To solve the expression 8/9 × -3/4 ÷ 1/9 × -4/5 ÷ 3/5 using the properties of operations and rules for multiplying and dividing, we follow the order of operations.
First, we simplify within the parentheses by performing 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
= -24/36 ÷ 1/9 × -4/5 ÷ 3/5
= -2/3 ÷ 1/9 × -4/5 ÷ 3/5
= (-2/3) × (9/1) × (1/-4) × (5/3)
Next, we simplify the multiplication and division from left to right:
(-2/3) × (9/1) × (1/-4) × (5/3)
= -2 × 9 × 1 × 5 / 3 × 1 × -4 × 3
= -2 × 9 × 1 × 5 / (3 × 1 × -4 × 3)
= -90 / -36
Finally, we simplify the fraction:
-90 / -36 = 5/2
Therefore, 8/9 × -3/4 ÷ 1/9 × -4/5 ÷ 3/5 simplifies to 5/2.
Use the properties of operation and rules for multiplying and dividing to solve what is 8/9×-3/4÷1/9×-4/5÷3/5
1 answer