258/242 as a Decimal and Mixed Number

258/242 as a decimal and mixed number expansion provides the detailed information about what is 258/242 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

258/242 as a Decimal
258/242 = 1.0661
Hence,
258/242 as a decimal equals to 1.0661
where,
258/242 is a given fraction,
The decimal expansion of 258/242 is 1.0661

258/242 as a Mixed Number
258/242 = (242 + 16)/242
= 242/242 + 16/242
= 1 + 16/242
= 1 16/242
258/242 = 1 16/242

Hence,
258/242 as a mixed number is 1 ¹⁶/₂₄₂
where,
258/242 is a given fraction,
1 ¹⁶/₂₄₂ is the mixed number representation of 258/242.

The below work with steps provide the detailed information about how to convert fraction 258/242 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 258/242

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 258/242.

step 2 The numerator is greater than the denominator of the fraction 258/242, so write the given fraction in the expression form in terms of denominator as like the below:
= 258/242
= 242 + 16/242

step 3 Make the above expression as individual fractions:
= 242/242 + 16/242

step 4 Simplify the above expression:
= 1 x 242/242 + 16/242
= 1 + 16/242
= 1 + 8 x 2/121 x 2
= 1 + 8/121
1 + 8/121 can be written as a mixed number 1 ⁸/₁₂₁.


step 5 Find the decimal equivalent for the fractional part 8/121 in the above expression:
= 1 + 0.0661
= 1.0661
258/242 = 1.0661

Hence,
258/242 as a decimal is 1.0661
258/242 as a mixed number is 1 ⁸/₁₂₁