The image you uploaded shows the following mathematical expression:

$\frac{9}{16} + \frac{5}{7}$

Let's solve this step by step.

Step 1: Find a common denominator

The denominators are 16 and 7. The least common denominator (LCD) of 16 and 7 is the product of the two, since they are coprime:

$\text{LCD} = 16 \times 7 = 112$

Step 2: Convert each fraction to have the same denominator

We convert both fractions so that their denominators are 112.

For $\frac{9}{16}$, multiply both the numerator and denominator by 7:

$\frac{9}{16} = \frac{9 \times 7}{16 \times 7} = \frac{63}{112}$

For $\frac{5}{7}$, multiply both the numerator and denominator by 16:

$\frac{5}{7} = \frac{5 \times 16}{7 \times 16} = \frac{80}{112}$

Step 3: Add the fractions

Now that the denominators are the same, we can add the numerators:

$\frac{63}{112} + \frac{80}{112} = \frac{63 + 80}{112} = \frac{143}{112}$

Step 4: Simplify the result

$\frac{143}{112}$ is already in its simplest form, since 143 and 112 have no common factors other than 1.

Thus, the final answer is:

$\frac{143}{112}$

If you prefer this result as a mixed number, you can convert it:

$\frac{143}{112} = 1 \frac{31}{112}$

Let me know if you'd like further explanation or details!

Here are some related questions you might want to explore:

1. How do you find the least common denominator for different sets of fractions?
2. What are the steps to convert an improper fraction into a mixed number?
3. How can you simplify a fraction after addition?
4. What are some common methods to add fractions with unlike denominators?
5. How do you check if two fractions are in their simplest form?

Tip: When adding fractions, always look for the smallest common denominator to make calculations easier.