Given equation: 2/3p + 1/5= 4/5
Method 1:
First we need to find the LCD.
LCD of 3, 5 is 15.
Multiplying each term by 15, we get
15 × 2/3p + 15 × 1/5=`15 × 4/5
10p + 3 = 12
Subtracting 3 from both sides, we get
10p + 3-3 = 12-3
10p = 9
Dividing both sides by 10, we get
p = 9/10.
Method 2:
Simplifying left fraction by taking lcd 15.
2*5/3*5p + 1*3/5*3 = 4/5
10 /15 p + 3 /15 = 4/5
(10p +3)/15 = = 4/5
On cross multiplication, we get
5(10p+3) = 15*4
50 p + 15 = 60 .
Subtracting both sides by 15, we get
50 p = 45
Dividing both sides by 50, we get
p = 45/50
p = 9/10.