302/80 as a Decimal and Mixed Number

302/80 as a decimal and mixed number expansion provides the detailed information about what is 302/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

302/80 as a Decimal
302/80 = 3.775
Hence,
302/80 as a decimal equals to 3.775
where,
302/80 is a given fraction,
The decimal expansion of 302/80 is 3.775

302/80 as a Mixed Number
302/80 = (240 + 62)/80
= 240/80 + 62/80
= 3 + 62/80
= 3 62/80
302/80 = 3 62/80

Hence,
302/80 as a mixed number is 3 ⁶²/₈₀
where,
302/80 is a given fraction,
3 ⁶²/₈₀ is the mixed number representation of 302/80.

The below work with steps provide the detailed information about how to convert fraction 302/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 302/80

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 302/80.

step 2 The numerator is greater than the denominator of the fraction 302/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 302/80
= 240 + 62/80
= (3 x 80) + 62/80

step 3 Make the above expression as individual fractions:
= (3 x 80)/80 + 62/80

step 4 Simplify the above expression:
= 3 x 80/80 + 62/80
= 3 + 62/80
= 3 + 31 x 2/40 x 2
= 3 + 31/40
3 + 31/40 can be written as a mixed number 3 ³¹/₄₀.


step 5 Find the decimal equivalent for the fractional part 31/40 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 3 + (31/40 x 25/25)
= 3 + 775/1000

step 6 Simplify the above expression further:
= 3 + 0.775
= 3.775
302/80 = 3.775

Hence,
302/80 as a decimal is 3.775
302/80 as a mixed number is 3 ³¹/₄₀