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