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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...
  (Since H.C.F. of 144 and 28=4)
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What is the simplest form of the ratio 144:28?a)28:4b)36: 7c)7:36d)1:2...

Simplest Form of Ratio 144:28

The simplest form of a ratio involves finding the greatest common factor (GCF) of the two numbers in the ratio and then dividing both numbers by that factor to simplify the ratio.

Calculating the GCF of 144 and 28
- The factors of 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
- The factors of 28 are: 1, 2, 4, 7, 14, 28
- The common factor between 144 and 28 is 4.

Simplifying the Ratio
- To simplify the ratio 144:28, divide both numbers by the GCF (4).
- 144 ÷ 4 = 36
- 28 ÷ 4 = 7

Therefore, the simplest form of the ratio 144:28 is 36:7, which is option B.
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What is the simplest form of the ratio 144:28?a)28:4b)36: 7c)7:36d)1:2...
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