Question

0,8333...-0,4(6)/1 5/6 • 1,125+1,75-0,41(6)/0,59 Помогите справиться с такой вот только единственной задачей!​ Помогите или мне .....

Answer 1

Пошаговое объяснение:

0,8333 = 0,8(3)

0,8(3) = (83-8)/90 = 75/90 = 5/6

0,4(6) = (46-4)/90 = 42/90 = 7/15

0,41(6) = (416-41)/900 = 375/900 = 5/12

1) 0,4(6) : 1 5/6 = 7/15 : 11/6 = 7/15 * 6/11 = 7/5 * 2/11 = 14/55

2) 14/55 * 1,125 = 14/55 * 1125/1000 = 7/11 * 225/500 = 1575/5500 = 63/220

3) 0,41(6) : 0,59 = 5/12 : 59/100 = 5/12 * 100/59 = 5/3 * 25/59 = 125/177

4) 0,8(3) - 63/220 = 5/6 - 63/220 = 1100/1320 - 378/1320 = 722/1320 = 361/660

5) 361/660 + 1,75 = 361/660 + 1 3/4 = 361/660 + 1 495/660 = 1 856/660 = 2 196/660 = 2 49/165

6) 2 49/165 - 125/177 = 379/165 - 125/177 = 5162/3245 = 1 1917/3245