(-3)÷(3/4)x(2/7)x(-5/16)÷(5/7)
1/2
8
-5/12
1
100
To solve the expression (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7), follow these steps:
Step 1: Simplify the division: (-3) ÷ (3/4)
To divide by a fraction, you can multiply by its reciprocal. So, multiply -3 by the reciprocal of 3/4, which is 4/3.
(-3) ÷ (3/4) = -3 × (4/3) = -12/3 = -4
Step 2: Multiply the remaining fractions: -4 × (2/7) × (-5/16) ÷ (5/7)
Multiply all the numerators (top numbers) together, and multiply all the denominators (bottom numbers) together.
After multiplying, you get:
-4 × 2 × -5 = 40
Multiply all the denominators together:
7 × 16 × 5 = 560
Step 3: Simplify the fraction: 40/560
The fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 40 and 560 is 40. Dividing both numbers by 40 gives us:
40 ÷ 40 = 1
560 ÷ 40 = 14
So, the simplified fraction is 1/14.
Therefore, the expression (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7) equals 1/14.