330/45 as a Decimal and Mixed Number

330/45 as a decimal and mixed number expansion provides the detailed information about what is 330/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

330/45 as a Decimal
330/45 = 7.3333
Hence,
330/45 as a decimal equals to 7.3333
where,
330/45 is a given fraction,
The decimal expansion of 330/45 is 7.3333

330/45 as a Mixed Number
330/45 = (315 + 15)/45
= 315/45 + 15/45
= 7 + 15/45
= 7 15/45
330/45 = 7 15/45

Hence,
330/45 as a mixed number is 7 ¹⁵/₄₅
where,
330/45 is a given fraction,
7 ¹⁵/₄₅ is the mixed number representation of 330/45.

The below work with steps provide the detailed information about how to convert fraction 330/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 330/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 330/45.

step 2 The numerator is greater than the denominator of the fraction 330/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 330/45
= 315 + 15/45
= (7 x 45) + 15/45

step 3 Make the above expression as individual fractions:
= (7 x 45)/45 + 15/45

step 4 Simplify the above expression:
= 7 x 45/45 + 15/45
= 7 + 15/45
= 7 + 1 x 15/3 x 15
= 7 + 1/3
7 + 1/3 can be written as a mixed number 7 ¹/₃.


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 7 + 0.3333
= 7.3333
330/45 = 7.3333

Hence,
330/45 as a decimal is 7.3333
330/45 as a mixed number is 7 ¹/₃