= 10 + 2/32
= 10 2/32
322/32 = 10 2/32

Hence,
322/32 as a mixed number is 10 ²/₃₂
where,
322/32 is a given fraction,
10 ²/₃₂ is the mixed number representation of 322/32.

The below work with steps provide the detailed information about how to convert fraction 322/32 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 322/32

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 322/32.

step 2 The numerator is greater than the denominator of the fraction 322/32, so write the given fraction in the expression form in terms of denominator as like the below:
= 322/32
= 320 + 2/32
= (10 x 32) + 2/32

step 3 Make the above expression as individual fractions:
= (10 x 32)/32 + 2/32

step 4 Simplify the above expression:
= 10 x 32/32 + 2/32
= 10 + 2/32
= 10 + 1 x 2/16 x 2
= 10 + 1/16
10 + 1/16 can be written as a mixed number 10 ¹/₁₆.


step 5 Find the decimal equivalent for the fractional part 1/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 10 + (1/16 x 625/625)
= 10 + 625/10000

step 6 Simplify the above expression further:
= 10 + 0.0625
= 10.0625
322/32 = 10.0625

Hence,
322/32 as a decimal is 10.0625
322/32 as a mixed number is 10 ¹/₁₆