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The ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of 1 : 3, sub duplicate ratio of 81 : 256 and sub-triplicate ratio of 125 : 512 is?
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The ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of ...
Ratio compounded of duplicate ratio, triplicate ratio, sub-duplicate ratio, and sub-triplicate ratio
The given ratios are:
- Duplicate ratio of 4 : 5
- Triplicate ratio of 1 : 3
- Sub duplicate ratio of 81 : 256
- Sub-triplicate ratio of 125 : 512
To find the ratio compounded of these ratios, we need to first simplify each ratio by finding their prime factors.
Prime factors of the duplicate ratio 4 : 5
4 : 5 can be written as 2 × 2 : 5. Therefore, its prime factors are 2 and 5.
Prime factors of the triplicate ratio 1 : 3
1 : 3 can be written as 1 : 3 × 1. Therefore, its prime factors are 1 and 3.
Prime factors of the sub-duplicate ratio 81 : 256
81 : 256 can be written as 3^4 : 2^8. Therefore, its prime factors are 2 and 3.
Prime factors of the sub-triplicate ratio 125 : 512
125 : 512 can be written as 5^3 : 2^9. Therefore, its prime factors are 2 and 5.
Next, we need to combine the prime factors of each ratio to form the compounded ratio.
Compounded ratio
The compounded ratio is the product of all the prime factors obtained from each ratio. Therefore, the compounded ratio is:
2 × 2 × 5 × 1 × 3 × 2 × 3 × 5 × 2 × 3 = 54000
Therefore, the ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of 1 : 3, sub duplicate ratio of 81 : 256 and sub-triplicate ratio of 125 : 512 is 54000 : 1.
The given ratios are:
- Duplicate ratio of 4 : 5
- Triplicate ratio of 1 : 3
- Sub duplicate ratio of 81 : 256
- Sub-triplicate ratio of 125 : 512
To find the ratio compounded of these ratios, we need to first simplify each ratio by finding their prime factors.
Prime factors of the duplicate ratio 4 : 5
4 : 5 can be written as 2 × 2 : 5. Therefore, its prime factors are 2 and 5.
Prime factors of the triplicate ratio 1 : 3
1 : 3 can be written as 1 : 3 × 1. Therefore, its prime factors are 1 and 3.
Prime factors of the sub-duplicate ratio 81 : 256
81 : 256 can be written as 3^4 : 2^8. Therefore, its prime factors are 2 and 3.
Prime factors of the sub-triplicate ratio 125 : 512
125 : 512 can be written as 5^3 : 2^9. Therefore, its prime factors are 2 and 5.
Next, we need to combine the prime factors of each ratio to form the compounded ratio.
Compounded ratio
The compounded ratio is the product of all the prime factors obtained from each ratio. Therefore, the compounded ratio is:
2 × 2 × 5 × 1 × 3 × 2 × 3 × 5 × 2 × 3 = 54000
Therefore, the ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of 1 : 3, sub duplicate ratio of 81 : 256 and sub-triplicate ratio of 125 : 512 is 54000 : 1.
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The ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of 1 : 3, sub duplicate ratio of 81 : 256 and sub-triplicate ratio of 125 : 512 is?
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The ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of 1 : 3, sub duplicate ratio of 81 : 256 and sub-triplicate ratio of 125 : 512 is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of 1 : 3, sub duplicate ratio of 81 : 256 and sub-triplicate ratio of 125 : 512 is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of 1 : 3, sub duplicate ratio of 81 : 256 and sub-triplicate ratio of 125 : 512 is?.
The ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of 1 : 3, sub duplicate ratio of 81 : 256 and sub-triplicate ratio of 125 : 512 is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of 1 : 3, sub duplicate ratio of 81 : 256 and sub-triplicate ratio of 125 : 512 is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of 1 : 3, sub duplicate ratio of 81 : 256 and sub-triplicate ratio of 125 : 512 is?.
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