[tex] \frac{1}{7} + \frac{1}{8} = \frac{1 \times 8}{7 \times 8} + \frac{1 \times 7}{8 \times 7} = \frac{8}{56} + \frac{7}{56} \\ \\ \frac{8}{56} + \frac{7}{56} = \frac{8 + 7}{56} = \frac{15}{56} [/tex]
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[tex] \frac{1}{7} + \frac{1}{8} = \frac{1 \times 8}{7 \times 8} + \frac{1 \times 7}{8 \times 7} = \frac{8}{56} + \frac{7}{56} \\ \\ \frac{8}{56} + \frac{7}{56} = \frac{8 + 7}{56} = \frac{15}{56} [/tex]