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11. Which pairs of fractions are equivalent to ? and 52 .5 8"i12 and 15 18 188and 12 1216 and 24 24...

Question

11. Which pairs of fractions are equivalent to ? and 52 .5 8"i12 and 15 18 188and 12 1216 and 24 24

11. Which pairs of fractions are equivalent to ? and 52 .5 8"i 12 and 15 18 18 8and 12 12 16 and 24 24



Answers

Tell whether each pair of fractions are equivalent by simplifying each fraction. $$\frac{3}{12} \text { and } \frac{4}{24}$$

So arrest Identify the equivalent fractions were given five over negative 11. We're gonna go through the four on the right, determine if they're equal. So for the first time, we have negative five over negative 11. Since we have a negative over a negative, that's gonna make them positive. Which would they not equal five of the negative 11. So that is not equivalent. We have negative five over 11th. So we have a negative over positive, which makes the whole fraction negative. So it likewise five over negative 11 makes the whole fracture negative. So this is equivalent five or 11 is positive. So it's It's not equivalent. And finally, negative 5/11 is a native fraction, which is equivalent to five ever negative 11.

Okay, so we went to determine if these two fractions are equivalent, so it's cross multiply and see if their products are the same. So is that equal through 24 times five? Well, let's see, 20 times six. That's 81 20. And now what's 24 times five? That's also a 1 20 So these two are the same. So we see the use. Two fractions are equivalent.

As to identify the equivalent fractions were given negative 13/6. And so we're gonna go through each ones and see if their equipment. So for 13/6, it's just a positive fraction. So we know this cannot be equivalent, and then we're given 13 over negative six, which we have a positive over negative, which makes the whole fraction negative. So this is the equivalent we have negative 13 over negative six to have a negative ever negative, which then cancels out. It makes it a positive. So we know that this is not equivalent. And then we have negative 13/6 or even negative over positive, which makes the entire fraction negative, which means that is equivalent to negative 13/6.

To check. Give infections are equal it or not. First, we heard to calculate the cross products off. Given fractions. Give infections all five by six Antrel by 18. Let's assume this to our equally, but we don't know so 12 by 18 now we will find out the cross products off. Give inflections. Fight in tow. 18 is equal to six into firing 2 18 is 90 on six in tow. Well is 72 but 90 ease not equal to seven. Do do so given to fractions are not equal in directions.


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