Question

алгебра задание на фото привести 4 общему знаменателю. ​

Answer 1

Объяснение:

а)

1. $\frac{1}{2} + \frac{1}{4} = \frac{4 + 2}{8} = \frac{6}{8} = \frac{3}{4} \\ \\ \frac{1}{2} + \frac{5}{7} = \frac{7 + 10}{14} = \frac{17}{14} = 1 \times \frac{3}{14} \\ \\ \frac{1}{4} + \frac{5}{6} = \frac{3 + 10}{12} = \frac{13}{12} = 1 \times \frac{1}{12}$

б)

$\frac{5}{8} + \frac{5}{24} = \frac{15 + 5}{24} = \frac{20}{25} = \frac{4}{5} \\ \\ \frac{4}{5} + \frac{1}{6} = \frac{24 + 5}{30} = \frac{29}{30} \\ \\ \frac{3}{20} + \frac{7}{25} = \frac{15 + 24}{100} = \frac{39}{100}$

В)

$\frac{1}{2} - \frac{1}{8} = \frac{4 - 1}{8} = \frac{3}{8} \\ \\ \frac{1}{2} - \frac{1}{3} = \frac{3 - 2}{6} = \frac{1}{6} \\ \\ \frac{5}{6} - \frac{3}{8} = \frac{20 - 9}{24} = \frac{11}{24}$

Г)

$\frac{3}{4} - \frac{1}{12} = \frac{9 - 1}{12} = \frac{8}{12} = \frac{2}{3} \\ \\ \frac{5}{7} - \frac{2}{3} = \frac{15 - 14}{21} = \frac{1}{21} \\ \\ \frac{9}{10} - \frac{3}{4} = \frac{18 - 15}{20} = \frac{3}{20}$