Matematica

Ejercicios de Matemática resueltos


a. 5/4 - {2/9 [1/4 * 3/2 (2/5 + 1/3)]}
5/4 - {2/9 [1/4 * 3/2 (11/15)]}
5/4 - {2/9 [1/4 * 33/30]}
5/4 - {2/9 [33/120]}5/4 - {66/1080}
5/4 - 66/1080=
5136/4320
2568/2160
1284/1080
642/540
321/270



b. 3/10 {2/7 + [3/8 ÷ (4/3 + 1/5 * 9/2)] -5 }3/10 {2/7 + [3/8 ÷ (4/3 + 9/10)] – 5}
3/10 {2/7 + [3/8 ÷ (67/30)] -5}
3/10 {2/7 + [90/536] -5}
3/10 {1702/3752 – 5/1}
3/10 {-17058/3752}=51174/37520

25587/18760


c. 2 1/9 + [5 1/3 - 4/7 (1/6 – 1/8 ÷ 3/2)] + 9 1/8
19/9 + 16/3 – 4/7 (1/6 – 1/8 ÷ 3/2)] + 73/8
19/9 + [16/3 – 4/7 (1/6 – 2/24)] + 73/819/9 + [16/3 – 4/7 (12/144)] +73/8
19/9 + [16/3 – 48/1008] 73/8
19/9 + [15984/3024] + 73/8
201312/27216 + 73/8=
3597264/217728
1798632/108864899316/54432
449658/27216
224829/13608
74943/4536
24981/1512
8327/504




d. 41/9 - {25/3 [3/7 (2 ¼ + 3/5 – 9/8)] + 3/2}
41/9 -{25/3 [3/7 (9/4 + 3/8 – 9/8)] + 3/2}
41/9 - {25/3 [3/7 (57/20 – 9/8)] + 3/2}
41/9 - {25/3 [3/7 (276/160)] + 3/2}
41/9 - {25/3 [828/1120] + 3/2}
41/9 -{20700/3360 + 3/2}
41/9 - 51480/6720=
-187800/60480
-93900/30240
-46950/15120
-23475/7560
-7825/2520
-1565/504

e. 20 1/32 + [14 1/5 ÷ 12(21/4+1/7 * 1/5 + 3)]
641/32 + [71/5 ÷ 12/1 (21/4 + 1/7 * 1/5 + 3/1)]
641/32 + [71/5 ÷ 12/1 (21/4 +1/35 +3/1)]
641/32 + [71/5 ÷ 12/1 (739/140 + 3/1)]
641/32 +[71/5 ÷ 12/1 (1159/140)]
641/32 + [71/5 ÷ 13908/140]
641/32 + 9940/69540=
44893220/2225280
22446610/1112640
11223305/556320
2244661/111264