Question

Fill in the following boxes:

$\frac{2}{\square }=\frac{4}{10}=\frac{\square }{25}=\frac{8}{\square }$

• A. $5$
• B. $10$, $20$

Answer 1

Step 1: In order to find the value of first blank, write $\frac{2}{\square }=\frac{4}{10}$ that can be rewritten as $2\times 10=4\times \square$ then solve for $\square$.

$20=4\times \square$

Step 2: Divide both sides by $4$ and solve for $\square$.

$\frac{20}{4}=\frac{4}{4}\times \square$

$5=\square$

Step 3: In order to find the value of second blank, write $\frac{4}{10}=\frac{\square }{25}$ that can be rewritten as $4\times 25=10\times \square$ then solve for $\square$.

$100=10\times \square$

Step 4: Divide both sides by $10$ and solve for $\square$.

$\frac{100}{10}=\frac{10}{10}\times \square$

$10=\square$

Step 5: In order to find the value of third blank, write $\frac{4}{10}=\frac{8}{\square }$ that can be rewritten as $4\times \square =8\times 10$ then solve for $\square$.

$4\times \square =80$

Step 6: Divide both sides by $4$ and solve for $\square$.

$\frac{4}{4}\times \square =\frac{80}{4}$

$\square =20$