33/15 as a Decimal and Mixed Number

33/15 as a decimal and mixed number expansion provides the detailed information about what is 33/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

33/15 as a Decimal
33/15 = 2.2
Hence,
33/15 as a decimal equals to 2.2
where,
33/15 is a given fraction,
The decimal expansion of 33/15 is 2.2

33/15 as a Mixed Number
33/15 = (30 + 3)/15
= 30/15 + 3/15
= 2 + 3/15
= 2 3/15
33/15 = 2 3/15

Hence,
33/15 as a mixed number is 2 ³/₁₅
where,
33/15 is a given fraction,
2 ³/₁₅ is the mixed number representation of 33/15.

The below work with steps provide the detailed information about how to convert fraction 33/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 33/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 33/15.

step 2 The numerator is greater than the denominator of the fraction 33/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 33/15
= 30 + 3/15
= (2 x 15) + 3/15

step 3 Make the above expression as individual fractions:
= (2 x 15)/15 + 3/15

step 4 Simplify the above expression:
= 2 x 15/15 + 3/15
= 2 + 3/15
= 2 + 1 x 3/5 x 3
= 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
33/15 = 2.2

Hence,
33/15 as a decimal is 2.2
33/15 as a mixed number is 2 ¹/₅