31/12 as a Decimal and Mixed Number

31/12 as a decimal and mixed number expansion provides the detailed information about what is 31/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

31/12 as a Decimal Expansion
31/12 = 2.5833
Hence,
31/12 as a decimal equals to 2.5833
where,
31/12 is a given fraction,
The decimal expansion of 31/12 is 2.5833

31/12 as a Mixed Number
31/12 = (24 + 7)/12
= 24/12 + 7/12
= 2 + 7/12
= 2 7/12
31/12 = 2 7/12

Hence,
31/12 as a mixed number is 2 ⁷/₁₂
where,
31/12 is a given fraction,
2 ⁷/₁₂ is the mixed number representation of 31/12.

The below work with steps provide the detailed information about how to convert fraction 31/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 31/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 31/12.

step 2 The numerator is greater than the denominator of the fraction 31/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 31/12
= 24 + 7/12
= (2 x 12) + 7/12

step 3 Make the above expression as individual fractions:
= (2 x 12)/12 + 7/12

step 4 Simplify the above expression:
= 2 x 12/12 + 7/12
= 2 + 7/12
2 + 7/12 can be written as a mixed number 2 ⁷/₁₂.


step 5 Find the decimal equivalent for the fractional part 7/12 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/12. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 7/12.
= 2 + (7/12 x 100/100)

step 6 Simplify the above expression further:
= 2 + (700/12 x 1/100)
= 2 + (696 + 4/12 x 1/100)
= 2 + [(696/12 + 4/12 ) x 1/100]
= 2 + [(58 + 4/12) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 4/12 in the above expression:
= 2 + [(58 + 4/12) x 1/100]
= 2 + [(58 + 0.33) x 1/100]
= 2 + (58.33 x 1/100)
= 2 + 58.33/100
= 2 + 0.5833

step 8 Find the sum of above expression:
= 2 + 0.5833
= 2.5833
31/12 = 2.5833

Hence,
31/12 as a decimal is 2.5833
31/12 as a mixed number is 2 ⁷/₁₂