242/202 as a Decimal and Mixed Number

242/202 as a decimal and mixed number expansion provides the detailed information about what is 242/202 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

242/202 as a Decimal
242/202 = 1.198
Hence,
242/202 as a decimal equals to 1.198
where,
242/202 is a given fraction,
The decimal expansion of 242/202 is 1.198

242/202 as a Mixed Number
242/202 = (202 + 40)/202
= 202/202 + 40/202
= 1 + 40/202
= 1 40/202
242/202 = 1 40/202

Hence,
242/202 as a mixed number is 1 ⁴⁰/₂₀₂
where,
242/202 is a given fraction,
1 ⁴⁰/₂₀₂ is the mixed number representation of 242/202.

The below work with steps provide the detailed information about how to convert fraction 242/202 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 242/202

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 242/202.

step 2 The numerator is greater than the denominator of the fraction 242/202, so write the given fraction in the expression form in terms of denominator as like the below:
= 242/202
= 202 + 40/202

step 3 Make the above expression as individual fractions:
= 202/202 + 40/202

step 4 Simplify the above expression:
= 1 x 202/202 + 40/202
= 1 + 40/202
= 1 + 20 x 2/101 x 2
= 1 + 20/101
1 + 20/101 can be written as a mixed number 1 ²⁰/₁₀₁.


step 5 Find the decimal equivalent for the fractional part 20/101 in the above expression:
= 1 + 0.198
= 1.198
242/202 = 1.198

Hence,
242/202 as a decimal is 1.198
242/202 as a mixed number is 1 ²⁰/₁₀₁