The Ratio Compounded of 4:9

When we talk about the ratio compounded of 4:9, it means that the ratio is derived from combining the two given values in a specific way. In this case, the ratio is compounded by adding the two values together.

To find the compounded ratio, we add the first value (4) to the second value (9) to get a total of 13. So the compounded ratio is 4:9:13. This means that for every 4 units of the first value, there are 9 units of the second value and a total of 13 units overall.

The Duplicate Ratio of 3:4

The duplicate ratio is obtained by doubling the values of the given ratio. In this case, the given ratio is 3:4. To find the duplicate ratio, we multiply both values by 2.

Doubling the first value (3) gives us 6, and doubling the second value (4) gives us 8. So the duplicate ratio of 3:4 is 6:8.

Comparing the Compounded Ratio and the Duplicate Ratio

To compare the compounded ratio of 4:9:13 and the duplicate ratio of 6:8, we can simplify both ratios by dividing each value by their respective greatest common divisor (GCD).

For the compounded ratio of 4:9:13, the GCD of 4 and 9 is 1, so we divide each value by 1 to get the simplified ratio of 4:9:13.

For the duplicate ratio of 6:8, the GCD of 6 and 8 is 2, so we divide each value by 2 to get the simplified ratio of 3:4.

Conclusion

In conclusion, the ratio compounded of 4:9:13 is obtained by adding the two given values together, resulting in a total of 13. On the other hand, the duplicate ratio of 3:4 is obtained by doubling the values of the given ratio. While the compounded ratio and the duplicate ratio have different values, they represent different ways of combining and multiplying the given values.