What is (3/8-5/6)/(4/3+2/9*27/9) ?

The solution to (3/8-5/6)/(4/3+2/9*27/9) is -11/48

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simplify (3/8-5/6)/(4/3+2/9*27/9)

simplify

\frac{\frac{3}{8} - \frac{5}{6}}{\frac{4}{3} + \frac{2}{9} \cdot \frac{27}{9}}

- \frac{11}{48}

Decimal Notation

- 0.22916 \dots

Solution steps

\frac{\frac{3}{8} - \frac{5}{6}}{\frac{4}{3} + \frac{2}{9} \cdot \frac{27}{9}}

\frac{3}{8} - \frac{5}{6} = - \frac{11}{24}

= \frac{- \frac{11}{24}}{\frac{4}{3} + \frac{2}{9} \cdot \frac{27}{9}}

\frac{4}{3} + \frac{2}{9} \cdot \frac{27}{9} = 2

= \frac{- \frac{11}{24}}{2}

Apply the fraction rule:

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

= - \frac{\frac{11}{24}}{2}

Apply the fraction rule:

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

\frac{\frac{11}{24}}{2} = \frac{11}{24 \cdot 2}

= - \frac{11}{24 \cdot 2}

Multiply the numbers:

24 \cdot 2 = 48

= - \frac{11}{48}

\frac{30}{75}

6 (3 x + 4) - 6 (2 x - 2)

\frac{11}{3} - \frac{5}{6}

- x^{2} + 3 x + 10

5 \div \frac{3}{4}

What is (3/8-5/6)/(4/3+2/9*27/9) ?
The solution to (3/8-5/6)/(4/3+2/9*27/9) is -11/48