Type the missing number that makes these fractions equal: $$ \frac{2}{5}=\frac{16}{\square} $$ Submit

Question

UpStudy AI · Accepted Answer

To find the missing number that makes the fractions equal, we can set up the equation based on the given fractions:

$$
\frac{2}{5} = \frac{16}{x}
$$

where $$ x $$ is the missing number. We can cross-multiply to solve for $$ x $$:

$$
2 \cdot x = 5 \cdot 16
$$

Now, let's calculate $$ 5 \cdot 16 $$:

$$
5 \cdot 16 = 80
$$

So, we have:

$$
2x = 80
$$

Next, we divide both sides by 2 to solve for $$ x $$:

$$
x = \frac{80}{2} = 40
$$

Thus, the missing number is $$ 40 $$.

The complete equation is:

$$
\frac{2}{5} = \frac{16}{40}
$$

So, the answer is $$ 40 $$.
The missing number is 40.

Type the missing number that makes these fractions equal: \( \frac{2}{5}=\frac{16}{\square} \) Submit