Question

Вычислите 1 5/6 : (2/3 - 2/7)

Answer 1

$1dfrac 56:Big(dfrac 23 - dfrac 27Big)=1dfrac 56:Big(dfrac {2cdot 7}{3cdot 7} - dfrac {2cdot 3}{7cdot 3}Big)=\\=1dfrac 56:Big(dfrac {14}{21} - dfrac {6}{21}Big)=1dfrac {5}6:dfrac 8{21}=\\=dfrac {11}6cdot dfrac {21}8=dfrac {11cdot 7}{2cdot 8}=dfrac{77}{16}=4dfrac{13}{16}$