Question

76乘（23分之1减53分之1）+23乘（53分之1+76分之1）减53乘（23分之1减76分之1）这题怎么算？

Answer 1

原式
＝76/23-76/53+23/53+23/76-53/23-53/76
＝（76/23-53/23）+（23/53-76/53）+（23/76-53/76）
＝23/23-53/53-30/76
＝1-1-15/38
＝-15/38

Answer 2

去括号得76/23-76/53+23/53+23/76-53/23+53/76=（76/23-53/23)-(76/53-23/53)+(23/76+53/76)=1-1+1=1

Answer 3

76*(1/23-1/53)+23*(1/53+1/76)-53*(1/23-1/76)
=76/23-76/53+23/53+23/76-53/23+53/76
=(76/23-53/23)+(-76/53+23/53)+(23/76+53/76)
=1+(-1)+1
=1

Answer 4

76(1/23-1/53)+23(1/53+1/76)-53(1/23-1/76)
=1/23(76-53)+1/53(-76+23)+1/76(23+53)
=1-1+1
=1

Answer 5

先用乘法分配律打开再提公因式就有
23分之1乘以（76减53）+53分之1乘以（23减76）+76分之1乘以（23加53）=1