310/12 as a Decimal and Mixed Number

310/12 as a decimal and mixed number expansion provides the detailed information about what is 310/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

310/12 as a Decimal
310/12 = 25.8333
Hence,
310/12 as a decimal equals to 25.8333
where,
310/12 is a given fraction,
The decimal expansion of 310/12 is 25.8333

310/12 as a Mixed Number
310/12 = (300 + 10)/12
= 300/12 + 10/12
= 25 + 10/12
= 25 10/12
310/12 = 25 10/12

Hence,
310/12 as a mixed number is 25 ¹⁰/₁₂
where,
310/12 is a given fraction,
25 ¹⁰/₁₂ is the mixed number representation of 310/12.

The below work with steps provide the detailed information about how to convert fraction 310/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 310/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 310/12.

step 2 The numerator is greater than the denominator of the fraction 310/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 310/12
= 300 + 10/12
= (25 x 12) + 10/12

step 3 Make the above expression as individual fractions:
= (25 x 12)/12 + 10/12

step 4 Simplify the above expression:
= 25 x 12/12 + 10/12
= 25 + 10/12
= 25 + 5 x 2/6 x 2
= 25 + 5/6
25 + 5/6 can be written as a mixed number 25 ⁵/₆.


step 5 Find the decimal equivalent for the fractional part 5/6 in the above expression:
= 25 + 0.8333
= 25.8333
310/12 = 25.8333

Hence,
310/12 as a decimal is 25.8333
310/12 as a mixed number is 25 ⁵/₆