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Sagot :
Answer: Choice A
The fractions are not equivalent because the product of the numerator of the first fraction and the denominator of the second fraction is 15 , which is not equal to the product of the numerator of the second fraction and the denominator of the first fraction 16
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Explanation:
We have the template [tex]\frac{P}{Q} = \frac{R}{S}[/tex] which cross multiplies to [tex]PS = QR[/tex]
So if [tex]\frac{3}{4} = \frac{4}{5}[/tex] was true, then [tex]3*5 = 4*4[/tex] must be true as well, and vice versa.
The left side 3*5 turns into 15, while the right hand side 4*4 becomes 16. The 15 and 16 don't match up.
In short, [tex]3*5 = 4*4[/tex] turns into [tex]15 = 16[/tex] which is a false statement. So the original claim that [tex]\frac{3}{4} = \frac{4}{5}[/tex] is also false.
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