215/85 as a Decimal and Mixed Number

215/85 as a decimal and mixed number expansion provides the detailed information about what is 215/85 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

215/85 as a Decimal
215/85 = 2.5294
Hence,
215/85 as a decimal equals to 2.5294
where,
215/85 is a given fraction,
The decimal expansion of 215/85 is 2.5294

215/85 as a Mixed Number
215/85 = (170 + 45)/85
= 170/85 + 45/85
= 2 + 45/85
= 2 45/85
215/85 = 2 45/85

Hence,
215/85 as a mixed number is 2 ⁴⁵/₈₅
where,
215/85 is a given fraction,
2 ⁴⁵/₈₅ is the mixed number representation of 215/85.

The below work with steps provide the detailed information about how to convert fraction 215/85 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 215/85

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 215/85.

step 2 The numerator is greater than the denominator of the fraction 215/85, so write the given fraction in the expression form in terms of denominator as like the below:
= 215/85
= 170 + 45/85
= (2 x 85) + 45/85

step 3 Make the above expression as individual fractions:
= (2 x 85)/85 + 45/85

step 4 Simplify the above expression:
= 2 x 85/85 + 45/85
= 2 + 45/85
= 2 + 9 x 5/17 x 5
= 2 + 9/17
2 + 9/17 can be written as a mixed number 2 ⁹/₁₇.


step 5 Find the decimal equivalent for the fractional part 9/17 in the above expression:
= 2 + 0.5294
= 2.5294
215/85 = 2.5294

Hence,
215/85 as a decimal is 2.5294
215/85 as a mixed number is 2 ⁹/₁₇