310/85 as a Decimal and Mixed Number
310/85 as a decimal and mixed number expansion provides the detailed information about what is 310/85 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
310/85 as a Decimal
310/85 = 3.6471
Hence,
310/85 as a decimal equals to 3.6471
where,
310/85 is a given fraction,
The decimal expansion of 310/85 is 3.6471
310/85 as a Mixed Number
310/85 = (255 + 55)/85
= 255/85 + 55/85
= 3 + 55/85
= 3 55/85
310/85 = 3 55/85
Hence,
310/85 as a mixed number is 3 55/85
where,
310/85 is a given fraction,
3 55/85 is the mixed number representation of 310/85.
How-to: 310/85 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 310/85 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 310/85
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 310/85.
step 2 The numerator is greater than the denominator of the fraction 310/85, so write the given fraction in the expression form in terms of denominator as like the below:
= 310/85
= 255 + 55/85
= (3 x 85) + 55/85
step 3 Make the above expression as individual fractions:
= (3 x 85)/85 + 55/85
step 4 Simplify the above expression:
= 3 x 85/85 + 55/85
= 3 + 55/85
= 3 + 11 x 5/17 x 5
= 3 + 11/17
3 + 11/17 can be written as a mixed number 3 11/17.
step 5 Find the decimal equivalent for the fractional part 11/17 in the above expression:
= 3 + 0.6471
= 3.6471
310/85 = 3.6471
Hence,
310/85 as a decimal is 3.6471
310/85 as a mixed number is 3 11/17