Question
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:
\[
\frac{2}{5} = \frac{8}{20}
\]
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain
Simplify this solution
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!