200/198 as a Decimal and Mixed Number

200/198 as a decimal and mixed number expansion provides the detailed information about what is 200/198 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

200/198 as a Decimal
200/198 = 1.0101
Hence,
200/198 as a decimal equals to 1.0101
where,
200/198 is a given fraction,
The decimal expansion of 200/198 is 1.0101

200/198 as a Mixed Number
200/198 = (198 + 2)/198
= 198/198 + 2/198
= 1 + 2/198
= 1 2/198
200/198 = 1 2/198

Hence,
200/198 as a mixed number is 1 ²/₁₉₈
where,
200/198 is a given fraction,
1 ²/₁₉₈ is the mixed number representation of 200/198.

The below work with steps provide the detailed information about how to convert fraction 200/198 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 200/198

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 200/198.

step 2 The numerator is greater than the denominator of the fraction 200/198, so write the given fraction in the expression form in terms of denominator as like the below:
= 200/198
= 198 + 2/198

step 3 Make the above expression as individual fractions:
= 198/198 + 2/198

step 4 Simplify the above expression:
= 1 x 198/198 + 2/198
= 1 + 2/198
= 1 + 1 x 2/99 x 2
= 1 + 1/99
1 + 1/99 can be written as a mixed number 1 ¹/₉₉.


step 5 Find the decimal equivalent for the fractional part 1/99 in the above expression:
= 1 + 0.0101
= 1.0101
200/198 = 1.0101

Hence,
200/198 as a decimal is 1.0101
200/198 as a mixed number is 1 ¹/₉₉