303/80 as a Decimal and Mixed Number

303/80 as a decimal and mixed number expansion provides the detailed information about what is 303/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

303/80 as a Decimal
303/80 = 3.7875
Hence,
303/80 as a decimal equals to 3.7875
where,
303/80 is a given fraction,
The decimal expansion of 303/80 is 3.7875

303/80 as a Mixed Number
303/80 = (240 + 63)/80
= 240/80 + 63/80
= 3 + 63/80
= 3 63/80
303/80 = 3 63/80

Hence,
303/80 as a mixed number is 3 ⁶³/₈₀
where,
303/80 is a given fraction,
3 ⁶³/₈₀ is the mixed number representation of 303/80.

The below work with steps provide the detailed information about how to convert fraction 303/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 303/80

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 303/80.

step 2 The numerator is greater than the denominator of the fraction 303/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 303/80
= 240 + 63/80
= (3 x 80) + 63/80

step 3 Make the above expression as individual fractions:
= (3 x 80)/80 + 63/80

step 4 Simplify the above expression:
= 3 x 80/80 + 63/80
= 3 + 63/80
3 + 63/80 can be written as a mixed number 3 ⁶³/₈₀.


step 5 Find the decimal equivalent for the fractional part 63/80 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 3 + (63/80 x 125/125)
= 3 + 7875/10000

step 6 Simplify the above expression further:
= 3 + 0.7875
= 3.7875
303/80 = 3.7875

Hence,
303/80 as a decimal is 3.7875
303/80 as a mixed number is 3 ⁶³/₈₀