330/150 as a Decimal and Mixed Number

330/150 as a decimal and mixed number expansion provides the detailed information about what is 330/150 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

330/150 as a Decimal
330/150 = 2.2
Hence,
330/150 as a decimal equals to 2.2
where,
330/150 is a given fraction,
The decimal expansion of 330/150 is 2.2

330/150 as a Mixed Number
330/150 = (300 + 30)/150
= 300/150 + 30/150
= 2 + 30/150
= 2 30/150
330/150 = 2 30/150

Hence,
330/150 as a mixed number is 2 ³⁰/₁₅₀
where,
330/150 is a given fraction,
2 ³⁰/₁₅₀ is the mixed number representation of 330/150.

The below work with steps provide the detailed information about how to convert fraction 330/150 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 330/150

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 330/150.

step 2 The numerator is greater than the denominator of the fraction 330/150, so write the given fraction in the expression form in terms of denominator as like the below:
= 330/150
= 300 + 30/150
= (2 x 150) + 30/150

step 3 Make the above expression as individual fractions:
= (2 x 150)/150 + 30/150

step 4 Simplify the above expression:
= 2 x 150/150 + 30/150
= 2 + 30/150
= 2 + 1 x 30/5 x 30
= 2 + 1/5
2 + 1/5 can be written as a mixed number 2 ¹/₅.


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

step 6 Simplify the above expression further:
= 2 + 0.2
= 2.2
330/150 = 2.2

Hence,
330/150 as a decimal is 2.2
330/150 as a mixed number is 2 ¹/₅