Multiply 4/9

Question

by −3
. Write the answer as a mixed number in simplest form.(1 point)

Answer 1

To multiply $\frac{4}{9}$ by $-3$, we can rewrite $-3$ as a fraction:

$$-3=\frac{-3}{1}$$

Now we can multiply the two fractions:

$$\frac{4}{9}\times \frac{-3}{1}=\frac{4\times -3}{9\times 1}=\frac{-12}{9}$$

Next, we simplify $\frac{-12}{9}$. Both the numerator and denominator can be divided by their greatest common divisor, which is 3:

$$\frac{-12÷3}{9÷3}=\frac{-4}{3}$$

Now, we convert $\frac{-4}{3}$ into a mixed number. Since 4 is greater than 3, we can express it as:

$$-4÷3=-1\text{ with a remainder of }1$$

Thus, we can write:

$$\frac{-4}{3}=-1\frac{1}{3}$$

So, the answer as a mixed number in simplest form is:

$$\boxed{{\displaystyle -1\frac{1}{3}}}$$