What is -3 1/2 \div 4/9 ?

The solution to -3 1/2 \div 4/9 is -7 7/8

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-3 1/2 \div 4/9

- 3 \frac{1}{2} \div \frac{4}{9}

- 7 \frac{7}{8}

Solution steps

- 3 \frac{1}{2} \div \frac{4}{9}

Convert mixed numbers to improper fractions:

3 \frac{1}{2} = \frac{7}{2}

= - \frac{7}{2} \div \frac{4}{9}

Apply the fraction rule:

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

= - \frac{7}{2} \times \frac{9}{4}

Multiply fractions:

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

= - \frac{7 \times 9}{2 \times 4}

Multiply the numbers:

7 \times 9 = 63

= - \frac{63}{2 \times 4}

Multiply the numbers:

2 \times 4 = 8

= - \frac{63}{8}

Convert improper fractions to mixed numbers:

\frac{63}{8} = 7 \frac{7}{8}

= - 7 \frac{7}{8}

(x^{2} + 6 x - 15) - (4 x^{2} - 3 x - 5)

\frac{( 3.542 \cdot 1 0 ^{- 6} ) ^{9}}{( 5.05 \cdot 1 0 ^{4} ) ^{12}}

\frac{39}{64}

47 + 328

1 - \frac{99}{100}