Use the properties of operations and rules for multiplying and dividing to solve: (−3)÷(3/4)×(2/7)×(−5/16)÷(5/7) (1 point)

Answer 1

To solve this expression, we can simplify the given expression step by step using the properties of operations and rules for multiplying and dividing.

First, let's simplify the division part:

(-3) ÷ (3/4) = (-3) × (4/3)

Using the rule for dividing by a fraction, we can rewrite the division as a multiplication by the reciprocal:

(-3) × (4/3) = (-3) × (4/3) × (1/1)

Next, let's simplify the multiplication:

(-3) × (4/3) × (2/7) × (-5/16) × (5/7)

Using the property of multiplication, we can rewrite the above expression by multiplying all the numerators and multiplying all the denominators:

((-3) × 4 × 2 × (-5) × 5) / (3 × 7 × 16 × 7)

Now, let's simplify the numerator:

((-3) × 4 × 2 × (-5) × 5) = 600

And simplify the denominator:

(3 × 7 × 16 × 7) = 2,352

Therefore, the simplified expression is:

600 / 2,352

= 25 / 98

Final Answer: 25/98