What is (y/2-1/x}{\frac{6y)/x} ?

The solution to (y/2-1/x}{\frac{6y)/x} is (yx-2)/(12y)

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simplify (y/2-1/x}{\frac{6y)/x}

simplify

\frac{\frac{y}{2} - \frac{1}{x}}{\frac{6 y}{x}}

\frac{y x - 2}{12 y}

Solution steps

\frac{\frac{y}{2} - \frac{1}{x}}{\frac{6 y}{x}}

Apply the fraction rule:

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

= \frac{( \frac{y}{2} - \frac{1}{x} ) x}{6 y}

Simplify

(\frac{y}{2} - \frac{1}{x}) x : \frac{y x - 2}{2}

= \frac{\frac{y x - 2}{2}}{6 y}

Apply the fraction rule:

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

= \frac{y x - 2}{2 \cdot 6 y}

Multiply the numbers:

2 \cdot 6 = 12

= \frac{y x - 2}{12 y}

- 5 x \geq 50

\frac{7 x}{2} + 5 = 8

x^{2} + 20 = 2 x

5 (2 x + 1) - 3 (x - 3) = 63

\frac{2 x}{7} - 5 = x

What is (y/2-1/x}{\frac{6y)/x} ?
The solution to (y/2-1/x}{\frac{6y)/x} is (yx-2)/(12y)