Subjects algebra

Printer Rate 1C3986

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1. **State the problem:** A printer prints $\frac{2}{3}$ of a page in $\frac{1}{8}$ of a minute. We want to find how many pages it prints in 1 full minute. 2. **Formula used:** To find the number of pages printed in 1 minute, use the unit rate formula: $$\text{Pages per minute} = \frac{\text{Pages printed}}{\text{Time in minutes}}$$ 3. **Calculate pages per minute:** $$\text{Pages per minute} = \frac{\frac{2}{3}}{\frac{1}{8}}$$ 4. **Divide the fractions:** $$\frac{\frac{2}{3}}{\frac{1}{8}} = \frac{2}{3} \times \frac{8}{1}$$ 5. **Multiply numerators and denominators:** $$= \frac{2 \times 8}{3 \times 1} = \frac{16}{3}$$ 6. **Simplify the fraction if needed:** $\frac{16}{3}$ is an improper fraction and can be written as a mixed number: $$\frac{16}{3} = 5 \frac{1}{3}$$ 7. **Interpretation:** The printer prints $\frac{16}{3}$ pages or approximately 5.33 pages in 1 minute. **Final answer:** $$\boxed{\frac{16}{3} \text{ pages per minute}}$$