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)

Answer 1

To solve the expression, we can use the properties of operations and rules for multiplying and dividing.

First, we can simplify the expression by canceling out the common factors in the numerator and denominator of the different fractions:

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

We can cancel out the common factor of 5 in the first and second fraction:

(-3/1) × (1/16) × (7/12) ÷ (-3/16) × (-1/7)

Next, we can cancel out the common factor of 3 in the first and fourth fraction:

(-1/1) × (1/16) × (7/12) ÷ (-1/16) × (-1/7)

Further simplifying, we can cancel out the common factor of 16 in the first and fourth fraction:

(-1/1) × (1/1) × (7/12) ÷ (-1/1) × (-1/7)

Now, we can multiply the fractions:

(-1) × (1) × (7/12) ÷ (-1) × (-1/7)

Simplifying the expression further, we can cancel out the common factor of 7:

(-1) × (1) × (1/12) ÷ (-1) × (-1)

Finally, we can simplify the expression by multiplying the fractions:

(-1/12) ÷ (1)

The division of -1/12 by 1 is equal to -1/12.

So the solution to the expression (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7) is -1/12.