SOLUTION: Perform the indicated operation and if possible, simplify.
-5/12*(-9)*{-3/20}
Thank you,
Janice
Algebra.Com
Question 614508: Perform the indicated operation and if possible, simplify.
-5/12*(-9)*{-3/20}
Thank you,
Janice
Answer by ashipm01(26) (Show Source): You can put this solution on YOUR website!
To multiply those fractions, the problem can be rewritten in the following, equivalent, form by just rewriting -9 as a fraction of -9/1:
When multiplying fractions, you can just multiply all the terms in the numerators and then divide that product by the product of multiplying all the terms in the denominators of all the fractions. So the following fraction is equivalent to the three separate fractions from the previous step:
=
Now just multiply the terms shown above:
=
The only step left to do now is to simply the fraction which is done by dividing both the numerator and the denominator each by the greatest common divisor of both the numerator and denominator. The GCD of -135 and 240 is 15, but I will show the prime factorization of each of the numbers here to show that 15 is the GCD:
Both -135 and 240 are divisible by 15, as shown in the factorings above (15 = 5 * 3), and that is the greatest common divisor. So now dividing both the numerator and denominator by 15 will result in the fraction in the simplest form:
=
=
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