Espressioni

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$\small \dfrac{5}{7}×\left\{1-\dfrac{5}{3}÷\left[1+\left(\dfrac{15}{4}÷\dfrac{5}{2}-\dfrac{1}{6}\right)×\dfrac{1}{2}\right]\right\} =$

$\small = \dfrac{5}{7}×\left\{1-\dfrac{5}{3}÷\left[1+\left(\dfrac{\cancel{15}^3}{\cancel4_2}×\dfrac{\cancel2^1}{\cancel5_1}-\dfrac{1}{6}\right)×\dfrac{1}{2}\right]\right\} =$

$\small = \dfrac{5}{7}×\left\{1-\dfrac{5}{3}÷\left[1+\left(\dfrac{3}{2}×\dfrac{1}{1}-\dfrac{1}{6}\right)×\dfrac{1}{2}\right]\right\} =$

$\small = \dfrac{5}{7}×\left\{1-\dfrac{5}{3}÷\left[1+\left(\dfrac{3}{2}-\dfrac{1}{6}\right)×\dfrac{1}{2}\right]\right\} =$

$\small = \dfrac{5}{7}×\left\{1-\dfrac{5}{3}÷\left[1+\left(\dfrac{9-1}{6}\right)×\dfrac{1}{2}\right]\right\} =$

$\small = \dfrac{5}{7}×\left\{1-\dfrac{5}{3}÷\left[1+\dfrac{\cancel8^4}{\cancel6_3}×\dfrac{1}{2}\right]\right\} =$

$\small = \dfrac{5}{7}×\left\{1-\dfrac{5}{3}÷\left[1+\dfrac{\cancel4^2}{3}×\dfrac{1}{\cancel2_1}\right]\right\} =$

$\small = \dfrac{5}{7}×\left\{1-\dfrac{5}{3}÷\left[1+\dfrac{2}{3}×\dfrac{1}{1}\right]\right\} =$

$\small = \dfrac{5}{7}×\left\{1-\dfrac{5}{3}÷\left[1+\dfrac{2}{3}\right]\right\} =$

$\small = \dfrac{5}{7}×\left\{1-\dfrac{5}{3}÷\left[\dfrac{3+2}{3}\right]\right\} =$

$\small = \dfrac{5}{7}×\left\{1-\dfrac{5}{3}÷\dfrac{5}{3}\right\} =$

$\small = \dfrac{5}{7}×\left\{1-\dfrac{\cancel5^1}{\cancel3_1}×\dfrac{\cancel3^1}{\cancel5_1}\right\} =$

$\small = \dfrac{5}{7}×\left\{1-\dfrac{1}{1}×\dfrac{1}{1}\right\} =$

$\small = \dfrac{5}{7}×\left\{1-1\right\} =$

$\small = \dfrac{5}{7}×0 =$

$\small = 0 $

Lo svolgo a mano.

5/7 * (1 - 5/3 : (1+(15/4*2/5-1/6)*1/2))

5/7 * (1-5/3 : (1+(3/2-1/6)*1/2))

5/7 * (1-5/3 : (1+(9-1)/6*1/2))

5/7 * (1-5/3 : (1+2/3)

5/7 * (1-5/3 : 5/3)

5/7 * (1-1) = 0 

1-(( 100+96+80+105)/120)*40/127)*(15-4)/20+1/20)

1-((381/120)*40/127)*11/20+1/20) 

1-(1*11/20+1/20)

1-3/5 = 2/5 

((3/20*10/9):((2+1)/24*4)+2/3)*7/91

(1/6 * 2 +2/3) * 1/13

(1/3+2/3 )*1/13 = 1/13 

(11/9+(1-2*1/5)*5/4) : 71/18 + 1/2

(11/9+3/5*5/4) * 18/71 +1/2

(11/9+3/4) * 18/71 + 1/2

(44+27)/36 * 18/71 +1/2

1/2 + 1/2 = 1 

(1/4+(1/25+4/25*1/16)-1/10)*25/3

(1/4+(1/25+1/100)-1/10)*25/3

(1/4+(5/100-1/10)*25/3

(1/4-1/20)*25/3

4/20*25/3 = 20/12 = 5/3 

(1/4*(11/12+(5/2-5/4)*(9/10-5/6)) * 8

(1/4 * (11/12+ 5/4*(27-25)/30)) * 8

(1/4 * (11/12+1/12)) * 8

1/4 * 1 * 8 = 2 

(2/5 : (2/3 : 25/12)) * 4/5 +5/8 + 25/32 : 5/4 +1/4

2/5*3/2*12/25*4/5 + 5/8 +100/160 +1/4

6*48 /(1250) +5/8 + 5/8 + 1/4

144/625+10/8+2/8

(144*8+6.250+1.250)/5.000

2.163/1.250  ??