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\displaystyle \displaystyle a \left( \frac{b}{c} \right) = \frac{ab}{c}
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\displaystyle \displaystyle \frac{a}{b} + \frac{c}{b} = \frac{a+c}{b}
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\displaystyle \displaystyle \frac{a}{b} - \frac{c}{b} = \frac{a-c}{b}
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\displaystyle \displaystyle \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}
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\displaystyle \displaystyle \frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd}
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\displaystyle \displaystyle \frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}
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\displaystyle \displaystyle \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{ad}{bc}
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