1/4 (p+4) + 3/5 (p-1)

Simplify 1/4 (p + 4) to p + 4/4

p + 4/4 + 3/5 (p - 1)

Simplify 3/5 (p - 1) to 3 (p - 1) / 5

p + 4/4 + 3 (p - 1) / 5

Simplify using the common denominator

5 (p + 4) + 3 * 4 (p - 1) / 20

Simplify 3 * 4 (p - 1) to 12 (p - 1)

5 (p + 4) + 12 (p - 1) / 20

Expand

5p + 20 + 12p - 12/20

Collect like terms

(5p + 12p) + (20 - 12) / 20

Simplify (5p + 12p) + (20 - 12) to 17p + 8

17p + 8/20