What is #(-3/5)(-10/9)#?

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Answer 1 · 2016-09-05T10:07:56

#(2) / (3)#

We have: #(- (3) / (5)) (- (10) / (9))#

#= (- 1) ((3) / (5)) (- 1) ((10) / (9))#

First, let's multiply the #- 1# terms:

#= ((3) / (5)) ((10) / (9))#

In a product of two fractions, the numerators are multiplied and the denominators are multiplied:

#= (30) / (45)#

Let's simplify this fraction further by factoring out #5#:

#= (6) / (9)#

We can still simplify by factoring out #3#:

#= (2) / (3)#

Answer 2 · 2016-09-05T12:04:13

#2/3#

Multiplication of fractions is much easier than the addition and subtraction.

#(-3)/5 xx(-10)/9#

(2 negatives signs # rArr +#)

#+(cancel3)/cancel5 xx(cancel10^2)/cancel9^3#

=#2/3#