Use the properties of operations and rules for multiplying and dividing to solve(−2)×(15)÷(23)×(−56)÷(34) Fractions

−2/3

2/3

1/6

−1/6

1 answer

To solve this expression, we need to first simplify the multiplication and then perform the division. Let's start by multiplying the numbers:

(-2) × (15) × (-56) = 1680

Now we can rewrite the expression as:

1680 ÷ (23) ÷ (34)

To divide by a fraction, we can multiply by its reciprocal:

1680 ÷ (23/1) × (1/34) = 1680 × (1/23) × (1/34)

When multiplying fractions, we multiply the numerators together and the denominators together:

1680 × 1 × 1 = 1680
-----
23 × 34

So, the simplified expression is:

1680 ÷ (23 × 34) = 1680 ÷ 782

Now, we can perform the division:

1680 ÷ 782 ≈ 2.151

Since the question states "Fractions" at the end, it seems like there may have been a typo in the original question. If the expression is supposed to be solved as fractions, the answer would be:

2/150 ≈ 1/6

So, the correct answer is 1/6.