To solve the expression, we can apply the rules for multiplying and dividing fractions.
First, let's simplify each multiplication individually:
(-2) times (1 over 5) becomes -2/5
(2 over 3) times (- 5 over 6) becomes (-10 over 18) or (-5 over 9)
Now, let's simplify the division:
(-2/5) divided by (-5/9) can be rewritten as (-2/5) times (9/(-5), using the reciprocal property. Multiplying the numerators and denominators gives us (-2 times 9) over (5 times -5), which simplifies to -18/(-25).
Finally, we can simplify -18/(-25) by dividing both the numerator and denominator by their greatest common factor, which is 1. This gives us 18/25.
So, the final simplified expression is 18/25.
Therefore, the answer is not provided in the options given.
Use the properties of operations and rules for multiplying and dividing to solve:
(-2) times (1 over 5) / (2 over 3) times (- 5 over 6) / (3 over 4)
A. (- 1 over 6)
B. (- 2 over 3)
C. (2 over 3)
D. (1 over 6)
1 answer