Question

Fracciones:
a)$\frac{2}{7} - \frac{1}{2} . \frac{4}{14} - ( \frac{1}{2} - \frac{3}{4} )$

b)$\frac{2}{5} + \frac{4}{3} . \frac{3}{5} - (\frac{1}{4} )^{2}$

c)$\frac{1}{2} + \frac{1}{4} - \frac{2}{6} - \frac{3}{8}$

d)$\frac{3}{4} . \frac{1}{2} - \frac{2}{5} + \frac{1}{5}$

e)$\frac{2}{5} . \frac{3}{4} - \frac{1}{2} . \frac{1}{5}$

f)$\frac{4}{3} : (\frac{1}{3} + \frac{2}{6}) - \frac{3}{4}$

Por favor lo quiero paso a paso. El punto ( . ) significa multiplicación y los dos puntos ( : ) significa división. Gracias

Answer 1

tenemos:

a) 2/7 -1/2 x 4/14 - (1/2 - 3/4)
=>2/7 -1(4)/2(14) - (2/4 - 3/4)
=>2/7 -4/28 - (2-3/4)
=>2/7 -1/7 - (-1/4)
=>2-1/7 +1/4
=>1/7 +1/4
=>1(4)+7(1)/7(4)
=>4+7/28
=>11/28

b)2/5 + 4/3 x 3/5 -(1/4)^2
=>2/5 +4(3)/3(5) -(1/16)
=>2/5+4/5-1/16
=>2+4/5 -1/16
=>6/5 -1/16
=>6(16)-5(1)/5(16)
=>96-5/80
=>91/80

c)1/2+1/4 -2/6-3/8
=>2/4+1/4 -2(8)-6(3)/6(8)
=>2+1/4 -16-18/48
=>3/4 -34/48
=>3/4 -17/24
=>18/24-17/24
=>18-17/24
=>1/24

d)3/4 x 1/2 -2/5+1/5
=>3(1)/4(2) -2+1/5
=>3/8 -1/5
=>3(5)-8(1)/8(5)
=>15-8/40
=>7/40

e)2/5 x 3/4 -1/2 x 1/5
=>2(3)/5(4) -1(1)/2(5)
=>6/20 -1/10
=>3/10 -1/10
=>3-1/10
=>2/10
=>1/5

f)4/3 : (1/3+2/6) -3/4
=>4/3 : (1/3+1/3) -3/4
=>4/3 : (1+1/3) -3/4
=>4/3 : (2/3) -3/4
=>4(3)/3(2) -3/4
=>12/6 -3/4
=>2/1-3/4
=>2(4)-1(3)/1(4)
=>8-3/4
=>5/4

Espero ayude

Answer 2

2/7 - 1/2*4/14-(1/2 -3/4)
2/7- 4/28 -( 2/4 -3/4)
2/7 - 1/7 -(-1/4)
a) 1/7 +1/4= 4/28 +7/28 = 11/28

b) 2/5 +4/3. 3/5 -(1/4)²
2/5 +12/15 -1/16
2/5 +4/5 -1/16
6/5 -1/16 = (16*6 -1*5)/16*5 = (96 -5)/80 = 91/80

c) 1/2 +1/4 -2/6 - 3/8   el mcm de 2,4,6 y 8 = 24
(12 +6 -8 -9)/24 = 1/24

d) 3/4.1/2 -2/5 +1/5
3/8 -1/5  el mcm de 8 y5 = 40
15/40 - 8/40 = 7/40

e)2/5 .3/4 -1/2 .1/5
6/20 - 1/10  simplificamos 6/20= 3/10
3/10-1/10 = 2/10 = 1/5

f) 4/3 : (1/3 +2/6 ) -3/4
4/3 :( 1/3 +1/3 ) -3/4
4/3 : 2/3 -3/4
4*3/3*2 -3/4
2 -3/4 = (8-3)/4 = 5/4