262/110 as a Decimal and Mixed Number

262/110 as a decimal and mixed number expansion provides the detailed information about what is 262/110 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

262/110 as a Decimal
262/110 = 2.3818
Hence,
262/110 as a decimal equals to 2.3818
where,
262/110 is a given fraction,
The decimal expansion of 262/110 is 2.3818

262/110 as a Mixed Number
262/110 = (220 + 42)/110
= 220/110 + 42/110
= 2 + 42/110
= 2 42/110
262/110 = 2 42/110

Hence,
262/110 as a mixed number is 2 ⁴²/₁₁₀
where,
262/110 is a given fraction,
2 ⁴²/₁₁₀ is the mixed number representation of 262/110.

The below work with steps provide the detailed information about how to convert fraction 262/110 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 262/110

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 262/110.

step 2 The numerator is greater than the denominator of the fraction 262/110, so write the given fraction in the expression form in terms of denominator as like the below:
= 262/110
= 220 + 42/110
= (2 x 110) + 42/110

step 3 Make the above expression as individual fractions:
= (2 x 110)/110 + 42/110

step 4 Simplify the above expression:
= 2 x 110/110 + 42/110
= 2 + 42/110
= 2 + 21 x 2/55 x 2
= 2 + 21/55
2 + 21/55 can be written as a mixed number 2 ²¹/₅₅.


step 5 Find the decimal equivalent for the fractional part 21/55 in the above expression:
= 2 + 0.3818
= 2.3818
262/110 = 2.3818

Hence,
262/110 as a decimal is 2.3818
262/110 as a mixed number is 2 ²¹/₅₅