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 Question Help: \( \square \) Video \( \square \) Message instructor
Ask by Luna Santiago. in the United States
Mar 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified form is \( \frac{14z}{r} \).
Solution
Calculate or simplify the expression \( \frac{4z}{y} \cdot \frac{7y}{2r} \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{4z}{y}\times \frac{7y}{2r}\)
- step1: Reduce the fraction:
\(2z\times \frac{7}{r}\)
- step2: Multiply the terms:
\(\frac{2z\times 7}{r}\)
- step3: Multiply the terms:
\(\frac{14z}{r}\)
The simplified form of the expression \( \frac{4z}{y} \cdot \frac{7y}{2r} \) is \( \frac{14z}{r} \).
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Simplify this solution Mind Expander
To multiply the fractions, you multiply the numerators together and the denominators together: \[ \frac{4 z}{y} \cdot \frac{7 y}{2 r} = \frac{4 z \cdot 7 y}{y \cdot 2 r} \] This simplifies to: \[ \frac{28 zy}{2yr} \] Now, you can cancel out the \(y\) from the numerator and the denominator: \[ \frac{28 z}{2 r} \] Next, divide \(28\) by \(2\): \[ \frac{14 z}{r} \] So the final simplified answer is: \(\frac{14 z}{r}\)
