#6
Given:
[tex]\frac{2}{5}=\frac{8}{\square}[/tex]
Asked: Find the missing denominator.
Solution:
To find the missing denominator, we need to know what was multiplied to 2 that became 8.
We can then multiply the factor to 5 to get the missing denominator.
To find the factor, we will divide the numerators:
[tex]\begin{gathered} \frac{2}{5}=\frac{8}{\square} \\ \frac{8}{2}=4 \end{gathered}[/tex]
The factor is 4. Now we will multiply 4 to the denominator 5 to get the missing denominator.
[tex]\begin{gathered} \frac{2}{5}=\frac{8}{\square} \\ \frac{2}{5}\cdot\frac{4}{4}=\frac{8}{20} \end{gathered}[/tex]
ANSWER: 20
