Question

решите пожалуйста уравнение (4×+3 5/8)*4/9=2 1/2

Answer 1

$(4x+ 3 \frac{5}{8} ) * \frac{4}{9} = 2 \frac{1}{2} \\ \\ 4x+ 3 \frac{5}{8} = 2 \frac{1}{2} : \frac{4}{9} \\ \\ 4x+ 3 \frac{5}{8} = \frac{5}{2} * \frac{9}{4} \\ \\ 4x + 3 \frac{5}{8} = 5 \frac{5}{8} \\ \\ 4x = 5 \frac{5}{8} - 3 \frac{5}{8} \\ \\ 4x = 2 \\ \\ x = 2 : 4 = \frac{2}{4} \\ \\ x = \frac{1}{2}$

проверим:
$(4*\frac{1}{2} + 3 \frac{5}{8} ) * \frac{4}{9} = 2 \frac{1}{2} \\ \\ (2 + 3 \frac{5}{8} ) * \frac{4}{9} = 2 \frac{1}{2} \\ \\ 5 \frac{5}{8} * \frac{4}{9} = 2 \frac{1}{2} \\ \\ \frac{45}{8} * \frac{4}{9} = 2 \frac{1}{2} \\ \\ \frac{5*1}{2*1} = 2 \frac{1}{2} \\ \\ 2 \frac{1}{2} =2 \frac{1}{2}$