no Use the properties of operations and rules for multiplying and dividing to solve: (−3/5) × (5/16) × (7/12) ÷ (−3/16) ×( −5/7) (1 point)

1 answer

To solve this expression, we need to simplify the given expression using the properties of operations.

First, let's simplify the numerators:

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

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

-105/960 ÷ (-3/16) × (-5/7)

Next, let's simplify the denominators:

-105/960 ÷ (-3/16) × (-5/7) = -105/(960 × 16 × 7/3) × (-5/7)

Now, let's simplify the expression:

-105/(960 × 16 × 7/3) × (-5/7) = -105/(960 × 16 × 7/3) × (-5/7)

Finally, we can multiply the fractions together:

-105/(960 × 16 × 7/3) × (-5/7) = -105/ ((960 × 16 × 7) / (3 × 7))

Now, we can simplify the expression further:

-105/ ((960 × 16 × 7) / (3 × 7)) = -105/ ((960 × 16) / 3)

This expression cannot be simplified further without knowing the value of the numerator and denominator.