238/231 as a Decimal and Mixed Number

238/231 as a decimal and mixed number expansion provides the detailed information about what is 238/231 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

238/231 as a Decimal
238/231 = 1.0303
Hence,
238/231 as a decimal equals to 1.0303
where,
238/231 is a given fraction,
The decimal expansion of 238/231 is 1.0303

238/231 as a Mixed Number
238/231 = (231 + 7)/231
= 231/231 + 7/231
= 1 + 7/231
= 1 7/231
238/231 = 1 7/231

Hence,
238/231 as a mixed number is 1 ⁷/₂₃₁
where,
238/231 is a given fraction,
1 ⁷/₂₃₁ is the mixed number representation of 238/231.

The below work with steps provide the detailed information about how to convert fraction 238/231 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 238/231

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 238/231.

step 2 The numerator is greater than the denominator of the fraction 238/231, so write the given fraction in the expression form in terms of denominator as like the below:
= 238/231
= 231 + 7/231

step 3 Make the above expression as individual fractions:
= 231/231 + 7/231

step 4 Simplify the above expression:
= 1 x 231/231 + 7/231
= 1 + 7/231
= 1 + 1 x 7/33 x 7
= 1 + 1/33
1 + 1/33 can be written as a mixed number 1 ¹/₃₃.


step 5 Find the decimal equivalent for the fractional part 1/33 in the above expression:
= 1 + 0.0303
= 1.0303
238/231 = 1.0303

Hence,
238/231 as a decimal is 1.0303
238/231 as a mixed number is 1 ¹/₃₃