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

(9)÷(54)×(79)×(−5)÷(72)

1 answer

To solve this expression, we will first simplify the division operations and then perform the multiplication operations.

Using the properties of division, we can simplify:

(9) ÷ (54) = 1/6

Now we have:

(1/6) × (79) × (-5) ÷ (72)

Note that (-5) ÷ (72) can be simplified further by using the division rule for multiplying with a negative number:

(-5) ÷ (72) = -5/72

Now we have:

(1/6) × (79) × (-5/72)

Next, we can multiply these fractions together using the property of multiplication:

(1/6) × (79) × (-5/72) = (1 × 79 × -5) / (6 × 72)

Simplifying the numerator and denominator, we have:

-395 / 432