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b) 3/20 - 5/12 = 3(12) - 5(20)/20(12) = 36 - 100/240 = - 64/240 Simplificar dividiendo entre 8 = 8/30, mitad = 4/15
c) 2/3 - (1/2 - 1/3) = 2/3 - (3 - 2/6) = 2/3 - (1/6) = 2/3 - 1/6 = 2(6) - 3(1)/3(6) = 12 - 3/18 = 9/18 simplificar = 1/2
d) 2 - (- 1/3) + 2/5 = 2 + 1/3 + 2/5 = por partes 2 + 1/3 = 7/3, 7/3 + 2/5 = 7(5) + 3(2)/3(5) = 35 + 6/15 = 41/15
e) 1/3 + 2 - (2 - 1/2) + ( - 4/5) + 1
7/3 - (3/2) - 4/5 + 1
7/3 - 3/2 + 1/5
(7/3 - 3/2) + 1/5
(14 - 9/6) + 1/5
5/6 + 1/5 = 5(5) + 6(1)/6(5) = 25 + 6/30 = 31/30
f) [ (3/4 - 1/3) : 4/3 + 1] ÷ (- 3/4 + 1/3) · 3/2
[ 9 - 4/12 : 7/3] ÷ (-9 + 4/12) · 3/2
[ 5/12 : 7/3] ÷ (-5/12) · 3/2
[5/12 · 3/7] ÷ (-5/12) · 3/2
[15/84] ÷ (-15/24) Simplificar
[5/28] ÷ (-5/8) Convertir a multiplicación
5/28 × (-8/5) Eliminar los 5
- 8/28 = - 4/14 = - 2/7
g) (3 - 7/4) · (1/3 + 7/15)
-------------------------------------
2 · (2/5 - 2/7)
(12- 7/4) · (15 + 21/45)
---------------------------------------
2 · (14 - 10/35)
(5/4) · (36/45) 180 / 180 1 8
----------------------- = ---------------- = ----------- = -------
2 · ( 4/35) 8/ 35 8/35 35
h) (- 1/2)³ · (- 1/2)⁴ · (- 1/2)⁻² = (- 1/2)³⁺⁴⁻² = (- 1/2)⁵
i) √1 + 11/25 = √ 25 + 11/25 = √36/25 = √36/√25 = 6/5
j) √7/2 + (-5/4) = √7/2 - 5/4 = √28 - 10/8 = √18/8 simplificar = √9/4 = 3/2
k) √120/49 + 2/7 (-10/7) = √120/49 - 20/49 = √100/49 = √100/√49 = 10/7
l) √7/2 · 1/2 - 3 · (- 7/2) = √147/8 = simplificar √(3·49)/2·(4)
= √3 · √49 /√2 · √4 = 7√3/2·√2
7 √3
= ---------
2 √2