Question

3/7×(5/6+12/13)=(3/7×5/6)+(3/7×12/13​

Answer 1

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$\frac{3}{7} \times ( \frac{5}{6} + \frac{12}{13} ) = ( \frac{3}{7} \times \frac{5}{6} ) + ( \frac{3}{7} \times \frac{12}{13} ) \\ \frac{3}{7} \times ( \frac{65 + 72}{78} = \frac{137}{78} ) = ( \frac{1}{7} \times \frac{5}{2} = \frac{5}{14} ) + ( \frac{36}{39} ) \\ \frac{3}{7 } \times \frac{137}{78} = \frac{5}{14} + \frac{36}{39} \\ \frac{137}{182} = ( \frac{195 + 504}{546} = \frac{699}{546} ) \\ \frac{137}{182} = 1 \times \frac{51}{182}$