Question

2/6+4/30-7/15=
2/5+5/6-4/30=
4/21+3/7-1/3=
16/5+5/2-11/6=
3/9+4/6=
2/4+3/5-3/10=
1/4+1/2-5/12=
25/7+23/8-5/14=
CON EL PROCEDIMIENTO PORFAVOR

Answer 1

2/6 + 4/30 - 7/15 = 900 + 360 - 1260 / 2700 = 0/2700 = 0
por mcm = 10 + 4 - 14 / 30 = 0/30 = 0

2/5 + 5/6 - 4/30 = 360 + 750 - 120 / 900 = 990/900 = 495/450 = 99/90 = 33/30 = 11/10
por mcm = 12 + 25 - 4 / 30 = 33/30 = 11/10

4/21 + 3/7 - 1/3 = 84 + 189 - 147 / 441 = 126/441 = 42/147 = 14/49 = 2/7
por mcm = 4 + 9 - 7 / 21 = 6/21

16/5 + 5/2 - 11/6 = 192 + 150 - 110 / 60 = 232/60 = 116/30 = 58/15
por mcm = 96 + 75 - 55 / 30 = 116/30 = 58/15

3/9 + 4/6 = 18 + 36 / 54 = 54/54 = 1
por mcm = 6 + 12 / 18 = 18/18 = 1

2/4 + 3/5 - 3/10 = 100 + 120 - 60 / 200 = 160/200 = 80/100 = 40/50 = 20/25 = 4/5
por mcm = 10 + 12 - 6 / 20 = 16/20 = 8/10 = 4/5

1/4 + 1/2 - 5/12 = 24 + 48 - 40 / 96 = 32/96 = 16/48 = 8/24 = 4/12 = 2/6 = 1/3
por mcm = 3 + 6 - 5 / 12 = 4/12 = 2/6 = 1/3

25/7 + 23/8 - 5/14 = 2800 + 2254 - 280 / 784 = 4774/784 = 2387/392
por mcm = 200 + 161 - 20 / 56 = 341/56

a/b + c/d - e/f = a.d.f + b.c.f - b.d.e / b.d.f
por mcm (b, d, f) = bdf se divide entre el denominador y se multiplica por el numerador de cada fracción
bdf÷b.a + bdf÷d.c - bdf÷f.e / bdf

para simplificar la fracción hasta llegar a una irreducible solo divide (tanto el numerador como el denominador) entre 2, 3, 5 o 7

en resumen
2/6 + 4/30 - 7/15 = 0
2/5 + 5/6 - 4/30 = 11/10
4/21 + 3/7 - 1/3 = 6/21
16/5 + 5/2 - 11/6 = 58/15
3/9 + 4/6 = 1
2/4 + 3/5 - 3/10 = 4/5
1/4 + 1/2 - 5/12 = 1/3
25/7 + 23/8 - 5/14 = 341/56

Answer 2

$\frac{2}{6} + \frac{4}{30} - \frac{7}{15} = \frac{(30:6.2)+(30:30.4)-(30:15.7)}{30} = \frac{10+4-14}{30} = \frac{0}{30} = 0$

$\frac{2}{5} + \frac{5}{6} - \frac{4}{30} = \frac{(30:5.2)+(30:6.5)-(30:30.4)}{30} = \frac{12+25-4}{30} = \frac{33}{30} = \frac{11}{10}$

$\frac{4}{21} + \frac{3}{7} - \frac{1}{3} = \frac{(21:21.4)+(21:7.3)-(21:3.1)}{21} = \frac{4+9-7}{21} = \frac{6}{21}$

$\frac{16}{5} + \frac{5}{2} - \frac{11}{6} = \frac{(30:5.16)+(30:2.5)-(30:6.11)}{30} = \frac{96+75-55}{30} = \frac{116}{30} = \frac{58}{15}$

$\frac{3}{9} + \frac{4}{6} = \frac{(18:9.3)+(18:6.4)}{18} = \frac{6+12}{18} = \frac{18}{18} = \frac{1}{1} = 1$

$\frac{2}{4} + \frac{3}{5} - \frac{3}{10} = \frac{(20:4.2)+(20:5.3) - (20:10.3)}{20} = \frac{10+12-6}{20} = \frac{16}{20} = \frac{4}{5}$

$\frac{1}{4} + \frac{1}{2} - \frac{5}{12} = \frac{(12:4.1)+(12:2.1)-(12:12.5)}{12} = \frac{3+6-5}{12} = \frac{4}{12} = \frac{1}{3}$

$\frac{25}{7} + \frac{23}{8} - \frac{5}{14} = \frac{(56:7.25)+(56:8.23)-(56:14.5)}{56} = \frac{200+161-20}{56} = \frac{341}{56}$