310/3 as a decimal and mixed number expansion provides the detailed information about what is 310/3 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
310/3 as a Decimal
310/3 = 103.3333
Hence,
310/3 as a decimal equals to 103.3333
where,
310/3 is a given fraction,
The decimal expansion of 310/3 is 103.3333
310/3 as a Mixed Number
310/3 = (309 + 1)/3
= 309/3 + 1/3
= 103 + 1/3
= 103 1/3
310/3 = 103 1/3
Hence,
310/3 as a mixed number is 103 1/3
where,
310/3 is a given fraction,
103 1/3 is the mixed number representation of 310/3.
The below work with steps provide the detailed information about how to convert fraction 310/3 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 310/3
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 310/3.
step 2 The numerator is greater than the denominator of the fraction 310/3, so write the given fraction in the expression form in terms of denominator as like the below:
= 310/3
= 309 + 1/3
= (103 x 3) + 1/3
step 3 Make the above expression as individual fractions:
= (103 x 3)/3 + 1/3
step 4 Simplify the above expression:
= 103 x 3/3 + 1/3
= 103 + 1/3
103 + 1/3 can be written as a mixed number 103 1/3.
step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 103 + 0.3333
= 103.3333
310/3 = 103.3333
Hence,
310/3 as a decimal is 103.3333
310/3 as a mixed number is 103 1/3