Subjects algebra

Difference Quotient 05657C

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Question: The difference of the quotient of $2$ and $5$, and $4$
1. **State the problem:** We need to find the difference between the quotient of $2$ and $5$, and the number $4$. 2. **Write the quotient:** The quotient of $2$ and $5$ is $$\frac{2}{5}$$. 3. **Express the difference:** The difference between $$\frac{2}{5}$$ and $4$ is $$\frac{2}{5} - 4$$. 4. **Convert $4$ to a fraction with denominator $5$ to subtract:** $$4 = \frac{4 \times 5}{5} = \frac{20}{5}$$. 5. **Subtract the fractions:** $$\frac{2}{5} - \frac{20}{5} = \frac{2 - 20}{5} = \frac{-18}{5}$$. 6. **Final answer:** The difference is $$\boxed{-\frac{18}{5}}$$ or as a decimal, $$-3.6$$.