1. The problem is to understand how multiplying an equation by 60 removes denominators. 2. Suppose you have an equation with fractions, for example: $$\frac{a}{b} + \frac{c}{d} = e$$ 3. To eliminate the denominators, you multiply every term by the least common multiple (LCM) of the denominators. Here, the denominators are $b$ and $d$. 4. If the denominators are factors of 60, then 60 is the LCM. Multiplying the entire equation by 60 gives: $$60 \times \left(\frac{a}{b} + \frac{c}{d}\right) = 60 \times e$$ 5. Distribute 60: $$\frac{60a}{b} + \frac{60c}{d} = 60e$$ 6. Since 60 is divisible by $b$ and $d$, the fractions simplify: $$\frac{\cancel{60}a}{\cancel{b}} + \frac{\cancel{60}c}{\cancel{d}} = 60e$$ 7. This leaves an equation without denominators, making it easier to solve. In summary, multiplying by 60 removes denominators because 60 is a common multiple of the denominators, allowing the fractions to simplify to whole numbers.