Use the properties of operations and rules for multiplying and dividing to solve:

Question

(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)

Answer 1

First, let's simplify the expression:

(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)

To simplify this expression, we can cancel out any common factors between the numerator and denominator. Let's look for common factors:

((-3) × 5 × 7 × (-5)) / ((5) × (4) × 3 × (-3)) × (-5)

Next, we can simplify the numerator and denominator separately before dividing:

= (105 × (-5)) / ((1 × 4 × 3 × (-1)) × (-5))

= (-525) / ((-12) × (-1) × (-5))

= (-525) / (60)

Finally, we can divide -525 by 60:

= -525 / 60

Simplifying further, we can divide both the numerator and denominator by their greatest common divisor, which is 5:

= -105 / 12

So, the simplified expression is -105/12.

Answer 2

Wrong

Answer 3

Apologies for the mistake. Let's examine the expression again:

(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)

To solve this expression, we can start by multiplying the numerators together and the denominators together. Let's simplify this step:

((-3) × (5) × (7) × (-5)) / ((5) × (16) × (12) × (-3)) × (-5) × (7)

Multiplying the numerators together gives us -525, and multiplying the denominators together gives us -5,760.

Now, let's simplify the expression further:

-525 / (-5,760)

Since the numerator and denominator both have negatives, they cancel each other out:

525 / 5,760

This expression cannot be simplified any further, so the final answer is 525/5,760.