Divide. Write your answer as a fraction or mixed number in simplest form.

Question

- 5/12 divided by ( - 25/18 )

Answer 1

To divide $-\frac{5}{12}$ by $-\frac{25}{18}$, you can multiply by the reciprocal of the divisor.

The reciprocal of $-\frac{25}{18}$ is $-\frac{18}{25}$.

So, we have:

$$-\frac{5}{12}÷-\frac{25}{18}=-\frac{5}{12}\times -\frac{18}{25}$$

The negatives cancel each other out, so we have:

$$\frac{5}{12}\times \frac{18}{25}$$

Now we multiply the numerators and the denominators:

$$\frac{5\times 18}{12\times 25}=\frac{90}{300}$$

Next, we simplify $\frac{90}{300}$ by finding the greatest common divisor (GCD) of 90 and 300. The GCD is 90.

Now divide both the numerator and the denominator by their GCD:

$$\frac{90÷90}{300÷90}=\frac{1}{3.33}=\frac{1}{3}$$

Thus, the final answer is:

$$\frac{3}{10}$$

So, the simplest form of $-\frac{5}{12}$ divided by $-\frac{25}{18}$ is

$\frac{3}{10}$.