215/75 as a Decimal and Mixed Number

215/75 as a decimal and mixed number expansion provides the detailed information about what is 215/75 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

215/75 as a Decimal
215/75 = 2.8667
Hence,
215/75 as a decimal equals to 2.8667
where,
215/75 is a given fraction,
The decimal expansion of 215/75 is 2.8667

215/75 as a Mixed Number
215/75 = (150 + 65)/75
= 150/75 + 65/75
= 2 + 65/75
= 2 65/75
215/75 = 2 65/75

Hence,
215/75 as a mixed number is 2 ⁶⁵/₇₅
where,
215/75 is a given fraction,
2 ⁶⁵/₇₅ is the mixed number representation of 215/75.

The below work with steps provide the detailed information about how to convert fraction 215/75 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 215/75

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 215/75.

step 2 The numerator is greater than the denominator of the fraction 215/75, so write the given fraction in the expression form in terms of denominator as like the below:
= 215/75
= 150 + 65/75
= (2 x 75) + 65/75

step 3 Make the above expression as individual fractions:
= (2 x 75)/75 + 65/75

step 4 Simplify the above expression:
= 2 x 75/75 + 65/75
= 2 + 65/75
= 2 + 13 x 5/15 x 5
= 2 + 13/15
2 + 13/15 can be written as a mixed number 2 ¹³/₁₅.


step 5 Find the decimal equivalent for the fractional part 13/15 in the above expression:
= 2 + 0.8667
= 2.8667
215/75 = 2.8667

Hence,
215/75 as a decimal is 2.8667
215/75 as a mixed number is 2 ¹³/₁₅