Question

(8/9)x(-3/4)divided (1/9)x(-4/5)divided (3/5)

Answer 1

To simplify the expression:

(8/9)x(-3/4) ÷ (1/9)x(-4/5) ÷ (3/5)

First, multiply the fractions in the numerator and in the denominator:

(8/9) x (-3/4) = -24/36

(1/9) x (-4/5) = -4/45

Therefore, the expression becomes:

(-24/36) ÷ (-4/45) ÷ (3/5)

To divide fractions, you invert the divisor and multiply:

(-24/36) ÷ (-4/45) is the same as (-24/36) x (-45/4).

The multiplication of these fractions simplifies to:

= (24/4) x (45/36)
= 6 x (45/36)
= (6/1) x (45/36)

Multiplying the numerator gives:

= 270/36

Reducing this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 18:

= (270/18) / (36/18)
= 15/2

Finally, we multiply 15/2 by 3/5:

= (15/2) x (3/5)

Multiplying the numerators, and denominators, we get:

= (15 x 3) / (2 x 5)
= 45/10

Therefore, the simplified expression is 45/10 or 9/2.