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Simplify the following expressions $\dfrac{4}{7} \times \dfrac{5}{6}$
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$\frac {4}{7} \times \frac{5}{6}$

$= \frac {4 \times 5}{7 \times 6}$                  ( making use of $\frac{a}{c} \times \frac{c}{d} = \frac{a \times c}{b \times d}$)

$= \frac{20}{42}$

$=\frac {10}{21}$                     (dividing both the numerator and the denominator by a common factor 2)
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