Question
Multiply and simplify: \( \frac{4 z}{y} \cdot \frac{7 y}{2 r} \) Be sure to use parentheses as needed when entering your answer
Ask by Watson Tran. in the United States
Mar 18,2025
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Answer
The simplified form is \( \frac{14z}{r} \).
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The Deep Dive
To multiply the fractions, you multiply the numerators together and the denominators together: \[ \frac{4z}{y} \cdot \frac{7y}{2r} = \frac{4z \cdot 7y}{y \cdot 2r} = \frac{28zy}{2yr} \] Now, simplify the fraction. The \(y\) in the numerator and denominator cancels out: \[ = \frac{28z}{2r} \] Next, simplify \( \frac{28}{2} = 14\): \[ = \frac{14z}{r} \] So, the final simplified answer is: \[ \frac{14z}{r} \]