300/45 as a Decimal and Mixed Number

300/45 as a decimal and mixed number expansion provides the detailed information about what is 300/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

300/45 as a Decimal
300/45 = 6.6667
Hence,
300/45 as a decimal equals to 6.6667
where,
300/45 is a given fraction,
The decimal expansion of 300/45 is 6.6667

300/45 as a Mixed Number
300/45 = (270 + 30)/45
= 270/45 + 30/45
= 6 + 30/45
= 6 30/45
300/45 = 6 30/45

Hence,
300/45 as a mixed number is 6 ³⁰/₄₅
where,
300/45 is a given fraction,
6 ³⁰/₄₅ is the mixed number representation of 300/45.

The below work with steps provide the detailed information about how to convert fraction 300/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/45.

step 2 The numerator is greater than the denominator of the fraction 300/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/45
= 270 + 30/45
= (6 x 45) + 30/45

step 3 Make the above expression as individual fractions:
= (6 x 45)/45 + 30/45

step 4 Simplify the above expression:
= 6 x 45/45 + 30/45
= 6 + 30/45
= 6 + 2 x 15/3 x 15
= 6 + 2/3
6 + 2/3 can be written as a mixed number 6 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 6 + 0.6667
= 6.6667
300/45 = 6.6667

Hence,
300/45 as a decimal is 6.6667
300/45 as a mixed number is 6 ²/₃