4 1/3÷(5/6+0.25)/(7/12-2/15)÷0.9-3.6×(7/12+1/9)/(5/8-1/3)×15/7

Предыдущий
вопрос Следующий
вопрос

To solve this expression, we need to follow the order of operations (PEMDAS/BODMAS).

Begin by simplifying within the parentheses:
a. (5/6 + 0.25) = 5/6 + 1/4 = (10/12 + 3/12) = 13/12
b. (7/12 - 2/15) = (35/60 - 8/60) = 27/60 = 9/20
c. (7/12 + 1/9) = (21/36 + 4/36) = 25/36
d. (5/8 - 1/3) = (15/24 - 8/24) = 7/24

Rewrite the expression with the current simplifications:
4 1/3 ÷ (13/12) / (9/20) ÷ 0.9 - 3.6 (25/36) / (7/24) 15/7

Perform the division and multiplication operations:
a. 4 1/3 = 13/3
b. 13/3 ÷ (13/12) = 13/3 12/13 = 4
c. 4 / (9/20) = 4 20/9 = 80/9
d. 80/9 ÷ 0.9 = 80/9 / 9/10 = 80/9 10/9 = 800/81
e. 3.6 (25/36) = 9/2 25/36 = 225/72 = 25/8
f. (25/8) / (7/24) = (25/8) (24/7) = 75/7
g. (75/7) * 15/7 = 1125/49

Therefore, the final result is 800/81 - 1125/49.