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Joseph had x number of apples. He distri...

Joseph had x number of apples. He distributed `(1)/(3)rd` of the apples to his friends. How many apples are left with him?

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To find out how many apples Joseph has left after distributing one-third of them to his friends, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the total number of apples**: Joseph has \( x \) number of apples. 2. **Calculate the number of apples distributed**: Joseph distributed one-third of his apples. This can be expressed mathematically as: \[ \text{Number of apples distributed} = \frac{1}{3} \times x = \frac{x}{3} \] 3. **Calculate the number of apples left**: To find out how many apples Joseph has left, we subtract the number of apples distributed from the total number of apples: \[ \text{Number of apples left} = x - \frac{x}{3} \] 4. **Simplify the expression**: To simplify \( x - \frac{x}{3} \), we need to find a common denominator. The common denominator for 1 and 3 is 3. Therefore, we can rewrite \( x \) as \( \frac{3x}{3} \): \[ \text{Number of apples left} = \frac{3x}{3} - \frac{x}{3} \] Now, combine the fractions: \[ \text{Number of apples left} = \frac{3x - x}{3} = \frac{2x}{3} \] 5. **Final answer**: Thus, the number of apples left with Joseph is: \[ \frac{2x}{3} \] ### Summary: Joseph has \( \frac{2x}{3} \) apples left after distributing one-third of his apples to his friends.
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