Odpowiedź:
a) 9/5 + 1/6 =54/30 + 5/30 = 59/30 = 1 29/30
b) 1 2/3 + 1 3/4 = 5/3 + 7/4= 20/12 + 21/12 = 41/12 = 3 5/12
c) 9/5 - 2/7 = 63/35 - 10/35 = 53/35 = 1 18/35
d) 2 1/3 - 1 3/4 = 7/3 - 7/4 = 28/12 - 21/12 = 7/12
e) 6/15 * 12/30 =1/15 * 12/5 = 12/75
f) 1 3/5 * 2 1/12 = 8/5 * 25/12 =2/1 * 5/3 = 10/3 = 1/3
g) 5/12 * 8 * 9/25 = 5/12 * 8/1 * 9/25 = 1/4 * 2/1 * 9/5 = 1/2 * 1/1 * 9/5 = 9/10
h) 3/5 : 9/10 = 3/5 * 10/9 = 2/3
i) 2 3/4 : 3 1/7 = 11/4 : 22/7 = 11/4 * 7/22 = 1/4 * 7/2 = 7/8
j) 7 1/2 + ( 2 3/4 - 1 1/3+ = 15/2 + (11/4 - 4/3) = 15/2 + (33/12 - 16/12) = 15/2 + 17/12 = 90/12 + 17/12 = 107/12 = 8 11/12
k) 6 1/2 *2 3/13 * 1 3/4 = 13/2 * 29/13 * 7/4 = 203/8 = 25 3/8
l) ( 5 : 1 2/3 +6 1/2) * 2 = (5/1 : 5/3 + 13/2) * 2/1 = (5/1 * 5/3 + 13/2) * 2/1 = (25/3 + 13/2 ) * 2/1 = ( 50/6 + 39/6) * 2/1 = 89/6 *2/1 = 178/6 = 29 4/6 = 29 2/3
Szczegółowe wyjaśnienie:
liczby 1 1/2 to całość i ułamek
