2/3p + 1/5= 4/5. solve this equation in two different ways

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

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