Tìm x hỗn số: a) x + 2 {3}/{4} = 5 2/3 b) x - 1 4/{5} = 3 2/7
Giải thích
a) \(x + 2\frac{3}{4} = 5\frac{2}{3}\)
\(x = 5\frac{2}{3} - 2\frac{3}{4}\)
\(x = 3 + \left( {\frac{2}{3} - \frac{3}{4}} \right)\)
\(x = 3 - \frac{1}{{12}}\)
\(x = \frac{{35}}{{12}}\)
\[x = 2\frac{{11}}{{12}}\]
b) \(x - 1\frac{4}{5} = 3\frac{2}{7}\)
\(x = \frac{{23}}{7} + \frac{9}{5}\)
\(x = \frac{{178}}{{35}} = 5\frac{3}{{35}}\)
c) \(x.3\frac{1}{2} = 4\frac{3}{4}\)
\[x.\frac{7}{2} = \frac{{19}}{4}\]
\[x = \frac{{19}}{4}:\frac{7}{2}\]
\[x = \frac{{19}}{{14}} = 1\frac{5}{{14}}\]
d) \(x:2\frac{2}{3} = 4\frac{1}{3}\)
\(x:\frac{8}{3} = \frac{{13}}{3}\)
\(x = \frac{{13}}{3}.\frac{8}{3}\)
\(x = \frac{{104}}{9} = 11\frac{5}{9}\)