Question

Решите уравнение а) 6 1/6-(х+0,375)=3 7/24 б)8 1/4-(х-3 5/9)=2 7/12 решите вас!

Answer 1

A)  $6 \frac{1}{6} -(x+0.375)=3 \frac{7}{24} \\ \\ \frac{37}{6} -x-0.375= \frac{79}{24} \\ \\ \frac{37}{6} - \frac{375}{1000} -x= \frac{79}{24} \\ \\ \frac{37}{6} - \frac{3}{8} -x= \frac{79}{24} \\ \\ \frac{148-9}{24} -x= \frac{79}{24} \\ \\ \frac{139}{24} - \frac{79}{24} =x \\ \\ x= \frac{60}{24} \\ \\ x= \frac{30}{12} \\ \\ x= \frac{5}{2} \\ \\ x=2.5$

б) $8 \frac{1}{4} -(x-3 \frac{5}{9} )=2 \frac{7}{12} \\ \\ \frac{33}{4} -x+ \frac{32}{9} = \frac{31}{12} \\ \\ x= \frac{33*9+32*4-31*3}{36} \\ \\ x= \frac{297+128-93}{36} \\ \\ x= \frac{332}{36} \\ \\ x= \frac{166}{18} \\ \\ x= \frac{83}{9} \\ \\ x=9 \frac{1}{3}$