Решите уравненияа) x+5/24=2/3+7/12 б) (3/8-х) - 1/5=1/20

Решим уравнения, приводя дроби к общему знаменателю:

1) х + 5/24 = 2/3 + 7/12;

2/3 + 7/12 = (2 * 4) / (3 * 4) + 7/12 = 8/12 + 7/12 = (8 + 7) / 12 = 15/12 = 1 3/12 = 1 3 / (3 * 4) = 1 1/4.

х + 5/24 = 1 1/4;

х = 1 1/4 - 5/24;

1 1/4 - 5/24 = 5/4 - 5/24 = (5 * 6) / 24 - 5/24 = 30/24 - 5/24 = 25/24 = 1 1/24.

х = 1 1/24.

2) (3/8 - х) - 1/5 = 1/20;

3/8 - х = 1/20 + 1/5;

1/20 + 1/5 = 1/20 + 4/20 = 5/20 = 5 / (5 * 4) = 1/4.

3/8 - х = 1/4;

3/8 - 1/4 = х;

3/8 - 1/4 = 3/8 - (1 * 2) / (4 * 2) = 3/8 - 2/8 = (3 - 2) / 8 = 1/8.

х = 1/8.