Question

multiplying the numerator and denominator of \\(\frac{8}{10}\\) by \\(\square\\) creates the equivalent fraction \\(\frac{40}{50}\\).

Explanation:

Step1: Let the number be \( x \)

We know that \( \frac{8\times x}{10\times x}=\frac{40}{50} \). We can solve for \( x \) by looking at the numerator: \( 8\times x = 40 \), so \( x=\frac{40}{8} \).

Step2: Calculate \( x \)

\( \frac{40}{8} = 5 \). We can check with the denominator: \( 10\times5 = 50 \), which matches the denominator of the equivalent fraction.

Answer:

5