To solve this expression, we can follow the order of operations, which is parentheses, multiplication/division (from left to right), and then addition/subtraction (from left to right). Let's simplify the expression step by step:
(-2) x (1/5) divided by (2/3) x (-5/6) divided by (3/4)
First, let's simplify the multiplication/division within each fraction:
(-2) x (1/5) = -2/5
(2/3) x (-5/6) = -10/18 = -5/9
(3/4) = 3/4
Now, let's perform the division of the fractions:
(-2/5) divided by (-5/9) divided by (3/4)
Dividing fractions is the same as multiplying by the reciprocal of the second fraction. Let's simplify each division step-wise:
(-2/5) divided by (-5/9) = (-2/5) x (-9/5) = 18/25
18/25 divided by (3/4) = 18/25 x (4/3) = 72/75 = 24/25
Therefore, the final answer is 24/25, which can also be simplified to 6/25.
Answer: D) 1/6
use the properties of operations and rules for multiplying and dividing to solve
(-2) x (1/5) divided by (2/3) x(-5/6) divided by (3/4)
A 2/3
B -2/3
C -1/6
D 1/6
1 answer
1 answer