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Answer
The simplified expression is \( \frac{x}{8z} \).
Solution
To simplify the expression (9xy)/(72yz), follow these steps:
1. Cancel the common factor y in the numerator and denominator:
(9x)/(72z)
2. Simplify the numerical fraction 9/72 by dividing both the numerator and the denominator by 9:
9 ÷ 9 = 1 and 72 ÷ 9 = 8, so the fraction becomes 1/8.
This leaves us with:
(1/8) * (x/z) = x/(8z)
Thus, the simplified expression is x/(8z).
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Simplify this solution Mind Expander
To simplify the expression \( \frac{9 x y}{72 y z} \), we can start by canceling the common terms in the numerator and the denominator. The \(y\) in the numerator and denominator cancels out, leaving us with: \[ \frac{9 x}{72 z} \] Next, we can simplify \( \frac{9}{72} \). Since both numbers are divisible by 9, we divide both the numerator and the denominator by 9: \[ \frac{1 x}{8 z} = \frac{x}{8 z} \] Thus, the simplified form of the expression is: \[ \frac{x}{8 z} \]
