45/33 as a Decimal and Mixed Number

45/33 as a decimal and mixed number expansion provides the detailed information about what is 45/33 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

45/33 as a Decimal
45/33 = 1.3636
Hence,
45/33 as a decimal equals to 1.3636
where,
45/33 is a given fraction,
The decimal expansion of 45/33 is 1.3636

45/33 as a Mixed Number
45/33 = (33 + 12)/33
= 33/33 + 12/33
= 1 + 12/33
= 1 12/33
45/33 = 1 12/33

Hence,
45/33 as a mixed number is 1 ¹²/₃₃
where,
45/33 is a given fraction,
1 ¹²/₃₃ is the mixed number representation of 45/33.

The below work with steps provide the detailed information about how to convert fraction 45/33 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 45/33

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 45/33.

step 2 The numerator is greater than the denominator of the fraction 45/33, so write the given fraction in the expression form in terms of denominator as like the below:
= 45/33
= 33 + 12/33

step 3 Make the above expression as individual fractions:
= 33/33 + 12/33

step 4 Simplify the above expression:
= 1 x 33/33 + 12/33
= 1 + 12/33
= 1 + 4 x 3/11 x 3
= 1 + 4/11
1 + 4/11 can be written as a mixed number 1 ⁴/₁₁.


step 5 Find the decimal equivalent for the fractional part 4/11 in the above expression:
= 1 + 0.3636
= 1.3636
45/33 = 1.3636

Hence,
45/33 as a decimal is 1.3636
45/33 as a mixed number is 1 ⁴/₁₁