Subjects algebra

Simplify Ratio 2914Ac

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Simplify Ratio 2914Ac


1. The problem asks to find the ratio in its simplest form. 2. A ratio compares two quantities and is simplified by dividing both terms by their greatest common divisor (GCD). 3. To simplify a ratio $a:b$, find $\gcd(a,b)$. 4. Then divide both $a$ and $b$ by $\gcd(a,b)$ to get the simplest form $\frac{a}{\gcd(a,b)} : \frac{b}{\gcd(a,b)}$. 5. For example, if the ratio is $12:18$, the GCD of 12 and 18 is 6. 6. Dividing both terms by 6 gives $\frac{12}{6} : \frac{18}{6} = 2:3$. 7. Thus, the simplest form of the ratio $12:18$ is $2:3$. 8. Without specific numbers, this is the general method to simplify any ratio.