What is (2+2/3)/(2-1/2) ?

The solution to (2+2/3)/(2-1/2) is 16/9

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simplify (2+2/3)/(2-1/2)

simplify

\frac{2 + \frac{2}{3}}{2 - \frac{1}{2}}

\frac{16}{9}

Decimal Notation

1.77777 \dots

Solution steps

\frac{2 + \frac{2}{3}}{2 - \frac{1}{2}}

2 + \frac{2}{3} = \frac{8}{3}

= \frac{\frac{8}{3}}{2 - \frac{1}{2}}

2 - \frac{1}{2} = \frac{3}{2}

= \frac{\frac{8}{3}}{\frac{3}{2}}

Apply the fraction rule:

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

= \frac{8 \cdot 2}{3 \cdot 3}

Multiply the numbers:

8 \cdot 2 = 16

= \frac{16}{3 \cdot 3}

Multiply the numbers:

3 \cdot 3 = 9

= \frac{16}{9}

2 \frac{3}{4} \cdot \frac{4}{5}

x^{\frac{3}{2}} \cdot \frac{1}{x}

(\frac{6 - 2 x}{3})^{3}

- 3 + - 7