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Replace 'square' in each of the followin...

Replace `'square'` in each of the following by the correct number :
`2/3=square/15`

A

`9`

B

`10`

C

`8`

D

`7`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( \frac{2}{3} = \frac{\text{sqaure}}{15} \), we need to find the value that replaces 'square'. ### Step-by-Step Solution: 1. **Set up the equation**: We start with the equation: \[ \frac{2}{3} = \frac{\text{square}}{15} \] 2. **Cross-multiply**: To eliminate the fractions, we can cross-multiply: \[ 2 \times 15 = 3 \times \text{square} \] This simplifies to: \[ 30 = 3 \times \text{square} \] 3. **Solve for 'square'**: Now, we need to isolate 'square'. We can do this by dividing both sides by 3: \[ \text{square} = \frac{30}{3} \] Simplifying this gives: \[ \text{square} = 10 \] 4. **Final answer**: Therefore, the value that replaces 'square' is: \[ \text{square} = 10 \]
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