Question

1) (-4/5) × (-3/8) × (-5/12) 2) (-9/10) × 5/6 × (-2/3)​

Answer 1

Ответ:

Пошаговое объяснение:

1)

(-4/5) × (-3/8) × (-5/12) = ((-4/5) × (-3/8)) × (-5/12) = ((-1/5) × (-3/2)) × (-5/12) =

= (-1/5) × ((-3/2) × (-5/12)) = (-1/5) × (-1/2) × (-5/4) = ((-1/5) × (-5/4)) × (-1/2) =

= (-1/1) × (-1/4) × (-1/2) = -1/8

2)

(-9/10) × 5/6 × (-2/3) = ((-9/10) × 5/6) × (-2/3) = (-3/2) × (1/2 × (-2/3)) =

= ((-3/2) × (-1/3)) × 1/1 = (-1/2) × (-1/1) × 1 = 1/2

Answer 2

To simplify these multiplications involving fractions, you can follow these steps:

1. (-4/5) × (-3/8) × (-5/12):

Multiply the numerators together and the denominators together separately.

(-4 * -3 * -5) / (5 * 8 * 12)

Now, simplify:

(60) / (480)

Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 60 in this case:

(60 ÷ 60) / (480 ÷ 60)

This simplifies to:

1/8

So, (-4/5) × (-3/8) × (-5/12) = 1/8.

2. (-9/10) × (5/6) × (-2/3):

Multiply the numerators together and the denominators together separately.

(-9 * 5 * -2) / (10 * 6 * 3)

Now, simplify:

(90) / (180)

Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 90 in this case:

(90 ÷ 90) / (180 ÷ 90)

This simplifies to:

1/2

So, (-9/10) × (5/6) × (-2/3) = 1/2.