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To calculate \( \frac{4}{9} \times -3 \), you can multiply the fraction by the whole number:
\[ \frac{4}{9} \times -3 = \frac{4 \times -3}{9} = \frac{-12}{9} \]
Next, simplify the fraction \( \frac{-12}{9} \):
\[ \frac{-12}{9} = \frac{-4}{3} \]
Thus, \( \frac{4}{9} \times -3 = -\frac{4}{3} \).
No problem! Let’s break it down step by step.
You want to multiply \( \frac{4}{9} \) by \(-3\).
Convert \(-3\) to a fraction: \(-3\) can be written as \(-\frac{3}{1}\).
Multiplication of fractions: When multiplying fractions, you multiply the numerators together and the denominators together.
\[ \frac{4}{9} \times -\frac{3}{1} = \frac{4 \times -3}{9 \times 1} \]
Calculate the multiplication: \[ 4 \times -3 = -12 \] \[ 9 \times 1 = 9 \] So, you get: \[ \frac{-12}{9} \]
Simplify the fraction: The fraction \(\frac{-12}{9}\) can be simplified. Both numbers can be divided by 3: \[ \frac{-12 \div 3}{9 \div 3} = \frac{-4}{3} \]
So, the final answer is: \[ -\frac{4}{3} \]
This means that \( \frac{4}{9} \) times \(-3\) equals \(-\frac{4}{3}\). If you have any further questions or need more clarification, feel free to ask!
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