304/80 as a Decimal and Mixed Number

304/80 as a decimal and mixed number expansion provides the detailed information about what is 304/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

304/80 as a Decimal
304/80 = 3.8
Hence,
304/80 as a decimal equals to 3.8
where,
304/80 is a given fraction,
The decimal expansion of 304/80 is 3.8

304/80 as a Mixed Number
304/80 = (240 + 64)/80
= 240/80 + 64/80
= 3 + 64/80
= 3 64/80
304/80 = 3 64/80

Hence,
304/80 as a mixed number is 3 ⁶⁴/₈₀
where,
304/80 is a given fraction,
3 ⁶⁴/₈₀ is the mixed number representation of 304/80.

The below work with steps provide the detailed information about how to convert fraction 304/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 304/80

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 304/80.

step 2 The numerator is greater than the denominator of the fraction 304/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 304/80
= 240 + 64/80
= (3 x 80) + 64/80

step 3 Make the above expression as individual fractions:
= (3 x 80)/80 + 64/80

step 4 Simplify the above expression:
= 3 x 80/80 + 64/80
= 3 + 64/80
= 3 + 4 x 16/5 x 16
= 3 + 4/5
3 + 4/5 can be written as a mixed number 3 ⁴/₅.


step 5 Find the decimal equivalent for the fractional part 4/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 3 + (4/5 x 2/2)
= 3 + 8/10

step 6 Simplify the above expression further:
= 3 + 0.8
= 3.8
304/80 = 3.8

Hence,
304/80 as a decimal is 3.8
304/80 as a mixed number is 3 ⁴/₅