Question

Решите уравнения: а)х+9 7/10=28 2/15 б)11 3/4-у=5 15/34 в)7 27/44+а=18 51/55

Answer 1

$x+9 \frac{7}{10} =28 \frac{2}{15}; \\ x=28 \frac{2}{15}-9 \frac{7}{10}; \\ x=28 \frac{2*2}{15*2}-9 \frac{7*3}{10*3}; \\ x=28 \frac{4}{30}-9 \frac{21}{30}; \\ x=27\frac{34}{30}-9 \frac{21}{30}; \\ x=18 \frac{13}{30} \\ \\ 11 \frac{3}{4} -y=5 \frac{15}{34}; \\ y= 11 \frac{3}{4}-5\frac{15}{34}; \\ y= 11 \frac{3*17}{4*17}-5\frac{15*2}{34*2}; \\ y= 11 \frac{51}{68}-5\frac{30}{68}; \\ y= 6 \frac{21}{68}; \\$

$\\ 7 \frac{27}{44} +a=18 \frac{51}{55} ; \\ a=18 \frac{51}{55} -7 \frac{27}{44}; \\ a=18 \frac{51*4}{55*4} -7 \frac{27*5}{44*5}; \\ a=18 \frac{204}{55*4} -7 \frac{135}{44*5}; \\ a=11 \frac{69}{220}$