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What is the simplest form of the ratio 144:28?
- a)28:4
- b)36: 7
- c)7:36
- d)1:2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the simplest form of the ratio 144:28?a)28:4b)36: 7c)7:36d)1:2...
144/4 : 28/4
(Since H.C.F. of 144 and 28 = 4)
(Since H.C.F. of 144 and 28 = 4)
Most Upvoted Answer
What is the simplest form of the ratio 144:28?a)28:4b)36: 7c)7:36d)1:2...
Explanation:
The given ratio is 144:28.
To simplify the ratio, we need to find the greatest common divisor (GCD) of the two numbers, which is the largest number that divides both numbers evenly.
Step 1: Find the GCD of 144 and 28
To find the GCD, we can use the method of prime factorization.
Prime factorization of 144:
144 = 2 × 2 × 2 × 2 × 3 × 3 = 2^4 × 3^2
Prime factorization of 28:
28 = 2 × 2 × 7 = 2^2 × 7
Now, we need to find the common factors in the prime factorization of both numbers.
Common factors:
2^2
Step 2: Simplify the ratio
To simplify the ratio, we divide both numbers by the common factors.
144 ÷ 2^2 = 36
28 ÷ 2^2 = 7
So, the simplified form of the ratio 144:28 is 36:7. Therefore, option 'B' (36:7) is the correct answer.
The given ratio is 144:28.
To simplify the ratio, we need to find the greatest common divisor (GCD) of the two numbers, which is the largest number that divides both numbers evenly.
Step 1: Find the GCD of 144 and 28
To find the GCD, we can use the method of prime factorization.
Prime factorization of 144:
144 = 2 × 2 × 2 × 2 × 3 × 3 = 2^4 × 3^2
Prime factorization of 28:
28 = 2 × 2 × 7 = 2^2 × 7
Now, we need to find the common factors in the prime factorization of both numbers.
Common factors:
2^2
Step 2: Simplify the ratio
To simplify the ratio, we divide both numbers by the common factors.
144 ÷ 2^2 = 36
28 ÷ 2^2 = 7
So, the simplified form of the ratio 144:28 is 36:7. Therefore, option 'B' (36:7) is the correct answer.
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What is the simplest form of the ratio 144:28?a)28:4b)36: 7c)7:36d)1:2Correct answer is option 'B'. Can you explain this answer?
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What is the simplest form of the ratio 144:28?a)28:4b)36: 7c)7:36d)1:2Correct answer is option 'B'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What is the simplest form of the ratio 144:28?a)28:4b)36: 7c)7:36d)1:2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the simplest form of the ratio 144:28?a)28:4b)36: 7c)7:36d)1:2Correct answer is option 'B'. Can you explain this answer?.
What is the simplest form of the ratio 144:28?a)28:4b)36: 7c)7:36d)1:2Correct answer is option 'B'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What is the simplest form of the ratio 144:28?a)28:4b)36: 7c)7:36d)1:2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the simplest form of the ratio 144:28?a)28:4b)36: 7c)7:36d)1:2Correct answer is option 'B'. Can you explain this answer?.
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