Add (3a)/(bc)+(2b)/(ac)

3abc+2bac

To write 3abc as a fraction with a common denominator, multiply by aa.

3abc⋅aa+2bac

To write 2bac as a fraction with a common denominator, multiply by bb.

3abc⋅aa+2bac⋅bb

Write each expression with a common denominator of bca, by multiplying each by an appropriate factor of 1.

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Multiply 3abc and aa.

3a⋅abca+2bac⋅bb

Multiply 2bac and bb.

3a⋅abca+2b⋅bacb

Reorder the factors of bca.

3a⋅aabc+2b⋅bacb

Reorder the factors of acb.

3a⋅aabc+2b⋅babc

Combine the numerators over the common denominator.

3a⋅a+2b⋅babc

Simplify the numerator.

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Multiply a by a by adding the exponents.

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Move a.

3(a⋅a)+2b⋅babc

Multiply a by a.

3a2+2b⋅babc

Multiply b by b by adding the exponents.

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Move b.

3a2+2(b⋅b)abc

Multiply b by b.

3a2+2b2abc

Add (3a)/(bc)+(2b)/(ac)

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