What is (3x+3)/(3x+2)+(4x-2)/(3x+2) ?

The solution to (3x+3)/(3x+2)+(4x-2)/(3x+2) is (7x+1)/(3x+2)

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simplify (3x+3)/(3x+2)+(4x-2)/(3x+2)

simplify

\frac{3 x + 3}{3 x + 2} + \frac{4 x - 2}{3 x + 2}

\frac{7 x + 1}{3 x + 2}

Solution steps

\frac{3 x + 3}{3 x + 2} + \frac{4 x - 2}{3 x + 2}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{3 x + 3 + 4 x - 2}{3 x + 2}

Simplify

3 x + 3 + 4 x - 2 : 7 x + 1

= \frac{7 x + 1}{3 x + 2}

\frac{- 11 - 27 i}{4 - i}

\frac{5 + 3 i}{- 10 - 3 i}

1 6^{0.25}

\frac{1}{2} \div \frac{3}{5}

\frac{1}{2} \div \frac{3}{2}

What is (3x+3)/(3x+2)+(4x-2)/(3x+2) ?
The solution to (3x+3)/(3x+2)+(4x-2)/(3x+2) is (7x+1)/(3x+2)