310/30 as a Decimal and Mixed Number

310/30 as a decimal and mixed number expansion provides the detailed information about what is 310/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

310/30 as a Decimal
310/30 = 10.3333
Hence,
310/30 as a decimal equals to 10.3333
where,
310/30 is a given fraction,
The decimal expansion of 310/30 is 10.3333

310/30 as a Mixed Number
310/30 = (300 + 10)/30
= 300/30 + 10/30
= 10 + 10/30
= 10 10/30
310/30 = 10 10/30

Hence,
310/30 as a mixed number is 10 ¹⁰/₃₀
where,
310/30 is a given fraction,
10 ¹⁰/₃₀ is the mixed number representation of 310/30.

The below work with steps provide the detailed information about how to convert fraction 310/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 310/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 310/30.

step 2 The numerator is greater than the denominator of the fraction 310/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 310/30
= 300 + 10/30
= (10 x 30) + 10/30

step 3 Make the above expression as individual fractions:
= (10 x 30)/30 + 10/30

step 4 Simplify the above expression:
= 10 x 30/30 + 10/30
= 10 + 10/30
= 10 + 1 x 10/3 x 10
= 10 + 1/3
10 + 1/3 can be written as a mixed number 10 ¹/₃.


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 10 + 0.3333
= 10.3333
310/30 = 10.3333

Hence,
310/30 as a decimal is 10.3333
310/30 as a mixed number is 10 ¹/₃