(- 3)÷(3/4)x(2/7)x(- 5/16)÷(5/7]
To solve this expression, we need to follow the order of operations (PEMDAS).
First, we simplify the inside of the brackets:
(- 3) ÷ (3/4) x (2/7) x (- 5/16) ÷ (5/7)
= -3 ÷ (3/4) x (2/7) x (-5/16) ÷ (5/7)
Next, we simplify the division:
= -3 x (4/3) x (2/7) x (-5/16) ÷ (5/7)
= (-3 x 4 x 2 x -5) ÷ (3 x 7 x 16 ÷ 5)
Now, we multiply:
= (-60) ÷ (336/5)
To divide by a fraction, we can multiply by its reciprocal:
= (-60) x (5/336)
= -300 / 336
= -25/28
So, (- 3) ÷ (3/4) x (2/7) x (- 5/16) ÷ (5/7) equals -25/28.
To simplify the given expression (-3) ÷ (3/4) x (2/7) x (-5/16) ÷ (5/7), you can follow these steps:
Step 1: Simplify inside the parentheses, starting with the division:
(-3) ÷ (3/4) x (2/7) x (-5/16) ÷ (5/7)
Step 2: Division of fractions can be performed by multiplying the first fraction by the reciprocal of the second fraction:
(-3) x (4/3) x (2/7) x (-5/16) ÷ (5/7)
Step 3: Next, you can cancel out any common factors between the numerators and denominators:
(-3) x (4/3) x (2/7) x (-5/16) ÷ (5/7)
= (-3) x (4/3) x (1/1) x (-5/16) ÷ (1/1)
Step 4: Multiply the numerators together and the denominators together:
(-3 x 4 x 1 x -5) / (3 x 7 x 16 x 5)
Step 5: Simplify the numerator and denominator separately:
Numerator: (-3 x 4 x 1 x -5) = -60
Denominator: (3 x 7 x 16 x 5) = 1680
Step 6: Divide the numerator by the denominator:
-60 ÷ 1680
Step 7: Determine if simplification is possible by finding any common factors between the numerator and denominator. In this case, both numbers are divisible by 60:
-60 ÷ 1680 = -1/28
So, the simplified expression is -1/28.