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Mark against the correct answer 24.8=...

Mark against the correct answer
` 24.8=?`

A

`24(4)/(5)`

B

`24(2)/(5)`

C

`24(1)/(5)`

D

none of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question `24.8 = ?`, we need to convert the decimal number into a mixed fraction and identify the correct option from the given choices. ### Step-by-Step Solution: 1. **Understand the Decimal Number**: - The number given is 24.8. This can be separated into a whole number and a decimal part. 2. **Separate the Whole Number and Decimal**: - We can express 24.8 as: \[ 24.8 = 24 + 0.8 \] 3. **Convert the Decimal to a Fraction**: - The decimal 0.8 can be converted to a fraction. We know that: \[ 0.8 = \frac{8}{10} \] - We can simplify this fraction: \[ \frac{8}{10} = \frac{4}{5} \] 4. **Combine the Whole Number and Fraction**: - Now, we can write the mixed number: \[ 24.8 = 24 + \frac{4}{5} \] 5. **Express as a Mixed Fraction**: - The mixed fraction can also be written as: \[ 24.8 = 24 \frac{4}{5} \] 6. **Identify the Correct Option**: - Now, we look at the options provided: - Option A: \( 24 \times \frac{4}{5} \) - Option B: \( 24 \times \frac{2}{5} \) - Option C: \( 24 \times \frac{1}{5} \) - Option D: None of these - Since we have found that \( 24.8 = 24 \frac{4}{5} \), the correct answer is: \[ \text{Option A: } 24 \times \frac{4}{5} \] ### Final Answer: - The correct answer is **Option A: \( 24 \times \frac{4}{5} \)**.
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