Answer:
FALSE. isn't it supposed to be 3 : 4.
Step-by-step explanation:
Simplified would be 27÷ 9 =3 and 36 ÷ 9 =4
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Explanation:
The ratio 4:3 has the first part (4) larger than the second part (3)
The ratio 27:36 has it flipped around, where the second part is the larger item this time.
Based on this alone, we can see that there's no way that 4:3 is the same as 27:36
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Another way you can look at it is to divide both parts of 27:36 by the GCF 9
The ratio 27:36 fully reduces to 3:4 and not 4:3. The order matters.
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Or you could go in verse of the previous section. Multiply both parts of 4:3 by 9
So the ratio 4:3 is equivalent to 36:27 which is not the same as 27:36. Again, the order is important.
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Yet another approach:
Treat the ratios like fractions. If they were equal, then 27/36 = 4/3 would be true.
Cross multiplying leads to 27*3 = 36*4 and that becomes 81 = 144 which is false. So saying 27:36 reduces to 4:3 is also false
