Combine (r+9)/10+(r-1)/3

Math
r+910+r-13
To write r+910 as a fraction with a common denominator, multiply by 33.
r+910⋅33+r-13
To write r-13 as a fraction with a common denominator, multiply by 1010.
r+910⋅33+r-13⋅1010
Write each expression with a common denominator of 30, by multiplying each by an appropriate factor of 1.
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Multiply r+910 and 33.
(r+9)⋅310⋅3+r-13⋅1010
Multiply 10 by 3.
(r+9)⋅330+r-13⋅1010
Multiply r-13 and 1010.
(r+9)⋅330+(r-1)⋅103⋅10
Multiply 3 by 10.
(r+9)⋅330+(r-1)⋅1030
(r+9)⋅330+(r-1)⋅1030
Combine the numerators over the common denominator.
(r+9)⋅3+(r-1)⋅1030
Simplify the numerator.
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Apply the distributive property.
r⋅3+9⋅3+(r-1)⋅1030
Move 3 to the left of r.
3⋅r+9⋅3+(r-1)⋅1030
Multiply 9 by 3.
3⋅r+27+(r-1)⋅1030
Apply the distributive property.
3r+27+r⋅10-1⋅1030
Move 10 to the left of r.
3r+27+10⋅r-1⋅1030
Multiply -1 by 10.
3r+27+10⋅r-1030
Add 3r and 10r.
13r+27-1030
Subtract 10 from 27.
13r+1730
13r+1730
Combine (r+9)/10+(r-1)/3

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