200/90 as a Decimal and Mixed Number

200/90 as a decimal and mixed number expansion provides the detailed information about what is 200/90 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

200/90 as a Decimal
200/90 = 2.2222
Hence,
200/90 as a decimal equals to 2.2222
where,
200/90 is a given fraction,
The decimal expansion of 200/90 is 2.2222

200/90 as a Mixed Number
200/90 = (180 + 20)/90
= 180/90 + 20/90
= 2 + 20/90
= 2 20/90
200/90 = 2 20/90

Hence,
200/90 as a mixed number is 2 ²⁰/₉₀
where,
200/90 is a given fraction,
2 ²⁰/₉₀ is the mixed number representation of 200/90.

The below work with steps provide the detailed information about how to convert fraction 200/90 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 200/90

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 200/90.

step 2 The numerator is greater than the denominator of the fraction 200/90, so write the given fraction in the expression form in terms of denominator as like the below:
= 200/90
= 180 + 20/90
= (2 x 90) + 20/90

step 3 Make the above expression as individual fractions:
= (2 x 90)/90 + 20/90

step 4 Simplify the above expression:
= 2 x 90/90 + 20/90
= 2 + 20/90
= 2 + 2 x 10/9 x 10
= 2 + 2/9
2 + 2/9 can be written as a mixed number 2 ²/₉.


step 5 Find the decimal equivalent for the fractional part 2/9 in the above expression:
= 2 + 0.2222
= 2.2222
200/90 = 2.2222

Hence,
200/90 as a decimal is 2.2222
200/90 as a mixed number is 2 ²/₉