(-4) × (7/5) × (-3/4) ÷(7/15)
To solve this, we need to simplify each step:
((-4) × (7/5) × (-3/4)) ÷ (7/15)
First, multiply the numbers together:
((-4) × (7/5) × (-3/4)) = (-4 * -3 * 7) / (5 * 4)
Simplifying:
= (12 * 7) / 20
= 84/20
= 21/5
Finally, divide this result by (7/15):
(21/5) ÷ (7/15)
To divide by a fraction, we multiply by the reciprocal:
= (21/5) * (15/7)
Simplifying:
= (21 * 15) / (5 * 7)
= 315/35
= 9/1
= 9
To simplify this expression step-by-step:
Step 1: Multiply -4 by 7/5
-4 × 7/5 = -28/5
Step 2: Multiply -28/5 by -3/4
(-28/5) × (-3/4) = 84/20
Step 3: Divide 84/20 by 7/15
(84/20) ÷ (7/15) = (84/20) × (15/7)
Step 4: Multiply the numerators together and the denominators together
(84 × 15) / (20 × 7) = 1260/140 = 9
Therefore, (-4) × (7/5) × (-3/4) ÷(7/15) simplifies to 9.