SOLUTION: Multiply. Be sure to write each answer in simplest form. 5/21 X 14/25 Is this where I have to turn around the one fraction or is that dividing fractions?

Question 105960: Multiply. Be sure to write each answer in simplest form.

5/21 X 14/25
Is this where I have to turn around the one fraction or is that dividing fractions?
Answer by BurningFlame_marc(77) (Show Source): You can put this solution on YOUR website!
Hello!
No, you will only get the reciprocal(turning around of a fraction) if it's division.

For your question, I have a short way of solving it.
Normally, people will multiply 5 by 14 then multiply 21 by 25 then simplify.
If you do that you will get 70/525 then you still have to simplify this so your final answer will be 2/15. It's very long isn't it?

My solution will be, I will use cancelation. First find one numerator and one denominator that can be divided by a number. For this I found 2 pairs. 21 and 14,5 and 25. Then divide 14 and 21 by 7. The result is 2 and 3. Then divide 5 and 25 by 5. The result is 1 and 5. With that the new fractions are 1/3 and 2/5.
Now, just multiply and you will get 2/15 which is the same as our first answer.
The Final Answer is 2/15.

Hope you understand my solution!
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