215/74 as a Decimal and Mixed Number

215/74 as a decimal and mixed number expansion provides the detailed information about what is 215/74 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

215/74 as a Decimal
215/74 = 2.9054
Hence,
215/74 as a decimal equals to 2.9054
where,
215/74 is a given fraction,
The decimal expansion of 215/74 is 2.9054

215/74 as a Mixed Number
215/74 = (148 + 67)/74
= 148/74 + 67/74
= 2 + 67/74
= 2 67/74
215/74 = 2 67/74

Hence,
215/74 as a mixed number is 2 ⁶⁷/₇₄
where,
215/74 is a given fraction,
2 ⁶⁷/₇₄ is the mixed number representation of 215/74.

The below work with steps provide the detailed information about how to convert fraction 215/74 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 215/74

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 215/74.

step 2 The numerator is greater than the denominator of the fraction 215/74, so write the given fraction in the expression form in terms of denominator as like the below:
= 215/74
= 148 + 67/74
= (2 x 74) + 67/74

step 3 Make the above expression as individual fractions:
= (2 x 74)/74 + 67/74

step 4 Simplify the above expression:
= 2 x 74/74 + 67/74
= 2 + 67/74
2 + 67/74 can be written as a mixed number 2 ⁶⁷/₇₄.


step 5 Find the decimal equivalent for the fractional part 67/74 in the above expression:
= 2 + 0.9054
= 2.9054
215/74 = 2.9054

Hence,
215/74 as a decimal is 2.9054
215/74 as a mixed number is 2 ⁶⁷/₇₄