Multiply 4/9 by -3 write the answer as a mixed number in simplest form

Answer 1

To multiply \( \frac{4}{9} \) by \(-3\), follow these steps:

1. Rewrite \(-3\) as a fraction: \(-3 = \frac{-3}{1}\).
2. Multiply the fractions:

\[ \frac{4}{9} \times \frac{-3}{1} = \frac{4 \times -3}{9 \times 1} = \frac{-12}{9}. \]

3. Simplify \(\frac{-12}{9}\). The greatest common divisor of 12 and 9 is 3.

\[ \frac{-12 \div 3}{9 \div 3} = \frac{-4}{3}. \]

4. Convert \(\frac{-4}{3}\) to a mixed number. Since \(-4\) divided by \(3\) equals \(-1\) with a remainder of \(-1\), we can express this as:

\[ -1 \frac{1}{3}. \]

Therefore, the final answer is:

\[ \boxed{-1 \frac{1}{3}}. \]