310/58 as a Decimal and Mixed Number

310/58 as a decimal and mixed number expansion provides the detailed information about what is 310/58 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

310/58 as a Decimal
310/58 = 5.3448
Hence,
310/58 as a decimal equals to 5.3448
where,
310/58 is a given fraction,
The decimal expansion of 310/58 is 5.3448

310/58 as a Mixed Number
310/58 = (290 + 20)/58
= 290/58 + 20/58
= 5 + 20/58
= 5 20/58
310/58 = 5 20/58

Hence,
310/58 as a mixed number is 5 ²⁰/₅₈
where,
310/58 is a given fraction,
5 ²⁰/₅₈ is the mixed number representation of 310/58.

The below work with steps provide the detailed information about how to convert fraction 310/58 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 310/58

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 310/58.

step 2 The numerator is greater than the denominator of the fraction 310/58, so write the given fraction in the expression form in terms of denominator as like the below:
= 310/58
= 290 + 20/58
= (5 x 58) + 20/58

step 3 Make the above expression as individual fractions:
= (5 x 58)/58 + 20/58

step 4 Simplify the above expression:
= 5 x 58/58 + 20/58
= 5 + 20/58
= 5 + 10 x 2/29 x 2
= 5 + 10/29
5 + 10/29 can be written as a mixed number 5 ¹⁰/₂₉.


step 5 Find the decimal equivalent for the fractional part 10/29 in the above expression:
= 5 + 0.3448
= 5.3448
310/58 = 5.3448

Hence,
310/58 as a decimal is 5.3448
310/58 as a mixed number is 5 ¹⁰/₂₉