215/42 as a Decimal and Mixed Number

215/42 as a decimal and mixed number expansion provides the detailed information about what is 215/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

215/42 as a Decimal
215/42 = 5.119
Hence,
215/42 as a decimal equals to 5.119
where,
215/42 is a given fraction,
The decimal expansion of 215/42 is 5.119

215/42 as a Mixed Number
215/42 = (210 + 5)/42
= 210/42 + 5/42
= 5 + 5/42
= 5 5/42
215/42 = 5 5/42

Hence,
215/42 as a mixed number is 5 ⁵/₄₂
where,
215/42 is a given fraction,
5 ⁵/₄₂ is the mixed number representation of 215/42.

The below work with steps provide the detailed information about how to convert fraction 215/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 215/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 215/42.

step 2 The numerator is greater than the denominator of the fraction 215/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 215/42
= 210 + 5/42
= (5 x 42) + 5/42

step 3 Make the above expression as individual fractions:
= (5 x 42)/42 + 5/42

step 4 Simplify the above expression:
= 5 x 42/42 + 5/42
= 5 + 5/42
5 + 5/42 can be written as a mixed number 5 ⁵/₄₂.


step 5 Find the decimal equivalent for the fractional part 5/42 in the above expression:
= 5 + 0.119
= 5.119
215/42 = 5.119

Hence,
215/42 as a decimal is 5.119
215/42 as a mixed number is 5 ⁵/₄₂