Simplifying a ratio of multivar Simplify. $$ \frac{32 a b c}{40 b c} $$

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To simplify the ratio $$\frac{32 a b c}{40 b c}$$, follow these steps:

1. **Factor the Coefficients:**
   - Simplify the numerical part $$\frac{32}{40}$$.
   - Both 32 and 40 are divisible by 8:
     $$
     \frac{32 \div 8}{40 \div 8} = \frac{4}{5}
     $$

2. **Cancel Common Variables:**
   - The variables $$b$$ and $$c$$ appear in both the numerator and the denominator. They can be canceled out:
     $$
     \frac{a \cancel{b} \cancel{c}}{\cancel{b} \cancel{c}} = a
     $$

3. **Combine the Simplified Parts:**
   - Multiply the simplified numerical coefficient by the remaining variable:
     $$
     \frac{4}{5} \times a = \frac{4a}{5}
     $$

**Final Simplified Form:**
$$
\frac{4a}{5}
$$
The simplified form of the ratio is $$ \frac{4a}{5} $$.

Simplifying a ratio of multivar
Simplify.

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