330/120 as a Decimal and Mixed Number

330/120 as a decimal and mixed number expansion provides the detailed information about what is 330/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

330/120 as a Decimal
330/120 = 2.75
Hence,
330/120 as a decimal equals to 2.75
where,
330/120 is a given fraction,
The decimal expansion of 330/120 is 2.75

330/120 as a Mixed Number
330/120 = (240 + 90)/120
= 240/120 + 90/120
= 2 + 90/120
= 2 90/120
330/120 = 2 90/120

Hence,
330/120 as a mixed number is 2 ⁹⁰/₁₂₀
where,
330/120 is a given fraction,
2 ⁹⁰/₁₂₀ is the mixed number representation of 330/120.

The below work with steps provide the detailed information about how to convert fraction 330/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 330/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 330/120.

step 2 The numerator is greater than the denominator of the fraction 330/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 330/120
= 240 + 90/120
= (2 x 120) + 90/120

step 3 Make the above expression as individual fractions:
= (2 x 120)/120 + 90/120

step 4 Simplify the above expression:
= 2 x 120/120 + 90/120
= 2 + 90/120
= 2 + 3 x 30/4 x 30
= 2 + 3/4
2 + 3/4 can be written as a mixed number 2 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 2 + (3/4 x 25/25)
= 2 + 75/100

step 6 Simplify the above expression further:
= 2 + 0.75
= 2.75
330/120 = 2.75

Hence,
330/120 as a decimal is 2.75
330/120 as a mixed number is 2 ³/₄