5a-33a-4a+15a

To write 5a-33a as a fraction with a common denominator, multiply by 55.

5a-33a⋅55-4a+15a

To write -4a+15a as a fraction with a common denominator, multiply by 33.

5a-33a⋅55-4a+15a⋅33

Multiply 5a-33a and 55.

(5a-3)⋅53a⋅5-4a+15a⋅33

Multiply 5 by 3.

(5a-3)⋅515a-4a+15a⋅33

Multiply 4a+15a and 33.

(5a-3)⋅515a-(4a+1)⋅35a⋅3

Multiply 3 by 5.

(5a-3)⋅515a-(4a+1)⋅315a

(5a-3)⋅515a-(4a+1)⋅315a

Combine the numerators over the common denominator.

(5a-3)⋅5-(4a+1)⋅315a

Apply the distributive property.

5a⋅5-3⋅5-(4a+1)⋅315a

Multiply 5 by 5.

25a-3⋅5-(4a+1)⋅315a

Multiply -3 by 5.

25a-15-(4a+1)⋅315a

Apply the distributive property.

25a-15+(-(4a)-1⋅1)⋅315a

Multiply 4 by -1.

25a-15+(-4a-1⋅1)⋅315a

Multiply -1 by 1.

25a-15+(-4a-1)⋅315a

Apply the distributive property.

25a-15-4a⋅3-1⋅315a

Multiply 3 by -4.

25a-15-12a-1⋅315a

Multiply -1 by 3.

25a-15-12a-315a

Subtract 12a from 25a.

13a-15-315a

Subtract 3 from -15.

13a-1815a

13a-1815a

Simplify (5a-3)/(3a)-(4a+1)/(5a)