Multiply 4/9 by −3 . Write the answer as a mixed number in simplest form.

Answer 1

To multiply $\frac{4}{9}$ by $-3$, we can rewrite $-3$ as a fraction, which is $-\frac{3}{1}$.

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

$$\frac{-12÷3}{9÷3}=\frac{-4}{3}$$

Now, we need to convert $-\frac{4}{3}$ into a mixed number.

Since $-\frac{4}{3}$ can be expressed as $-1\frac{1}{3}$ (because 4 divided by 3 is 1 with a remainder of 1), we can write:

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

Thus, the answer in mixed number form is

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