Questions: Complete the multiplication to make twentieths. = ((1/2 + 1/5) / (2 × square)) + ((1 × square) / (5 × square))

Complete the multiplication to make twentieths. = ((1/2 + 1/5) / (2 × square)) + ((1 × square) / (5 × square))
Transcript text: Complete the multiplication to make twentieths. \[ =\left(\frac{\frac{1}{2}+\frac{1}{5}}{2 \times \square}\right)+\left(\frac{1 \times \square}{5 \times \square}\right) \]
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Solution

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Solution Steps

Step 1: Identify the Common Denominator

To complete the multiplication to make twentieths, we first identify the common denominator for the fractions involved. The common denominator is \(20\).

Step 2: Determine the Value of \(\square\)

Next, we determine the value of \(\square\) that will make the denominators equal to \(20\). We find that: \[ \square = \frac{20}{5} = 4 \]

Step 3: Perform the Arithmetic Operations

Now, we substitute \(\square\) back into the expression and perform the arithmetic operations: \[ \left(\frac{\frac{1}{2}+\frac{1}{5}}{2 \times 4}\right)+\left(\frac{1 \times 4}{5 \times 4}\right) \] Calculating this gives us: \[ \text{Result} = 0.2875 \]

Final Answer

The value of \(\square\) is \(4\) and the result of the expression is \(0.2875\). Thus, we can summarize the final answer as: \[ \boxed{\square = 4, \text{ Result} = 0.2875} \]

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