262/80 as a Decimal and Mixed Number

262/80 as a decimal and mixed number expansion provides the detailed information about what is 262/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

262/80 as a Decimal
262/80 = 3.275
Hence,
262/80 as a decimal equals to 3.275
where,
262/80 is a given fraction,
The decimal expansion of 262/80 is 3.275

262/80 as a Mixed Number
262/80 = (240 + 22)/80
= 240/80 + 22/80
= 3 + 22/80
= 3 22/80
262/80 = 3 22/80

Hence,
262/80 as a mixed number is 3 ²²/₈₀
where,
262/80 is a given fraction,
3 ²²/₈₀ is the mixed number representation of 262/80.

The below work with steps provide the detailed information about how to convert fraction 262/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 262/80

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 262/80.

step 2 The numerator is greater than the denominator of the fraction 262/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 262/80
= 240 + 22/80
= (3 x 80) + 22/80

step 3 Make the above expression as individual fractions:
= (3 x 80)/80 + 22/80

step 4 Simplify the above expression:
= 3 x 80/80 + 22/80
= 3 + 22/80
= 3 + 11 x 2/40 x 2
= 3 + 11/40
3 + 11/40 can be written as a mixed number 3 ¹¹/₄₀.


step 5 Find the decimal equivalent for the fractional part 11/40 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 3 + (11/40 x 25/25)
= 3 + 275/1000

step 6 Simplify the above expression further:
= 3 + 0.275
= 3.275
262/80 = 3.275

Hence,
262/80 as a decimal is 3.275
262/80 as a mixed number is 3 ¹¹/₄₀