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

Math
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
Write each expression with a common denominator of 15a, by multiplying each by an appropriate factor of 1.
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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
Simplify the numerator.
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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)

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