Question

Which pair of ratios are equivalent? ( one answer )

1. 9/5 , 27/10
2. 0.5/8 , 2/32
3. 6/4 , 30/24
4. 1.2/6.1 , 3.6/12.4

Answer 1

• Option 2 is correct because the result was equal to the other.

Explanation:

Let's simplify all the ratios to find which pairs are equivalent.

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Option 1)

• 9/5 ≠ 27/10

This is because neither any fractions can be simplified, nor they are equal. Hence, Option 1 is wrong.

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Option 2)

• 0.5/8 = 2/32
• => 0.5 x 2/8 x 2 = 2 ÷ 2/32 ÷ 2
• => 1/16 = 1/16

Since both of them are giving the same value, Option 2 is correct.

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Option 3)

• 6/4 = 30/24
• => 6 ÷ 2/4 ÷ 2 = 30 ÷ 6/24 ÷ 6
• => 3/2 ≠ 5/4

Since both fractions are not equal after simplifying, Option 3 is incorrect.

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Option 4)

• 1.2/6.1 = 3.6/12.4
• => 12/61 ≠ 9/31

Since both fractions are not equal after simplifying, Option 4 is incorrect.

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We can conclude that Option 2 is correct because the result was equal to the other.

Hoped this helped.

`BrainiacUser1357`