用简便方法计算10÷[8／3－(5／13÷5／26＋2／5)]

用简便方法计算10÷[8／3－(5／13÷5／26＋2／5)]
用简便方法计算10÷[8／3－(5／13÷5／26＋2／5)]

用简便方法计算10÷[8／3－(5／13÷5／26＋2／5)]
10÷[8/3-(5/13*26/5+2/5]
=10÷[8/3-(2+2/5)]
=10÷[8/3-12/5]
=10÷(40/15-36/15)
=10÷4/15
=10*15/4
=75/2