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To divide 405 in the ratio 3:12, we follow these steps:

### Step 1: Calculate the total parts in the ratio
The total parts in the ratio \( 3:12 \) is the sum of 3 and 12:
\[
3 + 12 = 15 \text{ parts}
\]

### Step 2: Find the value of each part
To find the value of each part, divide the total (405) by the total number of parts (15):
\[
\text{Value of each part} = \frac{405}{15} = 27
\]

### Step 3: Calculate the individual amounts
- The first part, corresponding to the ratio 3, is:
\[
3 \times 27 = 81
\]
- The second part, corresponding to the ratio 12, is:
\[
12 \times 27 = 324
\]

### Final answer
So, the division of 405 in the ratio 3:12 is:
\[
81 \text{ and } 324
\]

Would you like more details or have any questions?

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Here are 5 related questions:
1. How would you divide 500 in the ratio 4:6?
2. What is the sum of two numbers in the ratio 5:7 if the total is 720?
3. Can a ratio be expressed in its simplest form? How would you simplify 8:12?
4. If you reverse the numbers in a ratio, does the result change? Why or why not?
5. How do you solve a ratio when fractions are involved, like 1/2 : 3/4?

**Tip:** When solving ratios, always check if the numbers can be simplified before performing calculations.

Divide 405 in the ratio 3:12. Give your final answer in the form '... and ...'.

Learn how to divide 405 in the ratio 3:12 with a step-by-step solution. This problem covers key concepts like ratios and proportions, suitable for students in Grades 5-7.

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