242/231 as a Decimal and Mixed Number

242/231 as a decimal and mixed number expansion provides the detailed information about what is 242/231 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

242/231 as a Decimal
242/231 = 1.0476
Hence,
242/231 as a decimal equals to 1.0476
where,
242/231 is a given fraction,
The decimal expansion of 242/231 is 1.0476

242/231 as a Mixed Number
242/231 = (231 + 11)/231
= 231/231 + 11/231
= 1 + 11/231
= 1 11/231
242/231 = 1 11/231

Hence,
242/231 as a mixed number is 1 ¹¹/₂₃₁
where,
242/231 is a given fraction,
1 ¹¹/₂₃₁ is the mixed number representation of 242/231.

The below work with steps provide the detailed information about how to convert fraction 242/231 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 242/231

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 242/231.

step 2 The numerator is greater than the denominator of the fraction 242/231, so write the given fraction in the expression form in terms of denominator as like the below:
= 242/231
= 231 + 11/231

step 3 Make the above expression as individual fractions:
= 231/231 + 11/231

step 4 Simplify the above expression:
= 1 x 231/231 + 11/231
= 1 + 11/231
= 1 + 1 x 11/21 x 11
= 1 + 1/21
1 + 1/21 can be written as a mixed number 1 ¹/₂₁.


step 5 Find the decimal equivalent for the fractional part 1/21 in the above expression:
= 1 + 0.0476
= 1.0476
242/231 = 1.0476

Hence,
242/231 as a decimal is 1.0476
242/231 as a mixed number is 1 ¹/₂₁