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

The solution to 2/3+(3x+4y)/(3y) is (x+2y)/y

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

simplify

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

\frac{x + 2 y}{y}

Solution steps

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

Least Common Multiplier of

3, 3 y : 3 y

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

2 y + 3 x + 4 y : 3 x + 6 y

= \frac{3 x + 6 y}{3 y}

Cancel

\frac{3 x + 6 y}{3 y} : \frac{x + 2 y}{y}

= \frac{x + 2 y}{y}

lo g_{1.05} (2)

30 x^{3} y + 35 x^{2} y^{3}

- 6 k^{2} - 13 k - 6

\frac{x}{4} + 11 \geq 8

- 1 - 6 x < 7