A stock lost 8(3)/(8) points on Monday and then another 1(1)/(5) points on Tuesday. On Wednesday, it gained 13 points. What was the net gain or loss of the stock for these three days
To find the net gain or loss of the stock for these three days, we need to add up the gains and subtract the losses.
The stock lost 8(3)/(8) + 1(1)/(5) points in total. To add these together, we first need to convert the fractions to a common denominator, which is 40.
8(3)/(8) = 3(40)/(8) = 120/8 = 15
1(1)/(5) = 1(8)/(5) = 8/5
So, the stock lost a total of 15 + 8/5 = 75/5 + 8/5 = 83/5 points.
On Wednesday, the stock gained 13 points.
To find the net gain or loss, we subtract the losses from the gains:
Net gain/loss = 83/5 - 13 = (83 - 65)/5 = 18/5
The net gain/loss of the stock for these three days is 18/5 points.
To find the net gain or loss of the stock for these three days, we need to calculate the total change in points.
On Monday, the stock lost 8(3)/(8) points.
On Tuesday, it lost another 1(1)/(5) points.
On Wednesday, it gained 13 points.
To calculate the total change, we need to add the gains and subtract the losses.
Loss on Monday = -8(3)/(8) points
Loss on Tuesday = -1(1)/(5) points
Gain on Wednesday = +13 points
Total change = (-8(3)/(8)) + (-1(1)/(5)) + 13
First, let's convert the mixed fractions into improper fractions:
Loss on Monday = -((8 * 8) + 3)/(8) = -67/(8)
Loss on Tuesday = -((5 * 1) + 1)/(5) = -6/(5)
Now we can calculate the total change:
Total change = (-67/(8)) + (-6/(5)) + 13
To add or subtract fractions, we need to find a common denominator. In this case, the common denominator is 40.
Total change = (-67 * 5)/(8 * 5) + (-6 * 8)/(5 * 8) + 13 * (40/40)
Total change = -335/40 + (-48/40) + 520/40
Now we can combine the fractions:
Total change = (-335 - 48 + 520)/40
Total change = 137/40
The net gain or loss of the stock for these three days is 137/40 points.