The ratio compounded of 4:9 and duplicate ratio of 3:4 the triplicate ...
Ratio of 4:9 and duplicate ratio of 3:4
To find the duplicate ratio of 3:4, we need to multiply both terms by 2. So, the duplicate ratio of 3:4 is 6:8 or 3:4.
Now, we have two ratios: 4:9 and 3:4. To find the ratio compounded of these two ratios, we need to multiply the first term of the first ratio with the second term of the second ratio and vice versa.
So, the ratio compounded of 4:9 and 3:4 is (4 x 4):(9 x 3), which simplifies to 16:27.
Triplicate ratio of 2:3 and 9:7
To find the triplicate ratio of 2:3, we need to multiply both terms by 3. So, the triplicate ratio of 2:3 is 6:9 or 2:3.
To find the triplicate ratio of 9:7, we need to multiply both terms by 3. So, the triplicate ratio of 9:7 is 27:21 or 9:7.
Now, we have two ratios: 2:3 and 9:7. To find the ratio compounded of these two ratios, we need to multiply the first term of the first ratio with the second term of the second ratio and vice versa.
So, the ratio compounded of 2:3 and 9:7 is (2 x 7):(3 x 9), which simplifies to 14:27.
Ratio compounded of 16:27 and 14:27
To find the ratio compounded of two ratios, we need to multiply the first term of the first ratio with the second term of the second ratio and vice versa.
So, the ratio compounded of 16:27 and 14:27 is (16 x 14):(27 x 27), which simplifies to 224:729.
Therefore, the ratio compounded of 4:9 and duplicate ratio of 3:4, the triplicate ratio of 2:3 and 9:7 is 224:729.