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Write the ratio 12:9 as an equivalent ratio of 4:x.(1 point)
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Write the ratio 12:9 as an equivalent ratio of 4:x .(1 point)
Answered by
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To find the equivalent ratio of 4:x, we need to first simplify the ratio of 12:9 by dividing both sides by their greatest common factor:
12 ÷ 3 = 4
9 ÷ 3 = 3
So the simplified ratio is 4:3. Now we need to find what value x is in the equivalent ratio of 4:x. We know that the two ratios are equal, so we can set up a proportion:
4 / 3 = 4 / x
To solve for x, we can cross-multiply:
4x = 12
x = 3
Therefore, the equivalent ratio of 12:9 as 4:x is 4:3, or 12:9 as 4:3.
12 ÷ 3 = 4
9 ÷ 3 = 3
So the simplified ratio is 4:3. Now we need to find what value x is in the equivalent ratio of 4:x. We know that the two ratios are equal, so we can set up a proportion:
4 / 3 = 4 / x
To solve for x, we can cross-multiply:
4x = 12
x = 3
Therefore, the equivalent ratio of 12:9 as 4:x is 4:3, or 12:9 as 4:3.
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