Question

Fill in the following blanks: $\frac{12}{20}=\frac{\boxed{}}{5}=\frac{9}{\boxed{}}$

Answer 1

$\frac{12}{20}=\frac{\left(\right)}{5}=\frac{9}{\left(\right)}$
Let $\frac{12}{20}=\frac{\left(x\right)}{5}=\frac{9}{\left(y\right)}$.
Then, $\frac{12}{20}=\frac{\left(x\right)}{5}$ ⇒ 12 $\times$ 5 = 20x ⇒ x = $\frac{12\times 5}{20}$ = 3.
Also, $\frac{12}{20}=\frac{9}{\left(y\right)}$ ⇒ 12y = 20 $\times$ 9 ⇒ y = $\frac{20\times 9}{12}$ = 15.
Therefore, $\frac{12}{20}=\frac{\left(3\right)}{5}=\frac{9}{\left(15\right)}$.