What is (4-2/3)/(2/5-6) ?

The solution to (4-2/3)/(2/5-6) is -25/42

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simplify (4-2/3)/(2/5-6)

simplify

\frac{4 - \frac{2}{3}}{\frac{2}{5} - 6}

- \frac{25}{42}

Decimal Notation

- 0.59523 \dots

Solution steps

\frac{4 - \frac{2}{3}}{\frac{2}{5} - 6}

4 - \frac{2}{3} = \frac{10}{3}

= \frac{\frac{10}{3}}{\frac{2}{5} - 6}

\frac{2}{5} - 6 = - \frac{28}{5}

= \frac{\frac{10}{3}}{- \frac{28}{5}}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{\frac{10}{3}}{\frac{28}{5}}

Apply the fraction rule:

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

\frac{\frac{10}{3}}{\frac{28}{5}} = \frac{10 \cdot 5}{3 \cdot 28}

= - \frac{10 \cdot 5}{3 \cdot 28}

Cancel

- \frac{10 \cdot 5}{3 \cdot 28} : - \frac{25}{42}

= - \frac{25}{42}

4 x + 18

\frac{1}{1.4142}

2 ln (4)

\frac{3}{8} - \frac{2}{3}

x^{3} - 5 x^{2} + 4 x