# Combine 3/(10x)-4/(15y)

310x-415y
To write 310x as a fraction with a common denominator, multiply by 3y3y.
310x⋅3y3y-415y
To write -415y as a fraction with a common denominator, multiply by 2x2x.
310x⋅3y3y-415y⋅2x2x
Write each expression with a common denominator of 30xy, by multiplying each by an appropriate factor of 1.
Multiply 310x and 3y3y.
3(3y)10x(3y)-415y⋅2x2x
Multiply 3 by 10.
3(3y)30xy-415y⋅2x2x
Multiply 415y and 2x2x.
3(3y)30xy-4(2x)15y(2x)
Multiply 2 by 15.
3(3y)30xy-4(2x)30yx
Reorder the factors of 30yx.
3(3y)30xy-4(2x)30xy
3(3y)30xy-4(2x)30xy
Combine the numerators over the common denominator.
3(3y)-4(2x)30xy
Simplify the numerator.
Multiply 3 by 3.
9y-4(2x)30xy
Multiply 2 by -4.
9y-8x30xy
9y-8x30xy
Combine 3/(10x)-4/(15y)

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