Question

Calculați :
[ 0,8(3) +3/4 ] : [ 0,69(4) -0,625 + 9/16] =
​

Answer 1

Răspuns:

Explicație pas cu pas:

[ 0,8(3) +3/4 ] : [ 0,69(4) -0,625 + 9/16] =

= [(83-8)/90 + 3/4] : [(694-69)/900 - 625/1000 + 9/16] =

= (75/90⁽¹⁵ + 3/4) : (625/900⁽²⁵ - 625/1000⁽¹²⁵ +9/16) =

= (²⁾5/6 + ³⁾3/4) : (²⁾25/36 - ⁹⁾5/8 + ¹²⁾9/16) =

= [(10+9)/12] : [(50-45+108)/72] =

= 19/12 : 113/72 = 19/12 · 72/113 = (19·72):(12·113) =

= (19·6):113 = 114/113