Question

Fill in the following boxes:

$\frac{\square }{3}=\frac{10}{\square }=\frac{16}{24}=\frac{\square }{21}$

• A. $2$
• B. $15$, $14$

Answer 1

Step 1: In order to find the value of first blank, write $\frac{\square }{3}=\frac{16}{24}$ that can be rewritten as $\square \times 24=16\times 3$ then solve for $\square$.

$\square \times 24=48$

Step 2: Divide both sides by $24$ and solve for $\square$.

$\frac{\square \times 24}{24}=\frac{48}{24}$

$\square =2$

Step 3: In order to find the value of second blank, write $\frac{10}{\square }=\frac{16}{24}$ that can be rewritten as $10\times 24=16\times \square$ then solve for $\square$.

$240=16\times \square$

Step 4: Divide both sides by $16$ and solve for $\square$.

$\frac{240}{16}=\frac{16\times \square }{16}$

$15=\square$

Step 5: In order to find the value of third blank, write $\frac{16}{24}=\frac{\square }{21}$ that can be rewritten as $16\times 21=\square \times 24$ then solve for $\square$.

$336=\square \times 24$

Step 6: Divide both sides by $24$ and solve for $\square$.

$\frac{336}{24}=\frac{\square \times 24}{24}$

$14=\square$