215/210 as a Decimal and Mixed Number

215/210 as a decimal and mixed number expansion provides the detailed information about what is 215/210 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

215/210 as a Decimal
215/210 = 1.0238
Hence,
215/210 as a decimal equals to 1.0238
where,
215/210 is a given fraction,
The decimal expansion of 215/210 is 1.0238

215/210 as a Mixed Number
215/210 = (210 + 5)/210
= 210/210 + 5/210
= 1 + 5/210
= 1 5/210
215/210 = 1 5/210

Hence,
215/210 as a mixed number is 1 ⁵/₂₁₀
where,
215/210 is a given fraction,
1 ⁵/₂₁₀ is the mixed number representation of 215/210.

The below work with steps provide the detailed information about how to convert fraction 215/210 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 215/210

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 215/210.

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

step 3 Make the above expression as individual fractions:
= 210/210 + 5/210

step 4 Simplify the above expression:
= 1 x 210/210 + 5/210
= 1 + 5/210
= 1 + 1 x 5/42 x 5
= 1 + 1/42
1 + 1/42 can be written as a mixed number 1 ¹/₄₂.


step 5 Find the decimal equivalent for the fractional part 1/42 in the above expression:
= 1 + 0.0238
= 1.0238
215/210 = 1.0238

Hence,
215/210 as a decimal is 1.0238
215/210 as a mixed number is 1 ¹/₄₂