https://file.aiquickdraw.com/mathbot/file/1727268531713yx2lrp8e.jpg

The expression in the image is:

\[
\frac{3}{4} \div 15\%
\]

Let’s break this down step by step.

### Step 1: Convert the percentage
First, convert \( 15\% \) to a decimal:
\[
15\% = \frac{15}{100} = 0.15
\]

### Step 2: Perform the division
Now we need to divide \( \frac{3}{4} \) by \( 0.15 \). Division by a number is the same as multiplying by its reciprocal. So, we multiply \( \frac{3}{4} \) by the reciprocal of \( 0.15 \), which is \( \frac{1}{0.15} = \frac{100}{15} \).

\[
\frac{3}{4} \div 0.15 = \frac{3}{4} \times \frac{100}{15}
\]

### Step 3: Simplify the expression
Now, multiply the fractions:

\[
\frac{3}{4} \times \frac{100}{15} = \frac{3 \times 100}{4 \times 15} = \frac{300}{60}
\]

### Step 4: Final calculation
Simplify \( \frac{300}{60} \):

\[
\frac{300}{60} = 5
\]

### Final Answer:
\[
\frac{3}{4} \div 15\% = 5
\]

Would you like more details or have any questions?

Here are some related questions:
1. What is the process to convert other percentages into fractions or decimals?
2. How does dividing by a percentage compare to multiplying by a fraction?
3. Can you explain how to simplify fractions in different situations?
4. What other operations can be done with fractions and percentages?
5. How do you find the reciprocal of a number, and why is it useful in division?

**Tip:** When dividing by a percentage, always convert the percentage into a decimal first to simplify the calculation.

Understand how to divide the fraction 3/4 by 15% in this step-by-step guide. This problem illustrates key concepts like converting percentages to decimals and dividing fractions by using reciprocals. Suitable for students in Grades 5-7.

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