Question
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What is the missing number in these equivalent fractions? \[ \frac{2}{5}=\frac{?}{20} \]

Ask by Lane West. in Belgium
Feb 03,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The missing number is 8.

Solution

To find the missing number in the equivalent fractions: \[ \frac{2}{5} = \frac{?}{20} \] Follow these steps: 1. **Set Up the Proportion:** Let the missing number be \( x \). Then you can write the equation as: \[ \frac{2}{5} = \frac{x}{20} \] 2. **Solve for \( x \):** To find \( x \), you can cross-multiply: \[ 2 \times 20 = 5 \times x \] \[ 40 = 5x \] 3. **Isolate \( x \):** Divide both sides of the equation by 5: \[ \frac{40}{5} = x \] \[ 8 = x \] 4. **Conclusion:** The missing number is **8**. Therefore, the equivalent fractions are: \[ \frac{2}{5} = \frac{8}{20} \]

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Bonus Knowledge

To find the missing number, you can cross-multiply. Multiply 2 (the numerator of the first fraction) by 20 (the denominator of the second fraction) to get 40. Then, divide that result by 5 (the denominator of the first fraction). So, \( \frac{2}{5} = \frac{40 \div 5}{20} = \frac{8}{20} \). Therefore, the missing number is 8! Or, you can think of it simply: If 5 needs to be multiplied by 4 to get 20, then you should also multiply the numerator (2) by 4, which gives you 8. So the answer is 8! It's as easy as pie!

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