https://file.aiquickdraw.com/mathbot/file/1729287191312grhq8sup.jpg

The image shows the following mathematical expression:

\[
\frac{21}{6} + \frac{5}{16}
\]

Let's simplify and evaluate the sum step by step.

---

### Step 1: Find the least common denominator (LCD)
The denominators are \(6\) and \(16\). The least common denominator of \(6\) and \(16\) is:

\[
\text{LCD}(6, 16) = 48
\]

---

### Step 2: Rewrite each fraction with the LCD as the new denominator
- For \(\frac{21}{6}\):
  \[
  \frac{21}{6} = \frac{21 \times 8}{6 \times 8} = \frac{168}{48}
  \]

- For \(\frac{5}{16}\):
  \[
  \frac{5}{16} = \frac{5 \times 3}{16 \times 3} = \frac{15}{48}
  \]

---

### Step 3: Add the two fractions
Now that both fractions have the same denominator, add their numerators:

\[
\frac{168}{48} + \frac{15}{48} = \frac{168 + 15}{48} = \frac{183}{48}
\]

---

### Step 4: Simplify the fraction
We now simplify \(\frac{183}{48}\). Find the greatest common divisor (GCD) of 183 and 48, which is 3:

\[
\frac{183}{48} = \frac{183 \div 3}{48 \div 3} = \frac{61}{16}
\]

---

### Step 5: Express as a mixed number (optional)
\[
\frac{61}{16} = 3 \frac{13}{16}
\]

---

### Final Answer
\[
\frac{21}{6} + \frac{5}{16} = \frac{61}{16} \quad \text{or} \quad 3 \frac{13}{16}
\]

---

Would you like further clarification or have any other questions?

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Here are 5 related questions:
1. How do you determine the least common denominator (LCD) for fractions?
2. What is the process for converting improper fractions to mixed numbers?
3. How can you identify when a fraction is fully simplified?
4. What methods can you use to add fractions with different denominators quickly?
5. How do you multiply and divide fractions efficiently?

**Tip:** When working with fractions, it helps to simplify early when possible to reduce calculations later!

What is the sum of the fractions 21/6 + 5/16?

Learn how to add the fractions 21/6 and 5/16 with a step-by-step breakdown, including finding the least common denominator and simplifying the result to a mixed number. Perfect for students in Grades 6-8.

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