Answer:
box on top = 15
box on the bottom = 16
The fractions are not the same
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Explanation:
We multiply the 3 by 5 to get 3*15 = 15
We also multiply the 8 by 2 to get 8*2 = 16
So this is what you could have as your steps
[tex]\frac{3}{8}*\frac{5}{2} = \frac{3*5}{8*2} = \frac{15}{16}[/tex]
The fractions 3/8 and 15/16 are not the same. We can use a calculator to get these decimal values
3/8 = 0.3750
15/16 = 0.9375
We see that 15/16 is much bigger than 3/8.
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Here's another way to show they aren't the same. For now assume they are equal. We'll show a contradiction happens later.
3/8 = 15/16
3*16 = 8*15
48 = 120
We end up with a contradiction since we get differing values on either side. The false equation at the end means the original equation is false too.
