262/108 as a Decimal and Mixed Number

262/108 as a decimal and mixed number expansion provides the detailed information about what is 262/108 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

262/108 as a Decimal
262/108 = 2.4259
Hence,
262/108 as a decimal equals to 2.4259
where,
262/108 is a given fraction,
The decimal expansion of 262/108 is 2.4259

262/108 as a Mixed Number
262/108 = (216 + 46)/108
= 216/108 + 46/108
= 2 + 46/108
= 2 46/108
262/108 = 2 46/108

Hence,
262/108 as a mixed number is 2 ⁴⁶/₁₀₈
where,
262/108 is a given fraction,
2 ⁴⁶/₁₀₈ is the mixed number representation of 262/108.

The below work with steps provide the detailed information about how to convert fraction 262/108 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 262/108

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 262/108.

step 2 The numerator is greater than the denominator of the fraction 262/108, so write the given fraction in the expression form in terms of denominator as like the below:
= 262/108
= 216 + 46/108
= (2 x 108) + 46/108

step 3 Make the above expression as individual fractions:
= (2 x 108)/108 + 46/108

step 4 Simplify the above expression:
= 2 x 108/108 + 46/108
= 2 + 46/108
= 2 + 23 x 2/54 x 2
= 2 + 23/54
2 + 23/54 can be written as a mixed number 2 ²³/₅₄.


step 5 Find the decimal equivalent for the fractional part 23/54 in the above expression:
= 2 + 0.4259
= 2.4259
262/108 = 2.4259

Hence,
262/108 as a decimal is 2.4259
262/108 as a mixed number is 2 ²³/₅₄