2.86×0.25+2.86÷0.75简便方法？

解：2.86×0.25+2.86÷0.75等于（ 2717/600 ），【即约等于4.53】
∵已知需求出2.86×0.25+2.86÷0.75等于多少
A × B + A × C = A × （B + C）
∴2.86 × 0.25 + 2.86 ÷ 0.75
= （2×100+86）/100 × 25/100 + （2×100+86）/100 ÷ 75/100
= 286/100 × 1/4 + 286/100 ÷ 3/4
= 143/50 × 1/4 + 143/50 × 4/3
= 143/50 ×（1/4 + 4/3）
= 143/50 × （3/12 + 16/12）
= 143/50 × 19/12
= 2717/600
= 4.528333333
≈ 4.53
答：2.86×0.25+2.86÷0.75等于2717/600，【即约等于4.53】

2.86×0.25+2.86÷0.75
=2.86x1/4+2.86÷3/4
=2.86x(1/4+4/3)
=2.86x(3/12+16/12)
=286/100x19/12
=143/50x19/12
=2717/600
=4又600分之317

2.86x0.25+2.86/0.75
=2.86x1/4+2.86/3/4
=2.86x1/4+2.86x4/3
=2.86x(1/4+4/3)
=2.86x(3/12+16/12)
=2.86x19/12
=4.5283