Question
Multiply and simplify: \( \frac{9 w}{d} \cdot \frac{7 d}{3 p} \) Be sure to use parentheses as needed when entering your answer. Question Help: Video \( D \) Post to forum
Ask by Gardner Watkins. in the United States
Feb 04,2025
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Tutor-Verified Answer
Answer
\(\frac{21w}{p}\)
Solution
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The Deep Dive
To multiply the fractions, you multiply the numerators together and the denominators together: \[ \frac{9 w}{d} \cdot \frac{7 d}{3 p} = \frac{9 w \cdot 7 d}{d \cdot 3 p} \] This simplifies to: \[ \frac{63 w d}{3 p d} \] You can then cancel out the \( d \) in the numerator and denominator: \[ = \frac{63 w}{3 p} \] Now, simplify \( \frac{63}{3} \): \[ = \frac{21 w}{p} \] So, the final simplified answer is: \[ \frac{21 w}{p} \]