What is the quotient when you divide −10/11 by −2/5?(1 point)

3 answers

To divide $\dfrac{-10}{11}$ by $\dfrac{-2}{5}$ means to multiply $\dfrac{-10}{11}$ by the reciprocal of $\dfrac{-2}{5}$.

The reciprocal of $\dfrac{-2}{5}$ is $\dfrac{5}{-2}$.

So,
$$\frac{-10}{11}\div \frac{-2}{5} = \frac{-10}{11}\cdot \frac{5}{-2} = -\frac{10\cdot 5}{11\cdot 2} = \boxed{-\frac{25}{11}}.$$
What is the quotient when you divide −10/11 by −2/5?(1 point)
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I apologize for the misunderstanding. To divide $\dfrac{-10}{11}$ by $\dfrac{-2}{5}$, we can simplify by multiplying the numerator and denominator by the reciprocal of the second fraction.

The reciprocal of $\dfrac{-2}{5}$ is $\dfrac{5}{-2}$.

We have: $$\frac{-10}{11} \div \frac{-2}{5} = \frac{-10}{11} \cdot \frac{5}{-2} = \frac{(-10)(5)}{(11)(-2)} = \frac{-50}{-22}$$

We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2: $$\frac{-50}{-22} = \frac{25}{11}$$

Therefore, the quotient is $\boxed{\frac{25}{11}}$.