SOLUTION: Hi, Can a tutor help me with this problem please? (-7/24)/(-21/40) Thank you!

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Question 370014: Hi,
Can a tutor help me with this problem please?

(-7/24)/(-21/40)

Thank you!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28-7%2F24%29%2F%28-21%2F40%29 Start with the given expression


In order to divide these fractions, first we need to flip the second fraction -21%2F40 to get 40+%2F+-21.

Now multiply the first fraction -7%2F24 by the second fraction 40+%2F+-21

%28-7%2F24%29%2840+%2F+-21%29

Now simply multiply the numerators and denominators separately like this:

%28-7%2A40%29%2F%2824%2A-21%29 Multiply the numerators -7 and 40. Place them as the numerator. Multiply the denominators 24 and -21. Place them as the denominator

-280%2F-504 Now multiply


So

%28-7%2F24%29%2F%28-21%2F40%29=%28-280%29%2F%28-504%29



If want to reduce the fraction, %28-280%29%2F%28-504%29 reduces to 5+%2F+9 (note: click here if you need help with reducing fractions)


So %28-7%2F24%29%2F%28-21%2F40%29=5%2F9