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-5/4-(-1/6) help please

User TomJ
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1 Answer

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A way to add fractions that always works is to multiply each numerator by the denominator of the other, then express the sum of products over the product of the denominators.

(a)/(b)+(c)/(d)=(a)/(b)\cdot(d)/(d)+(c)/(d)\cdot(b)/(b)\\\\=(ad+bc)/(bd)

Here, you have

(-5)/(4)-(-1)/(6)=(-5\cdot6-(-1)\cdot4)/(4\cdot6)=(-26)/(24)\\\\=(-13)/(12)=-1(1)/(12)

The sum is -1 1/12
User Mariux
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