Landon34
  • Landon34
Multiply: (-12/25)(-10/16)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Landon34
  • Landon34
I need help.
anonymous
  • anonymous
both numbers are negative will the answer be positive or negative?
Landon34
  • Landon34
positive.

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More answers

anonymous
  • anonymous
ok right, so we can ignore the signs because we know that we have \[\frac{12}{25}\times \frac{10}{16}\] before multiplying do you see any common factors top and bottom?
anonymous
  • anonymous
for example, what number goes in to both 10 and 25 evenly?
Landon34
  • Landon34
5
anonymous
  • anonymous
right so we can cancel a 5 top and bottom as a start \[\frac{12}{\cancel{25}^5}\times \frac{\cancel{10}^2}{16}=\frac{12\times 2}{5\times 16}\]
anonymous
  • anonymous
how about 12 and 16? what is the largest number that divides both of those evenly?
Landon34
  • Landon34
4
anonymous
  • anonymous
ok so we can cancel some more \[\frac{\cancel{12}^3\times 2}{5\times\cancel{ 16}^4}=\frac{3\times 2}{5\times 4}\]
anonymous
  • anonymous
and now we can still cancel even more
anonymous
  • anonymous
because 2 goes in to both 2 and 4 evenly
Landon34
  • Landon34
yes.
anonymous
  • anonymous
cancel those, and you are left only with \[\frac{3}{5\times 2}\]

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