215/45 as a Decimal and Mixed Number

215/45 as a decimal and mixed number expansion provides the detailed information about what is 215/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

215/45 as a Decimal
215/45 = 4.7778
Hence,
215/45 as a decimal equals to 4.7778
where,
215/45 is a given fraction,
The decimal expansion of 215/45 is 4.7778

215/45 as a Mixed Number
215/45 = (180 + 35)/45
= 180/45 + 35/45
= 4 + 35/45
= 4 35/45
215/45 = 4 35/45

Hence,
215/45 as a mixed number is 4 ³⁵/₄₅
where,
215/45 is a given fraction,
4 ³⁵/₄₅ is the mixed number representation of 215/45.

The below work with steps provide the detailed information about how to convert fraction 215/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 215/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 215/45.

step 2 The numerator is greater than the denominator of the fraction 215/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 215/45
= 180 + 35/45
= (4 x 45) + 35/45

step 3 Make the above expression as individual fractions:
= (4 x 45)/45 + 35/45

step 4 Simplify the above expression:
= 4 x 45/45 + 35/45
= 4 + 35/45
= 4 + 7 x 5/9 x 5
= 4 + 7/9
4 + 7/9 can be written as a mixed number 4 ⁷/₉.


step 5 Find the decimal equivalent for the fractional part 7/9 in the above expression:
= 4 + 0.7778
= 4.7778
215/45 = 4.7778

Hence,
215/45 as a decimal is 4.7778
215/45 as a mixed number is 4 ⁷/₉