To solve \( \frac{9}{16} + \frac{36}{27} \), let's follow these steps:

### Step 1: Simplify the fractions if possible.

- \( \frac{36}{27} \) can be simplified:
  \[
  \frac{36}{27} = \frac{36 \div 9}{27 \div 9} = \frac{4}{3}
  \]
So, the expression becomes:
\[
\frac{9}{16} + \frac{4}{3}
\]

### Step 2: Find the least common denominator (LCD).
The denominators are 16 and 3. The least common denominator is \( 16 \times 3 = 48 \).

### Step 3: Convert both fractions to have the same denominator.

- Convert \( \frac{9}{16} \) to have denominator 48:
  \[
  \frac{9}{16} = \frac{9 \times 3}{16 \times 3} = \frac{27}{48}
  \]

- Convert \( \frac{4}{3} \) to have denominator 48:
  \[
  \frac{4}{3} = \frac{4 \times 16}{3 \times 16} = \frac{64}{48}
  \]

### Step 4: Add the fractions.
\[
\frac{27}{48} + \frac{64}{48} = \frac{27 + 64}{48} = \frac{91}{48}
\]

So, \( \frac{9}{16} + \frac{4}{3} = \frac{91}{48} \).

Would you like more details or further clarification?

Here are 5 related questions:
1. How do you find the least common denominator of two fractions?
2. How do you simplify fractions with large numbers?
3. What is an improper fraction, and how can you convert it to a mixed number?
4. How do you add fractions with unlike denominators in general?
5. Can you subtract fractions using the same method?

**Tip:** Always simplify fractions before performing operations to make calculations easier!

Learn how to add fractions like 9/16 and 36/27 by simplifying them and finding a common denominator. This guide covers fraction addition and simplification techniques, suitable for students in Grades 5-7.

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