285/45 as a Decimal and Mixed Number

285/45 as a decimal and mixed number expansion provides the detailed information about what is 285/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

285/45 as a Decimal
285/45 = 6.3333
Hence,
285/45 as a decimal equals to 6.3333
where,
285/45 is a given fraction,
The decimal expansion of 285/45 is 6.3333

285/45 as a Mixed Number
285/45 = (270 + 15)/45
= 270/45 + 15/45
= 6 + 15/45
= 6 15/45
285/45 = 6 15/45

Hence,
285/45 as a mixed number is 6 ¹⁵/₄₅
where,
285/45 is a given fraction,
6 ¹⁵/₄₅ is the mixed number representation of 285/45.

The below work with steps provide the detailed information about how to convert fraction 285/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 285/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 285/45.

step 2 The numerator is greater than the denominator of the fraction 285/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 285/45
= 270 + 15/45
= (6 x 45) + 15/45

step 3 Make the above expression as individual fractions:
= (6 x 45)/45 + 15/45

step 4 Simplify the above expression:
= 6 x 45/45 + 15/45
= 6 + 15/45
= 6 + 1 x 15/3 x 15
= 6 + 1/3
6 + 1/3 can be written as a mixed number 6 ¹/₃.


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 6 + 0.3333
= 6.3333
285/45 = 6.3333

Hence,
285/45 as a decimal is 6.3333
285/45 as a mixed number is 6 ¹/₃