Tìm a, biết: a × 3 + 3/24 + 3/25 + 3/245
Giải thích
a × \[\frac{{3 + \frac{3}{{24}} + \frac{3}{{25}} + \frac{3}{{2425}}}}{{5 + \frac{5}{{24}} + \frac{5}{{25}} + \frac{5}{{2425}}}}\] = \[\frac{5}{3}\]
a × \[\frac{{3{\rm{ }} \times {\rm{ }}\left( {1 + \frac{1}{{24}} + \frac{1}{{25}} + \frac{1}{{2425}}} \right)}}{{{\rm{5 }} \times {\rm{ }}\left( {1 + \frac{1}{{24}} + \frac{1}{{25}} + \frac{1}{{2425}}} \right)}}\] = \[\frac{5}{3}\]
a × \[\frac{3}{5}\] = \[\frac{5}{3}\]
a = \[\frac{5}{3}\] : \[\frac{3}{5}\]
a = \[\frac{{25}}{9}\]