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The ratio 35 : 84 in simplest form is:
- a)5 : 7
- b)7 : 12
- c)5 : 12
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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The ratio 35 : 84 in simplest form is:a)5 : 7b)7 : 12c)5 : 12d)None of...
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The ratio 35 : 84 in simplest form is:a)5 : 7b)7 : 12c)5 : 12d)None of...
Solution:
To write the given ratio 35:84 in simplest form, we need to divide both the numbers by their common factor until we get the smallest possible ratio.
Step 1: Find the common factors of 35 and 84.
Factors of 35: 1, 5, 7, 35
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Common factors of 35 and 84: 1, 7
Step 2: Divide both the numbers by their highest common factor, i.e., 7.
35 ÷ 7 = 5
84 ÷ 7 = 12
Therefore, the ratio 35:84 in simplest form is 5:12.
Hence, the correct option is (c) 5:12.
To write the given ratio 35:84 in simplest form, we need to divide both the numbers by their common factor until we get the smallest possible ratio.
Step 1: Find the common factors of 35 and 84.
Factors of 35: 1, 5, 7, 35
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Common factors of 35 and 84: 1, 7
Step 2: Divide both the numbers by their highest common factor, i.e., 7.
35 ÷ 7 = 5
84 ÷ 7 = 12
Therefore, the ratio 35:84 in simplest form is 5:12.
Hence, the correct option is (c) 5:12.
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The ratio 35 : 84 in simplest form is:a)5 : 7b)7 : 12c)5 : 12d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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