The problem asks whether the ratios $6:5$ and $18:15$ are equivalent.

ArithmeticRatiosProportionsFractionsSimplification
2025/4/17

1. Problem Description

The problem asks whether the ratios 6:56:5 and 18:1518:15 are equivalent.

2. Solution Steps

To determine if two ratios are equivalent, we can express them as fractions and compare the fractions.
The ratio 6:56:5 can be written as the fraction 65\frac{6}{5}.
The ratio 18:1518:15 can be written as the fraction 1815\frac{18}{15}.
Now we need to simplify 1815\frac{18}{15}. Both 18 and 15 are divisible by

3. $\frac{18}{15} = \frac{18 \div 3}{15 \div 3} = \frac{6}{5}$.

Since 65=65\frac{6}{5} = \frac{6}{5}, the two ratios are equivalent.

3. Final Answer

yes

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