254/102 as a Decimal and Mixed Number

254/102 as a decimal and mixed number expansion provides the detailed information about what is 254/102 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

254/102 as a Decimal
254/102 = 2.4902
Hence,
254/102 as a decimal equals to 2.4902
where,
254/102 is a given fraction,
The decimal expansion of 254/102 is 2.4902

254/102 as a Mixed Number
254/102 = (204 + 50)/102
= 204/102 + 50/102
= 2 + 50/102
= 2 50/102
254/102 = 2 50/102

Hence,
254/102 as a mixed number is 2 ⁵⁰/₁₀₂
where,
254/102 is a given fraction,
2 ⁵⁰/₁₀₂ is the mixed number representation of 254/102.

The below work with steps provide the detailed information about how to convert fraction 254/102 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 254/102

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 254/102.

step 2 The numerator is greater than the denominator of the fraction 254/102, so write the given fraction in the expression form in terms of denominator as like the below:
= 254/102
= 204 + 50/102
= (2 x 102) + 50/102

step 3 Make the above expression as individual fractions:
= (2 x 102)/102 + 50/102

step 4 Simplify the above expression:
= 2 x 102/102 + 50/102
= 2 + 50/102
= 2 + 25 x 2/51 x 2
= 2 + 25/51
2 + 25/51 can be written as a mixed number 2 ²⁵/₅₁.


step 5 Find the decimal equivalent for the fractional part 25/51 in the above expression:
= 2 + 0.4902
= 2.4902
254/102 = 2.4902

Hence,
254/102 as a decimal is 2.4902
254/102 as a mixed number is 2 ²⁵/₅₁