310/45 as a Decimal and Mixed Number

310/45 as a decimal and mixed number expansion provides the detailed information about what is 310/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

310/45 as a Decimal
310/45 = 6.8889
Hence,
310/45 as a decimal equals to 6.8889
where,
310/45 is a given fraction,
The decimal expansion of 310/45 is 6.8889

310/45 as a Mixed Number
310/45 = (270 + 40)/45
= 270/45 + 40/45
= 6 + 40/45
= 6 40/45
310/45 = 6 40/45

Hence,
310/45 as a mixed number is 6 ⁴⁰/₄₅
where,
310/45 is a given fraction,
6 ⁴⁰/₄₅ is the mixed number representation of 310/45.

The below work with steps provide the detailed information about how to convert fraction 310/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 310/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 310/45.

step 2 The numerator is greater than the denominator of the fraction 310/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 310/45
= 270 + 40/45
= (6 x 45) + 40/45

step 3 Make the above expression as individual fractions:
= (6 x 45)/45 + 40/45

step 4 Simplify the above expression:
= 6 x 45/45 + 40/45
= 6 + 40/45
= 6 + 8 x 5/9 x 5
= 6 + 8/9
6 + 8/9 can be written as a mixed number 6 ⁸/₉.


step 5 Find the decimal equivalent for the fractional part 8/9 in the above expression:
= 6 + 0.8889
= 6.8889
310/45 = 6.8889

Hence,
310/45 as a decimal is 6.8889
310/45 as a mixed number is 6 ⁸/₉