What is 2/9-5/6 \div 4/3 ?

The solution to 2/9-5/6 \div 4/3 is -29/72

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2/9-5/6 \div 4/3

\frac{2}{9} - \frac{5}{6} \div \frac{4}{3}

- \frac{29}{72}

Solution steps

\frac{2}{9} - \frac{5}{6} \div \frac{4}{3}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{2}{9} - \frac{5}{6} \times \frac{3}{4}

\frac{5}{6} \times \frac{3}{4} = \frac{5}{8}

= \frac{2}{9} - \frac{5}{8}

Least Common Multiplier of

9, 8 : 72

Adjust Fractions based on the LCM

= \frac{16}{72} - \frac{45}{72}

Since the denominators are equal, combine the fractions:

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

= \frac{16 - 45}{72}

Subtract the numbers:

16 - 45 = - 29

= \frac{- 29}{72}

Apply the fraction rule:

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

= - \frac{29}{72}

18 a^{5}

h u mm e l - b^{957}

\frac{3 + i ^{240} + 2 i}{1 - i ^{415} - i} + i^{- 17}

\frac{28 u ^{- 2} v ^{3}}{4 u ^{2} v ^{2}}