Răspuns :
3/6 + 2/9 = 15/18 + 4/18 = 19/18 = 1 intreg si 1/18 → suma (a + b)
→ pentru a le aduna, respectiv a scadea fractiile, trebuie sa le aducem la acelasi numitor comun;
→ aflam cmmmc al numitorilor, apoi amplificam fractiile corespunzator;
cmmmc al numerelor ( 6, 9 ) = 2 x 3²= 18
→ amplific prima fractie cu 3, iar pe a doua fractie o amplific cu 2
5/6 - 2/9 = 15/18 - 4/18 = 11/18 → diferenta fractiilor
13/6 + b = 3
13 + 6 b = 3 x 6
6 b = 18 - 13
b = 5/6
13/6 - 5/6 = 8/6 = 4/3 = 1 intreg si 1/3 → diferenta
7/8 - b = 1/2
7 - 8 b = 4
- 8 x b = 4 - 7
- 8 b = - 3 l : -
b = 3/8
a + b = 7/8 + 3/8 = 10/8 = 5/4 = 1 intreg si 1/4 → suma
a + 3/10 = 2 ( cmmmc al numerelor 10 si 2 este 10); amplific fractiile
10 a + 3 = 2 x 10
10 a = 20 - 3
a = 17/10
a - b = 17/10 - 3/10 = 14/10 = 7/5 = 1 intreg si 2/5 → diferenta
a - 13/12 = 2/3 → diferenta
12 a - 13 = 2 x 4
12 a = 8 + 13
12 a = 21
a = 21 /12 = 7/4 = 1 intreg si 3/4
a + b = 21/12 + 13/12 = 34/12 = 17/6 = 2 intregi si 5/6 → suma
→ pentru a le aduna, respectiv a scadea fractiile, trebuie sa le aducem la acelasi numitor comun;
→ aflam cmmmc al numitorilor, apoi amplificam fractiile corespunzator;
cmmmc al numerelor ( 6, 9 ) = 2 x 3²= 18
→ amplific prima fractie cu 3, iar pe a doua fractie o amplific cu 2
5/6 - 2/9 = 15/18 - 4/18 = 11/18 → diferenta fractiilor
13/6 + b = 3
13 + 6 b = 3 x 6
6 b = 18 - 13
b = 5/6
13/6 - 5/6 = 8/6 = 4/3 = 1 intreg si 1/3 → diferenta
7/8 - b = 1/2
7 - 8 b = 4
- 8 x b = 4 - 7
- 8 b = - 3 l : -
b = 3/8
a + b = 7/8 + 3/8 = 10/8 = 5/4 = 1 intreg si 1/4 → suma
a + 3/10 = 2 ( cmmmc al numerelor 10 si 2 este 10); amplific fractiile
10 a + 3 = 2 x 10
10 a = 20 - 3
a = 17/10
a - b = 17/10 - 3/10 = 14/10 = 7/5 = 1 intreg si 2/5 → diferenta
a - 13/12 = 2/3 → diferenta
12 a - 13 = 2 x 4
12 a = 8 + 13
12 a = 21
a = 21 /12 = 7/4 = 1 intreg si 3/4
a + b = 21/12 + 13/12 = 34/12 = 17/6 = 2 intregi si 5/6 → suma
5/6+2/9=45/54+12/54=57/54= 2
....
5/6-2/9=45/54-12/54=33/54=11/18
........
b=5/6
......
13/6-5/6=4/3
.....
7/8-b=1/2
b=3/4
.....
7/8+3/4=13/8
......
a+3/10=2
....
a=2-3/10=17/10
........
17/10-3/10=14/10=7/5
......
a-13/12=2/3
a=13/12+2/3
a=13/12+8/12=21/12=7/4
.....
7/4+13/12=21/12+13/12=34/12=17/6
.......
....
5/6-2/9=45/54-12/54=33/54=11/18
........
b=5/6
......
13/6-5/6=4/3
.....
7/8-b=1/2
b=3/4
.....
7/8+3/4=13/8
......
a+3/10=2
....
a=2-3/10=17/10
........
17/10-3/10=14/10=7/5
......
a-13/12=2/3
a=13/12+2/3
a=13/12+8/12=21/12=7/4
.....
7/4+13/12=21/12+13/12=34/12=17/6
.......