330/220 as a Decimal and Mixed Number

330/220 as a decimal and mixed number expansion provides the detailed information about what is 330/220 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

330/220 as a Decimal
330/220 = 1.5
Hence,
330/220 as a decimal equals to 1.5
where,
330/220 is a given fraction,
The decimal expansion of 330/220 is 1.5

330/220 as a Mixed Number
330/220 = (220 + 110)/220
= 220/220 + 110/220
= 1 + 110/220
= 1 110/220
330/220 = 1 110/220

Hence,
330/220 as a mixed number is 1 ¹¹⁰/₂₂₀
where,
330/220 is a given fraction,
1 ¹¹⁰/₂₂₀ is the mixed number representation of 330/220.

The below work with steps provide the detailed information about how to convert fraction 330/220 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 330/220

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 330/220.

step 2 The numerator is greater than the denominator of the fraction 330/220, so write the given fraction in the expression form in terms of denominator as like the below:
= 330/220
= 220 + 110/220

step 3 Make the above expression as individual fractions:
= 220/220 + 110/220

step 4 Simplify the above expression:
= 1 x 220/220 + 110/220
= 1 + 110/220
= 1 + 1 x 110/2 x 110
= 1 + 1/2
1 + 1/2 can be written as a mixed number 1 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 1 + (1/2 x 5/5)
= 1 + 5/10

step 6 Simplify the above expression further:
= 1 + 0.5
= 1.5
330/220 = 1.5

Hence,
330/220 as a decimal is 1.5
330/220 as a mixed number is 1 ¹/₂