310/90 as a Decimal and Mixed Number

310/90 as a decimal and mixed number expansion provides the detailed information about what is 310/90 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

310/90 as a Decimal
310/90 = 3.4444
Hence,
310/90 as a decimal equals to 3.4444
where,
310/90 is a given fraction,
The decimal expansion of 310/90 is 3.4444

310/90 as a Mixed Number
310/90 = (270 + 40)/90
= 270/90 + 40/90
= 3 + 40/90
= 3 40/90
310/90 = 3 40/90

Hence,
310/90 as a mixed number is 3 ⁴⁰/₉₀
where,
310/90 is a given fraction,
3 ⁴⁰/₉₀ is the mixed number representation of 310/90.

The below work with steps provide the detailed information about how to convert fraction 310/90 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 310/90

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 310/90.

step 2 The numerator is greater than the denominator of the fraction 310/90, so write the given fraction in the expression form in terms of denominator as like the below:
= 310/90
= 270 + 40/90
= (3 x 90) + 40/90

step 3 Make the above expression as individual fractions:
= (3 x 90)/90 + 40/90

step 4 Simplify the above expression:
= 3 x 90/90 + 40/90
= 3 + 40/90
= 3 + 4 x 10/9 x 10
= 3 + 4/9
3 + 4/9 can be written as a mixed number 3 ⁴/₉.


step 5 Find the decimal equivalent for the fractional part 4/9 in the above expression:
= 3 + 0.4444
= 3.4444
310/90 = 3.4444

Hence,
310/90 as a decimal is 3.4444
310/90 as a mixed number is 3 ⁴/₉