254/216 as a Decimal and Mixed Number

254/216 as a decimal and mixed number expansion provides the detailed information about what is 254/216 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

254/216 as a Decimal
254/216 = 1.1759
Hence,
254/216 as a decimal equals to 1.1759
where,
254/216 is a given fraction,
The decimal expansion of 254/216 is 1.1759

254/216 as a Mixed Number
254/216 = (216 + 38)/216
= 216/216 + 38/216
= 1 + 38/216
= 1 38/216
254/216 = 1 38/216

Hence,
254/216 as a mixed number is 1 ³⁸/₂₁₆
where,
254/216 is a given fraction,
1 ³⁸/₂₁₆ is the mixed number representation of 254/216.

The below work with steps provide the detailed information about how to convert fraction 254/216 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 254/216

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 254/216.

step 2 The numerator is greater than the denominator of the fraction 254/216, so write the given fraction in the expression form in terms of denominator as like the below:
= 254/216
= 216 + 38/216

step 3 Make the above expression as individual fractions:
= 216/216 + 38/216

step 4 Simplify the above expression:
= 1 x 216/216 + 38/216
= 1 + 38/216
= 1 + 19 x 2/108 x 2
= 1 + 19/108
1 + 19/108 can be written as a mixed number 1 ¹⁹/₁₀₈.


step 5 Find the decimal equivalent for the fractional part 19/108 in the above expression:
= 1 + 0.1759
= 1.1759
254/216 = 1.1759

Hence,
254/216 as a decimal is 1.1759
254/216 as a mixed number is 1 ¹⁹/₁₀₈