204/202 as a Decimal and Mixed Number

204/202 as a decimal and mixed number expansion provides the detailed information about what is 204/202 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

204/202 as a Decimal
204/202 = 1.0099
Hence,
204/202 as a decimal equals to 1.0099
where,
204/202 is a given fraction,
The decimal expansion of 204/202 is 1.0099

204/202 as a Mixed Number
204/202 = (202 + 2)/202
= 202/202 + 2/202
= 1 + 2/202
= 1 2/202
204/202 = 1 2/202

Hence,
204/202 as a mixed number is 1 ²/₂₀₂
where,
204/202 is a given fraction,
1 ²/₂₀₂ is the mixed number representation of 204/202.

The below work with steps provide the detailed information about how to convert fraction 204/202 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 204/202

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 204/202.

step 2 The numerator is greater than the denominator of the fraction 204/202, so write the given fraction in the expression form in terms of denominator as like the below:
= 204/202
= 202 + 2/202

step 3 Make the above expression as individual fractions:
= 202/202 + 2/202

step 4 Simplify the above expression:
= 1 x 202/202 + 2/202
= 1 + 2/202
= 1 + 1 x 2/101 x 2
= 1 + 1/101
1 + 1/101 can be written as a mixed number 1 ¹/₁₀₁.


step 5 Find the decimal equivalent for the fractional part 1/101 in the above expression:
= 1 + 0.0099
= 1.0099
204/202 = 1.0099

Hence,
204/202 as a decimal is 1.0099
204/202 as a mixed number is 1 ¹/₁₀₁