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

Math
p-13+p+14
To write p-13 as a fraction with a common denominator, multiply by 44.
p-13⋅44+p+14
To write p+14 as a fraction with a common denominator, multiply by 33.
p-13⋅44+p+14⋅33
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
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Multiply p-13 and 44.
(p-1)⋅43⋅4+p+14⋅33
Multiply 3 by 4.
(p-1)⋅412+p+14⋅33
Multiply p+14 and 33.
(p-1)⋅412+(p+1)⋅34⋅3
Multiply 4 by 3.
(p-1)⋅412+(p+1)⋅312
(p-1)⋅412+(p+1)⋅312
Combine the numerators over the common denominator.
(p-1)⋅4+(p+1)⋅312
Simplify the numerator.
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Apply the distributive property.
p⋅4-1⋅4+(p+1)⋅312
Move 4 to the left of p.
4⋅p-1⋅4+(p+1)⋅312
Multiply -1 by 4.
4⋅p-4+(p+1)⋅312
Apply the distributive property.
4p-4+p⋅3+1⋅312
Move 3 to the left of p.
4p-4+3⋅p+1⋅312
Multiply 3 by 1.
4p-4+3⋅p+312
Add 4p and 3p.
7p-4+312
Add -4 and 3.
7p-112
7p-112
Combine (p-1)/3+(p+1)/4

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