What is (1/2-5/3)/(3/2-3/4) ?

The solution to (1/2-5/3)/(3/2-3/4) is -14/9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1/2-5/3)/(3/2-3/4)

simplify

\frac{\frac{1}{2} - \frac{5}{3}}{\frac{3}{2} - \frac{3}{4}}

- \frac{14}{9}

Decimal Notation

- 1.55555 \dots

Solution steps

\frac{\frac{1}{2} - \frac{5}{3}}{\frac{3}{2} - \frac{3}{4}}

\frac{1}{2} - \frac{5}{3} = - \frac{7}{6}

= \frac{- \frac{7}{6}}{\frac{3}{2} - \frac{3}{4}}

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

= \frac{- \frac{7}{6}}{\frac{3}{4}}

Apply the fraction rule:

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

= - \frac{\frac{7}{6}}{\frac{3}{4}}

Apply the fraction rule:

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

\frac{\frac{7}{6}}{\frac{3}{4}} = \frac{7 \cdot 4}{6 \cdot 3}

= - \frac{7 \cdot 4}{6 \cdot 3}

Cancel

- \frac{7 \cdot 4}{6 \cdot 3} : - \frac{14}{9}

= - \frac{14}{9}

1 2^{2} + 5^{2}

m^{2} - 30 m - 675

12 x^{2} - 54 x - 336

\frac{2}{3} (m - 3) = 1