204/45 as a Decimal and Mixed Number

204/45 as a decimal and mixed number expansion provides the detailed information about what is 204/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

204/45 as a Decimal
204/45 = 4.5333
Hence,
204/45 as a decimal equals to 4.5333
where,
204/45 is a given fraction,
The decimal expansion of 204/45 is 4.5333

204/45 as a Mixed Number
204/45 = (180 + 24)/45
= 180/45 + 24/45
= 4 + 24/45
= 4 24/45
204/45 = 4 24/45

Hence,
204/45 as a mixed number is 4 ²⁴/₄₅
where,
204/45 is a given fraction,
4 ²⁴/₄₅ is the mixed number representation of 204/45.

The below work with steps provide the detailed information about how to convert fraction 204/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 204/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 204/45.

step 2 The numerator is greater than the denominator of the fraction 204/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 204/45
= 180 + 24/45
= (4 x 45) + 24/45

step 3 Make the above expression as individual fractions:
= (4 x 45)/45 + 24/45

step 4 Simplify the above expression:
= 4 x 45/45 + 24/45
= 4 + 24/45
= 4 + 8 x 3/15 x 3
= 4 + 8/15
4 + 8/15 can be written as a mixed number 4 ⁸/₁₅.


step 5 Find the decimal equivalent for the fractional part 8/15 in the above expression:
= 4 + 0.5333
= 4.5333
204/45 = 4.5333

Hence,
204/45 as a decimal is 4.5333
204/45 as a mixed number is 4 ⁸/₁₅