Question

Fill in the following boxes:

$\frac{1}{4}=\frac{2}{\square }=\frac{\square }{12}=\frac{4}{\square }$

• A. $8$
• B. $3$, $16$

Answer 1

Step 1: In order to find the value of first blank, write $\frac{1}{4}=\frac{2}{\square }$ that can be rewritten as $1\times \square =2\times 4$ then solve for $\square$.

$\square =8$

Step 2: In order to find the value of second blank, write $\frac{1}{4}=\frac{\square }{12}$ that can be rewritten as $1\times 12=4\times \square$ then solve for $\square$.

$12=4\times \square$

Step 3: Divide both sides by $4$ and solve for $\square$.

$\frac{12}{4}=\frac{4}{4}\times \square$

$3=\square$

Step 4: In order to find the value of third blank, write $\frac{1}{4}=\frac{4}{\square }$ that can be rewritten as $1\times \square =4\times 4$ then solve for $\square$.

$\square =16$