Question

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Answer 1

$\frac{5x}{2a} + \frac{3x}{2a} = \frac{5x + 3x}{2a} = \frac{8x}{2a} = \frac{4x}{a}$

$\frac{a + b}{12} - \frac{a - 5b}{12} = \frac{a + b -( a - 5b)}{12} = \frac{a + b - a + 5b}{12} = \frac{6b}{12} = \frac{b}{2}$

$\frac{b - 3}{5} + \frac{13 - b}{5} = \frac{b - 3 + 13 - b}{5} = \frac{10}{5} = 2$

$\frac{a + 2b}{8} + \frac{3a + 6b}{8} = \frac{a + 2b + 3a + 6b}{8} = \frac{4a + 8b}{8} = \frac{4(a + 2b)}{8} = \frac{a + 2b}{2}$

$\frac{6m - 3}{10m} - \frac{m - 13}{10m} = \frac{6m - 3 - (m - 13)}{10m} = \frac{6m - 3 - m + 13}{10m} = \frac{5m + 10}{10m} = \frac{5(m + 2)}{10m} = \frac{m + 2}{2m}$

$\frac{5x - 3}{4x} + \frac{11 - x}{4x} = \frac{5x - 3 + 11 - x}{4x} = \frac{4x +8 }{4 {}x } = \frac{4(x + 2)}{4x} = \frac{x + 2}{x}$