Question

Can someone explain to me step by step solving this

3/5 (1+p)=21/20

Answer 1

p =3/4

Explanation:

3/5 * (1+p) = 21/20

Multiply each side by 5/3 to eliminate the factor of 3/5. This is the reciprocal of 3.5

5/3 *3/5 * (1+p) = 21/20*5/3

5/3 *3/5 * (1+p) = 21/3*5/20

5/3 *3/5 * (1+p) = 7*1/4

1+p = 7/4

Subtract 1 from each side

1+p-1 = 7/4 -1

Get a common denominator

p = 7/4 - 4/4

p = 3/4

Answer 2

FRACTION FORM P=3/4

DECIMAL FORM P=0.75

Explanation:

1)Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation

2) simplify 21/20

3) 3 21

(— • (p + 1)) - —— = 0

5 20

4) 3 • (p + 1) 21

——————————— - —— = 0

5 20

5)calculate the least common multiple

6)left denominator is 5

7) right denominator is 20

8)so lcm is 20

9)calculate multipliers for both fractions

10) rewrite both into equivalent fractions

11) then multiply the numerator of each fraction

12)Add the two equivalent fractions which now have a common denominator

13)pull out the like factors

14)get rid of the denominator

15)the 20 cancels out on the left side

16)Add 3 to both sides of the equation :

4p = 3

17)Divide both sides of the equation by 4:

p = 3/4 = 0.750

HOPE THIS HELPS!!