The image contains a set of fraction multiplication problems. We need to solve the last problem, which is: $\frac{6}{14} \times \frac{8}{20}$. The final answer should be in the simplest form.

ArithmeticFraction MultiplicationSimplificationGreatest Common Divisor
2025/3/10

1. Problem Description

The image contains a set of fraction multiplication problems. We need to solve the last problem, which is: 614×820\frac{6}{14} \times \frac{8}{20}. The final answer should be in the simplest form.

2. Solution Steps

To multiply fractions, we multiply the numerators and the denominators separately.
So, 614×820=6×814×20=48280\frac{6}{14} \times \frac{8}{20} = \frac{6 \times 8}{14 \times 20} = \frac{48}{280}.
Now, we simplify the fraction by finding the greatest common divisor (GCD) of 48 and
2
8

0. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24,

4

8. The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140,

2
8

0. The GCD of 48 and 280 is

8. Divide both the numerator and denominator by 8:

48280=48÷8280÷8=635\frac{48}{280} = \frac{48 \div 8}{280 \div 8} = \frac{6}{35}.

3. Final Answer

635\frac{6}{35}

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