Question

Решите а)2,4: x=6: 4,5 б)у: 4,2=3,4: 5,1 в)0,375: 1,04=3 11/13: 4x г)12-(x+1 3/8)=10 7/24 д)(x-1 5/6)+22 3/6=25

Answer 1

А) $\frac{2.4}{x} = \frac{6}{4.5}$
2,4×4,5=6х
10,8=6х
х=1,8

б) $\frac{y}{4.2} = \frac{3.4}{5.1}$
5,1у=3,4×4,2
5,1у=14,28
у=2,8

в) $\frac{0.375}{1.04} = \frac{3 \frac{11}{13} }{4x}$
0,375×4х=1,04×3$\frac {11}{13}$
1,5х=$\frac {104}{100} \times \frac {50}{13}$
1,5x=$\frac {5200}{1300}$
1,5x=4
x=4÷$\frac {15}{10}$
x=4×$\frac {10}{15}$
x=$\frac{40}{15}$
x=$2 \frac {10}{15}$

г) 12-(x+1$\frac{3}{8}$)=10$\frac {7}{24}$
x+1$\frac{3}{8}$ =12-10$\frac {7}{24}$
x+1$\frac{3}{8}$=11$\frac {24}{24}$-10$\frac {7}{24}$
x+1$\frac{3}{8}$=$1 \frac {17}{24}$
x=$1 \frac {17}{24} - 1 \frac{3}{8}$
x=$1 \frac {17}{24} - 1 \frac{9}{24}$
x=$\frac {41}{24} - \frac {33}{24}$
x=$\frac {8}{24}$
x=$\frac {1}{3}$