Question
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Tutor-Verified Answer
Answer
The missing number is 2.
Solution
To solve the equation:
\[
\frac{1}{5} = \frac{\square}{10}
\]
Let's find the value of the missing number (let's denote it as \( x \)).
**Step 1: Set Up the Proportion**
\[
\frac{1}{5} = \frac{x}{10}
\]
**Step 2: Cross-Multiply**
Multiply the numerator of one fraction by the denominator of the other fraction:
\[
1 \times 10 = 5 \times x
\]
\[
10 = 5x
\]
**Step 3: Solve for \( x \)**
Divide both sides of the equation by 5 to isolate \( x \):
\[
x = \frac{10}{5} = 2
\]
**Answer:**
\[
\frac{1}{5} = \frac{2}{10}
\]
So, the missing number is **2**.
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Simplify this solution Bonus Knowledge
To solve for the value that goes in the square, you can cross-multiply. So, you'll have \(1 \times 10 = 5 \times \square\). This simplifies to \(10 = 5 \times \square\). To isolate \(\square\), divide both sides by 5, which gives you \(\square = 2\). Remember, fractions can often be simplified by scaling up or down; in this case, multiplying the denominator by 2 gives you a corresponding numerator that matches the value from the original fraction!
