312/31 as a Decimal and Mixed Number

312/31 as a decimal and mixed number expansion provides the detailed information about what is 312/31 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

312/31 as a Decimal
312/31 = 10.0645
Hence,
312/31 as a decimal equals to 10.0645
where,
312/31 is a given fraction,
The decimal expansion of 312/31 is 10.0645

312/31 as a Mixed Number
312/31 = (310 + 2)/31
= 310/31 + 2/31
= 10 + 2/31
= 10 2/31
312/31 = 10 2/31

Hence,
312/31 as a mixed number is 10 ²/₃₁
where,
312/31 is a given fraction,
10 ²/₃₁ is the mixed number representation of 312/31.

The below work with steps provide the detailed information about how to convert fraction 312/31 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 312/31

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 312/31.

step 2 The numerator is greater than the denominator of the fraction 312/31, so write the given fraction in the expression form in terms of denominator as like the below:
= 312/31
= 310 + 2/31
= (10 x 31) + 2/31

step 3 Make the above expression as individual fractions:
= (10 x 31)/31 + 2/31

step 4 Simplify the above expression:
= 10 x 31/31 + 2/31
= 10 + 2/31
10 + 2/31 can be written as a mixed number 10 ²/₃₁.


step 5 Find the decimal equivalent for the fractional part 2/31 in the above expression:
= 10 + 0.0645
= 10.0645
312/31 = 10.0645

Hence,
312/31 as a decimal is 10.0645
312/31 as a mixed number is 10 ²/₃₁