Odpowiedź:
(7/9 - 47/72):(1 + 1/4) = 4/40 = 1/10
6 • (3/3 + 1/3)² = 30/3 + 2/3 = 10 + 2/3
(5/7)²: 5/7 = 5/7
(1/3 - 1/4)² = (4/12 - 3/12)² = (1/12)² = 1/144
(2/5)² + (8/2 + 1/2) • (6/3 + 2/3) = 12 + 4/25
5 • (1/2)² + 15 • (1/3)² = 2 + 11/12
1/9 - (5/2 - 2/6)² = 1/12
Szczegółowe wyjaśnienie:
(7/9 - 47/72):(1 + 1/4) = (56/72 - 47/72):(4/4 + 1/4) =
9/72 : 5/4 = 1/8 • 4/5 =
[9/72 : 5/4 = 1/8 • 4/5, podzielić przez ułamek = działaniem równoważnym jest pomnożyć przez odwrotność tego ułamka] to
= 4/40 = 1/10
6 • (3/3 + 1/3)² = 6 • (4/3)² = 6•16/9 = 2•16/3 = 32/3 = 30/3 + 2/3 = 10 + 2/3
(5/7)²: 5/7 = 5/7
(1/3 - 1/4)² = (4/12 - 3/12)² = (1/12)² = 1/144
(2/5)² + (8/2 + 1/2) • (6/3 + 2/3) = 4/25 + (9/2) • 8/3 = 4/25 + 72/6 =
= 12 + 4/25
5 • (1/2)² + 15 • (1/3)² = 5 • 1/4 + 15 • 1/9 = 5/4 + 15/9 = 45/36 + 60/36 =
= 105/36 = 72/36 + 33/36 = 2 + 11/12
1/9 - (5/2 - 2/6)² = 1/9 - (5/6 - 4/6)² = 1/9 - (1/6)² = 1/9 - 1/36 =
= 4/36 - 1/36 = 3/36 = 1/12
