To solve the expression 8/9 × -3/4 ÷ 1/9 × -4/5 ÷ 3/5, we need to follow the correct order of operations, which is parentheses, exponents, multiplication and division (from left to right), and finally addition and subtraction (from left to right).
Let's simplify the expression step by step:
First, we will take care of the multiplication and division from left to right:
8/9 × -3/4 ÷ 1/9 × -4/5 ÷ 3/5
= (8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5)
Now let's multiply and divide:
= -2/3 ÷ 1/1 × -4/5 ÷ 3/5
= -2/3 × -4/5 × 5/3
Next, let's perform the multiplication:
= (-2 × -4 × 5) / (3 × 5 × 3)
Simplifying further:
= (40) / (45)
= 8/9
Therefore, the value of the expression 8/9 × -3/4 ÷ 1/9 × -4/5 ÷ 3/5 is 8/9.
Use properties of operation and rules for multiplying and dividing to solve 8/9×-3/4÷1/9×-4/5÷3/5
1 answer
1 answer