205/45 as a Decimal and Mixed Number

205/45 as a decimal and mixed number expansion provides the detailed information about what is 205/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

205/45 as a Decimal
205/45 = 4.5556
Hence,
205/45 as a decimal equals to 4.5556
where,
205/45 is a given fraction,
The decimal expansion of 205/45 is 4.5556

205/45 as a Mixed Number
205/45 = (180 + 25)/45
= 180/45 + 25/45
= 4 + 25/45
= 4 25/45
205/45 = 4 25/45

Hence,
205/45 as a mixed number is 4 ²⁵/₄₅
where,
205/45 is a given fraction,
4 ²⁵/₄₅ is the mixed number representation of 205/45.

The below work with steps provide the detailed information about how to convert fraction 205/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 205/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 205/45.

step 2 The numerator is greater than the denominator of the fraction 205/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 205/45
= 180 + 25/45
= (4 x 45) + 25/45

step 3 Make the above expression as individual fractions:
= (4 x 45)/45 + 25/45

step 4 Simplify the above expression:
= 4 x 45/45 + 25/45
= 4 + 25/45
= 4 + 5 x 5/9 x 5
= 4 + 5/9
4 + 5/9 can be written as a mixed number 4 ⁵/₉.


step 5 Find the decimal equivalent for the fractional part 5/9 in the above expression:
= 4 + 0.5556
= 4.5556
205/45 = 4.5556

Hence,
205/45 as a decimal is 4.5556
205/45 as a mixed number is 4 ⁵/₉