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

The solution to -2 3/4 \div 1/2 is -5 1/2

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-2 3/4 \div 1/2

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

- 5 \frac{1}{2}

Solution steps

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

Convert mixed numbers to improper fractions:

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

= - \frac{11}{4} \div \frac{1}{2}

Apply the fraction rule:

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

= - \frac{11}{4} \times \frac{2}{1}

Cross-cancel common factor:

2

= - \frac{11}{2}

Convert improper fractions to mixed numbers:

\frac{11}{2} = 5 \frac{1}{2}

= - 5 \frac{1}{2}

\frac{6 a b ^{5}}{12 a ^{4} b ^{3}}

- 10 x^{2} - 7 x + 12

(6 x^{2} + 10 x - 7) + (- x^{2} - 8 x)

\frac{1}{2 + h} - \frac{1}{2}

- 58