330/80 as a Decimal and Mixed Number

330/80 as a decimal and mixed number expansion provides the detailed information about what is 330/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

330/80 as a Decimal
330/80 = 4.125
Hence,
330/80 as a decimal equals to 4.125
where,
330/80 is a given fraction,
The decimal expansion of 330/80 is 4.125

330/80 as a Mixed Number
330/80 = (320 + 10)/80
= 320/80 + 10/80
= 4 + 10/80
= 4 10/80
330/80 = 4 10/80

Hence,
330/80 as a mixed number is 4 ¹⁰/₈₀
where,
330/80 is a given fraction,
4 ¹⁰/₈₀ is the mixed number representation of 330/80.

The below work with steps provide the detailed information about how to convert fraction 330/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 330/80

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 330/80.

step 2 The numerator is greater than the denominator of the fraction 330/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 330/80
= 320 + 10/80
= (4 x 80) + 10/80

step 3 Make the above expression as individual fractions:
= (4 x 80)/80 + 10/80

step 4 Simplify the above expression:
= 4 x 80/80 + 10/80
= 4 + 10/80
= 4 + 1 x 10/8 x 10
= 4 + 1/8
4 + 1/8 can be written as a mixed number 4 ¹/₈.


step 5 Find the decimal equivalent for the fractional part 1/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 4 + (1/8 x 125/125)
= 4 + 125/1000

step 6 Simplify the above expression further:
= 4 + 0.125
= 4.125
330/80 = 4.125

Hence,
330/80 as a decimal is 4.125
330/80 as a mixed number is 4 ¹/₈