Oblicz z rozpisem: a) 2/3 * 1/4= 5/8 * 2/5= 1/2 * 6/7= 5/6 * 9/10= b) 1 (cała) 1/2 * 5/6= 3/4 * 2 (całe) 1/3= 7/9 * 1 (cała) 1/3= 3 (całe) 1/3 * 3/10= c) 1 (cała) 2/3 * 1 (cała) 4/5= 1 (cała) 3/8 * 1 (cała) 1/3= 2 (całe) 1/4 * 1 (cała) 1/3=

a). 2/3 · 1/4 = 1/6 5/8 · 2/5 = 1/4 1/2 · 6/7 = 3/7 5/6 · 9/10 = 3/4 b). 1 i 1/2 · 5/6 = 3/2 · 5/6 = 5/4 = 1 i 1/4 3/4 · 2 i 1/3 = 3/4 · 7/3 = 7/4 = 1 i 3/4 7/9 · 1 i 1/3 = 7/9 · 4/3 = 28/27 = 1 i 1/27 3 i 1/3 · 3/10 = 10/3 · 3/10 = 1 c). 1 i 2/3 · 1 i 4/5 = 5/3 · 9/5 = 3 1 i 3/8 · 1 i 1/3 = 11/8 · 4/3 = 11/6 = 1 i 5/6 2 i 1/4 · 1 i 1/3 = 9/4 · 4/3 = 3 3 i 1/3 · 1 i 2/10 = 10/3 · 12/10 = 4 d). (2/3)²= 2/3 · 2/3 = 4/9 (1/4)³ = 1/4 · 1/4 · 1/4 = 1/64 (1 i 1/2)³ = (3/2)³ = 3/2 · 3/2 · 3/2 = 27/8 = 3 i 3/8 (2 i 2/5)² = (12/5)² = 12/5 · 12/5 = 144/25 = 5 i 19/25

2/3 × 1/4 = 2×1 / 3×4 = 2/12 = 1/6 5/8 × 2/5 = 5×2 / 8×5 = 10/40 = 1/4 1/2 × 6/7 = 1×6 / 6×7= 6/42 = 1/7 5/6 × 9/10 = 5×9 / 6×10= 45/60 = 3/4 1 i 1/2 × 5/6 = 3/2 × 5/6 = 3×5 / 2×6 = 15/12 = 1 i 3/12 = 1 i 1/4 3/4 × 2 i 1/3 = 3/4 × 7/3 = 3×7 / 4×3 = 21/12 = 1 i 9/12 = 1 i 3/4 7/9 × 1 i 1/3 = 7/9 × 4/3 = 7×4 / 9×3 = 28/27 = 1 i 1/27 3 i 1/3 × 3/10 = 10/3 × 3/10 = 10×3 / 3×10 = 30/30 = 1/1 = 1 1 i 2/3 × 1 i 4/5 = 5/3 × 9/5 = 5×9 / 3×5 = 45/15 = 3/1 = 3 1 i 3/8 × 1 i 1/3 = 11/8 × 4/3 = 11×4 / 8×3 = 44/24 = 1 i 20/24 = 1 i 5/6 2 i 1/4 × 1 i 1/3 = 9/4 × 4/3 = 9×4 / 4×3 = 36/12 = 3/1 = 3 3 i 1/3 × 1 i 2/10 = 10/3 × 1 i 1/5 = 10/3 × 6/5 = 10×6 / 3×5 = 60/15 = 4/1 = 4 (2/3)^2 = 2/3 × 2/3 = 4/9 (1/4)^3 = 1/4 × 1/4 × 1/4 = 1/16 × 1/4 = 1/64 (1 i 1/2)^3 = (3/2)^3 = 3/2 × 3/2 × 3/2 = 9/4 × 3/2 = 27/8 = 3 i 3/8 (2 i 2/5)^2 = (12/5)^2 = 12/5 × 12/5 = 144/25 = 5 i 19/25 Gdybyś nie wiedział(a) "^" to znak potęgowania. Powodzenia w odrabianiu lekcji. ;) Trochę to długie nie sądzisz? ;D