254/242 as a Decimal and Mixed Number

254/242 as a decimal and mixed number expansion provides the detailed information about what is 254/242 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

254/242 as a Decimal
254/242 = 1.0496
Hence,
254/242 as a decimal equals to 1.0496
where,
254/242 is a given fraction,
The decimal expansion of 254/242 is 1.0496

254/242 as a Mixed Number
254/242 = (242 + 12)/242
= 242/242 + 12/242
= 1 + 12/242
= 1 12/242
254/242 = 1 12/242

Hence,
254/242 as a mixed number is 1 ¹²/₂₄₂
where,
254/242 is a given fraction,
1 ¹²/₂₄₂ is the mixed number representation of 254/242.

The below work with steps provide the detailed information about how to convert fraction 254/242 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 254/242

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 254/242.

step 2 The numerator is greater than the denominator of the fraction 254/242, so write the given fraction in the expression form in terms of denominator as like the below:
= 254/242
= 242 + 12/242

step 3 Make the above expression as individual fractions:
= 242/242 + 12/242

step 4 Simplify the above expression:
= 1 x 242/242 + 12/242
= 1 + 12/242
= 1 + 6 x 2/121 x 2
= 1 + 6/121
1 + 6/121 can be written as a mixed number 1 ⁶/₁₂₁.


step 5 Find the decimal equivalent for the fractional part 6/121 in the above expression:
= 1 + 0.0496
= 1.0496
254/242 = 1.0496

Hence,
254/242 as a decimal is 1.0496
254/242 as a mixed number is 1 ⁶/₁₂₁