303/45 as a Decimal and Mixed Number

303/45 as a decimal and mixed number expansion provides the detailed information about what is 303/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

303/45 as a Decimal
303/45 = 6.7333
Hence,
303/45 as a decimal equals to 6.7333
where,
303/45 is a given fraction,
The decimal expansion of 303/45 is 6.7333

303/45 as a Mixed Number
303/45 = (270 + 33)/45
= 270/45 + 33/45
= 6 + 33/45
= 6 33/45
303/45 = 6 33/45

Hence,
303/45 as a mixed number is 6 ³³/₄₅
where,
303/45 is a given fraction,
6 ³³/₄₅ is the mixed number representation of 303/45.

The below work with steps provide the detailed information about how to convert fraction 303/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 303/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 303/45.

step 2 The numerator is greater than the denominator of the fraction 303/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 303/45
= 270 + 33/45
= (6 x 45) + 33/45

step 3 Make the above expression as individual fractions:
= (6 x 45)/45 + 33/45

step 4 Simplify the above expression:
= 6 x 45/45 + 33/45
= 6 + 33/45
= 6 + 11 x 3/15 x 3
= 6 + 11/15
6 + 11/15 can be written as a mixed number 6 ¹¹/₁₅.


step 5 Find the decimal equivalent for the fractional part 11/15 in the above expression:
= 6 + 0.7333
= 6.7333
303/45 = 6.7333

Hence,
303/45 as a decimal is 6.7333
303/45 as a mixed number is 6 ¹¹/₁₅