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

The solution to -2 3/4 \div 5/(-9) is 4 19/20

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-2 3/4 \div 5/(-9)

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

4 \frac{19}{20}

Solution steps

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

Convert mixed numbers to improper fractions:

2 \frac{3}{4} = \frac{11}{4}

= - \frac{11}{4} \div \frac{5}{- 9}

Apply the fraction rule:

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

= - \frac{11}{4} \times \frac{- 9}{5}

Apply the fraction rule:

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

= - \frac{11}{4} (- \frac{9}{5})

Apply rule

- (- a) = a

= \frac{11}{4} \times \frac{9}{5}

Multiply fractions:

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

= \frac{11 \times 9}{4 \times 5}

Multiply the numbers:

11 \times 9 = 99

= \frac{99}{4 \times 5}

Multiply the numbers:

4 \times 5 = 20

= \frac{99}{20}

Convert improper fractions to mixed numbers:

\frac{99}{20} = 4 \frac{19}{20}

= 4 \frac{19}{20}

47 \cdot 53

14 - \frac{1}{2}

\frac{4 x + 28 - 4}{x + 3}

(s + 2 j) (s - 2 j)

- 1 - \frac{1}{5}