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Если я верно понял условие:
![frac{m - 8}{5m} : frac{m^2-64}{15m^2} = frac{m - 8}{5m} * frac{15m^2}{m^2-8^2} = frac{m-8}{5m} * frac{3m*5m}{(m-8)(m+8)} = \ \
= frac{3m * 5m(m-8)}{(m+8) * 5m(m - 8)} = frac{3m}{m+8}](https://tex.z-dn.net/?f=+frac%7Bm+-+8%7D%7B5m%7D+%3A++frac%7Bm%5E2-64%7D%7B15m%5E2%7D+%3D++frac%7Bm+-+8%7D%7B5m%7D++%2A++frac%7B15m%5E2%7D%7Bm%5E2-8%5E2%7D+%3D++frac%7Bm-8%7D%7B5m%7D++%2A++frac%7B3m%2A5m%7D%7B%28m-8%29%28m%2B8%29%7D+%3D+%5C++%5C+%0A%3D+frac%7B3m+%2A+5m%28m-8%29%7D%7B%28m%2B8%29+%2A+5m%28m+-+8%29%7D++%3D++frac%7B3m%7D%7Bm%2B8%7D+ "frac{m - 8}{5m} : frac{m^2-64}{15m^2} = frac{m - 8}{5m} * frac{15m^2}{m^2-8^2} = frac{m-8}{5m} * frac{3m*5m}{(m-8)(m+8)} = \ \
= frac{3m * 5m(m-8)}{(m+8) * 5m(m - 8)} = frac{3m}{m+8}")
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