solve (8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5) (1 point)

1 answer

To solve this expression, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction).

The expression is:

(8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5)

First, let's start with the multiplication and division:

(-3/4) × (-4/5) ÷ (8/9) ÷ (1/9) ÷ (3/5)

Multiply the numerators together and the denominators together:

(3*4) / (4*5) ÷ (8*9) ÷ (1*9) ÷ (3*5)

Simplify the calculations:

12 / 20 ÷ 72 ÷ 9 ÷ 15

Now let's perform the divisions from left to right:

12 / 20 = 0.6

0.6 ÷ 72 = 0.0083333333

0.0083333333 ÷ 9 = 0.0009259259

0.0009259259 ÷ 15 = 6.1728395e-05

Therefore, the solution to the expression is approximately 6.1728395e-05 or 0.0000617284.
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