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Evaluate: (21)/(60) = (x)/( 40)...

Evaluate: `(21)/(60) = (x)/( 40)`

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To solve the equation \( \frac{21}{60} = \frac{x}{40} \), we will use cross multiplication to find the value of \( x \). ### Step-by-Step Solution: 1. **Set up the equation**: We start with the equation \( \frac{21}{60} = \frac{x}{40} \). 2. **Cross multiply**: This means we will multiply the numerator of one fraction by the denominator of the other fraction. So, we have: \[ 21 \times 40 = 60 \times x \] 3. **Calculate \( 21 \times 40 \)**: \[ 21 \times 40 = 840 \] So, we can rewrite the equation as: \[ 840 = 60x \] 4. **Isolate \( x \)**: To find \( x \), we need to divide both sides by 60: \[ x = \frac{840}{60} \] 5. **Simplify \( \frac{840}{60} \)**: We can simplify this fraction. Both 840 and 60 can be divided by 60: \[ x = 14 \] 6. **Final answer**: Thus, the value of \( x \) is \( 14 \). ### Summary: The solution to the equation \( \frac{21}{60} = \frac{x}{40} \) is \( x = 14 \).
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