248/217 as a Decimal and Mixed Number

248/217 as a decimal and mixed number expansion provides the detailed information about what is 248/217 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

248/217 as a Decimal
248/217 = 1.1429
Hence,
248/217 as a decimal equals to 1.1429
where,
248/217 is a given fraction,
The decimal expansion of 248/217 is 1.1429

248/217 as a Mixed Number
248/217 = (217 + 31)/217
= 217/217 + 31/217
= 1 + 31/217
= 1 31/217
248/217 = 1 31/217

Hence,
248/217 as a mixed number is 1 ³¹/₂₁₇
where,
248/217 is a given fraction,
1 ³¹/₂₁₇ is the mixed number representation of 248/217.

The below work with steps provide the detailed information about how to convert fraction 248/217 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 248/217

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 248/217.

step 2 The numerator is greater than the denominator of the fraction 248/217, so write the given fraction in the expression form in terms of denominator as like the below:
= 248/217
= 217 + 31/217

step 3 Make the above expression as individual fractions:
= 217/217 + 31/217

step 4 Simplify the above expression:
= 1 x 217/217 + 31/217
= 1 + 31/217
= 1 + 1 x 31/7 x 31
= 1 + 1/7
1 + 1/7 can be written as a mixed number 1 ¹/₇.


step 5 Find the decimal equivalent for the fractional part 1/7 in the above expression:
= 1 + 0.1429
= 1.1429
248/217 = 1.1429

Hence,
248/217 as a decimal is 1.1429
248/217 as a mixed number is 1 ¹/₇