Subjects algebra

Ratio Reduction 6F15A5

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Question: Write the ratio using fraction notation and reduce. HINT: Be sure to compare like units. $5$ to $35$
1. **State the problem:** We need to write the ratio $5$ to $35$ using fraction notation and then reduce it to simplest form. 2. **Write the ratio as a fraction:** The ratio $5$ to $35$ can be written as $$\frac{5}{35}$$. 3. **Simplify the fraction:** Find the greatest common divisor (GCD) of $5$ and $35$, which is $5$. 4. **Divide numerator and denominator by the GCD:** $$\frac{\cancel{5}^1}{\cancel{35}^7} = \frac{1}{7}$$ 5. **Final answer:** The reduced ratio is $$\frac{1}{7}$$. This means for every $1$ unit of the first quantity, there are $7$ units of the second quantity.