The text in the image reads:

"Three quarters of a number added to two and a half of that number gives 13. Find the missing number."

We can translate this into a mathematical equation. Let's call the unknown number $x$.

• Three quarters of the number is $\frac{3}{4}x$.
• Two and a half of the number is $\frac{5}{2}x$.
• Together, they sum to 13.

So the equation is:

$\frac{3}{4}x + \frac{5}{2}x = 13$

To solve this, let's first find a common denominator for the fractions (the least common denominator between 4 and 2 is 4). Therefore:

$\frac{3}{4}x + \frac{10}{4}x = 13$

Now, combine the fractions:

$\frac{3x + 10x}{4} = 13$

Simplify the numerator:

$\frac{13x}{4} = 13$

Now, solve for $x$ by multiplying both sides by 4:

$13x = 52$

Finally, divide both sides by 13:

$x = 4$

Thus, the missing number is $x = 4$.

Would you like more details or have any further questions?

Here are five related questions you might want to explore:

1. How would you solve this equation if the fractions were more complex?
2. What if the equation involved subtraction instead of addition?
3. Can you solve a similar problem where three different fractions are involved?
4. How can we check if the solution is correct?
5. How would the equation change if the sum were a different number, say 20?

Tip: When solving equations with fractions, finding a common denominator is key to simplifying the problem effectively.