What is the quotient when you divide −10/11 by −2/5?(1 point)
What is the quotient when you divide −10/11 by −2/5?(1 point)
help I might fail help I need answers
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 $\boxed{\frac{25}{11}}$.
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of -2/5 is -5/2.
Multiplying -10/11 by -5/2, we get:
(-10/11) * (-5/2) = (10/11) * (5/2)
Now, to multiply fractions, multiply the numerators together and the denominators together:
(10/11) * (5/2) = (10 * 5) / (11 * 2)
Multiplying the numerators and denominators, we get:
50/22
Now, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
50/22 = (25/11) * (2/2) = 25/11
Therefore, the quotient when you divide -10/11 by -2/5 is 25/11.
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,
$$\frac{-10}{11}\div \frac{-2}{5} = \frac{-10}{11}\cdot \frac{5}{-2} = -\frac{10\cdot 5}{11\cdot 2} = \boxed{-\frac{25}{11}}.$$