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The problem asks to simplify the fraction $\frac{10}{15}$.

ArithmeticFractionsSimplificationGreatest Common Divisor (GCD)
2025/4/26

1. Problem Description

The problem asks to simplify the fraction 1015\frac{10}{15}.

2. Solution Steps

To simplify the fraction 1015\frac{10}{15}, we need to find the greatest common divisor (GCD) of the numerator (10) and the denominator (15).
The factors of 10 are 1, 2, 5, and
1

0. The factors of 15 are 1, 3, 5, and

1

5. The greatest common divisor of 10 and 15 is

5.
We can divide both the numerator and the denominator by the GCD, which is

5. $\frac{10}{15} = \frac{10 \div 5}{15 \div 5} = \frac{2}{3}$.

3. Final Answer

The simplified fraction is 23\frac{2}{3}.

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