分數相加再相除

(10/0.806)*10 + (6/0.8581)*25/(10/0.806) + 6/0.8581
= (10/0.806)*10 + (6/0.8581)*25*(0.806/10) + 6/0.8581
= 100/0.806 + (6*25*0.806)/(0.8581*10) + 6/0.8581 = 100/0.806 + 150*0.806/8.581 + 6/0.8581
= 100000/806 + 150*806/8581 + 60000/8581
= 100000/806 + 120900/8581 + 60000/8581
= 100000/806 + 180900/8581
= 50000/403 + 180900/8581
= (50000*8581+180900*403)/(403*8581)
= 501952700/3458143
= 145 521965/3458143
Ans: 145 521965/3458143
( 145 又 521965/3458143 , 約為145.15 )

用 Excel 驗算 :
在任意一儲存格輸入
=145+521965/3458143
計算結果約為145.150937945597
然後在另一格輸入
=(10/0.806)*10 + (6/0.8581)*25/(10/0.806) + 6/0.8581
計算結果約為145.150937945597
兩者相同,故驗算無誤.

打好一個題目有這麼難嗎？