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\( \frac{5}{\square}=1 \quad \) (b) \( \quad \frac{2}{1}=\square \)

Ask by Bartlett Ayala. in the United States
Feb 05,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

\( \square = 5 \) and \( \square = 2 \).

Solution

Let's solve each part of the problem by finding the value that makes the equation true. ### (a) \( \frac{5}{\square} = 1 \) To find the value of the square (\(\square\)), we can set up the equation: \[ \frac{5}{\square} = 1 \] Multiply both sides by \(\square\) to isolate 5: \[ 5 = 1 \times \square \] \[ \square = 5 \] **Solution:** \(\square = 5\) ### (b) \( \frac{2}{1} = \square \) Here, the equation is: \[ \frac{2}{1} = \square \] Simplify the left side: \[ 2 = \square \] **Solution:** \(\square = 2\) --- **Final Answers:** - **(a)** \( \boxed{5} \) - **(b)** \( \boxed{2} \)

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The Deep Dive

To solve the first equation \( \frac{5}{\square}=1 \), simply recognize that for any fraction to equal 1, the numerator must be equal to the denominator. Therefore, \( \square = 5 \). For the second equation \( \frac{2}{1}=\square \), we see that if we divide 2 by 1, the result is simply 2. Hence, \( \square = 2 \). So, we have \( 5 \) for the first and \( 2 \) for the second!

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