Question

[ 5/6 - { 4/5 x ( 3/8 + 6/9 : 4/3 ) x 5/14 } ] ²


ayuda pliss

Answer 1

Respuesta:

Para suma o resta de fracciones se halla el mcm de los denominadores.

• -4/6 - 4/3 + 5/6

= (-4 - 2(4) + 5)/6

= (-4 - 8 +5)/6

= -7/6

• -5/9 + 2/6 -7/2 +2/3

= (-5(2) + 2(3) - 7(9) + 2(6))/18

= (-10 + 6 - 63 + 12)/18

= -55/18

• -5/4 +7/6 - 11/8 + 15/12

= (-5(6) + 7(4) - 11(3) + 15(2))/24

= (-30 + 28 - 33 + 30)/24

= -5/24

• -3/5 - (+7/6) - 5/2 + 11/2

= -3/5 - 7/6 - 5/2 + 11/2

= (-3(6) - 7(5) - 5(15) + 11(15))/30

= (-18 - 35 - 75 + 165)/30

= 37/30

• 3/4 - 7/9 + 5/6 - 2/3

= (3(9) - 7(4) + 5(6) - 2(12))/36

= (27 - 28 + 30 - 24)36

= 5/36

• -8/3 + 5/4 - 7/6 + 5/12

= (-8(4) + 5(3) - 7(2) + 5(1))/12

= (-32 + 15 - 14 + 5)/12

= -26/12 = -13/6

• -3/7 × 4/3

= (-3 × 4)/(7×3) ; simplificamos

= -4/7

• 5/6 × -4/3

= (5 × -4)/(6×3) ; simplifucamos

= -20/18 = -10/9

• -4/5 × 15/2

= (-4 × 15)/(5 × 2) ; simplificamos

= (-2 × 3) / (1 × 1) = -6

• -9/5 × 2/3 × 1/4

= (-9 × 2 × 1)/(5 × 3 × 4)

= (-3 × 1 × 1)/(5 × 1 × 2) = -3/10

• -7/6 × -6/9 × -11/10

= (-7 × -6 × -11)/(6 × 9 × 10)

= (- 7 × -1 × -11)/(1 × 9 × 10) = -77/90

• -4/5 × -7/8 × -9/12

= (-4 × -7 × -9)/(5 × 8 × 12)

= (-1 × -7 × -3)/(5 × 2 × 4) = -21/40

• -3/5 ÷ -2/7 ; la división se convierte en multiplicación de la inversa

= -3/5 × -7/2

= (-3 × -7)/(5 × 2) = 21/10

• 7/6 ÷ -4/3

= 7/6 × -3/4

= (7 × -3)/(6 × 4) = (7 × -1)/(2 × 4) = -7/8

• -3/5 ÷ -2/4

= -3/5 × -4/2

= -3/5 × -2/1

= (-3 × -2)/(5 × 1) = 6/5

Explicación paso a paso:

espero haberte ayudado corona por fa