Use the properties of operations and rules for multiplying and dividing to solve:
(-2) x (1/5) / (2/3) x (-5/6) / (3/4)
First, let's simplify the expression step by step.
(-2) x (1/5) = -2/5
(2/3) x (-5/6) = -10/18 = -5/9
(-2/5) / (-5/9) = (-2/5) x (9/-5) = -18/25
(-18/25) / (3/4) = (-18/25) x (4/3) = -72/75 = -24/25
Therefore, (-2) x (1/5) / (2/3) x (-5/6) / (3/4) simplifies to -24/25.
u sure
Apologies for the incorrect answer earlier. Let's solve the expression correctly step by step.
(-2) x (1/5) = -2/5
(2/3) x (-5/6) = (-10/18) = -5/9
(-2/5) / (-5/9) = (-2/5) x (9/-5) = 18/25
(18/25) / (3/4) = (18/25) x (4/3) = 72/75 = 24/25
Therefore, (-2) x (1/5) / (2/3) x (-5/6) / (3/4) simplifies to 24/25.
wrong
I apologize for the confusion. Let's solve the expression correctly step by step.
(-2) x (1/5) / (2/3) x (-5/6) / (3/4)
First, let's simplify the multiplication:
-2/5 * -5/6 = 10/30 = 1/3
Then, let's simplify the division:
1/3 / 2/3 = 1/3 * 3/2 = 1/2
Finally, let's simplify the last division:
1/2 / 3/4 = 1/2 * 4/3 = 2/3
Therefore, (-2) x (1/5) / (2/3) x (-5/6) / (3/4) simplifies to 2/3.
Use the properties of operations and rules for multiplying and dividing to solve:
(9) / (5/4) x (7/9) x (-5) / (7/2)
First, let's simplify the expression step by step.
(9) / (5/4) = 9 x (4/5) = 36/5
(36/5) x (7/9) = (36 x 7) / (5 x 9) = 252/45
(-5) / (7/2) = -5 x (2/7) = -10/7
Now, let's multiply the fractions:
(252/45) x (-10/7) = (252 x -10) / (45 x 7) = -2520/315 = -8
Therefore, (9) / (5/4) x (7/9) x (-5) / (7/2) simplifies to -8.
A runner completes 1/4 of a 5 mile race every 8 minutes. At the same pace, how far can the runner go in 16 minutes
We can solve this problem by setting up a proportion.
We know that the runner completes 1/4 of the race in 8 minutes. So, in 1 minute, the runner completes 1/4 divided by 8, which is 1/32 of the race.
Now, we can set up a proportion:
1/32 = x/16
To solve for x, we can cross multiply:
16 * 1/32 = x
x = 16/32
Simplifying the fraction, we get:
x = 1/2
Therefore, the runner can go 1/2 mile in 16 minutes at the same pace.
a 160 miles
b 1/10 mile
c 1/8 mile
d 2 1/2 miles