Question

(2/3:4/5+3/7*(3/4:9/16+2/3*(1/5*15/7+3))+3/7:3/14

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To simplify the given expression, follow the order of operations (PEMDAS/BODMAS):

P: Parentheses first E: Exponents (none in this expression) MD: Multiplication and Division (from left to right) AS: Addition and Subtraction (from left to right)

Let's begin:

Step 1: Simplify the expression inside the parentheses. 3/4 : 9/16 + 2/3 * (1/5 * 15/7 + 3) = 3/4 : 9/16 + 2/3 * (3/35 + 3) = 3/4 : 9/16 + 2/3 * (3/35 + 105/35) = 3/4 : 9/16 + 2/3 * (108/35) = 3/4 : 9/16 + 72/35

Step 2: Perform the division first. 3/4 : 9/16 = 3/4 * 16/9 = 3/4 * 16/9 = 48/36 = 4/3

So, the expression inside the parentheses becomes: 4/3 + 72/35

Step 3: Find a common denominator for addition. The common denominator for 3, 35, and 16 is 3 * 35 * 16 = 1680.

Step 4: Rewrite each fraction with the common denominator. 4/3 = 4/3 * 560/560 = 2240/1680 72/35 = 72/35 * 48/48 = 3456/1680

Step 5: Add the fractions inside the parentheses. 2240/1680 + 3456/1680 = (2240 + 3456) / 1680 = 5696 / 1680

Step 6: Now, move to the remaining part of the expression. 2/3: (5696/1680 + 3) = 2/3: (5696/1680 + 5040/1680) = 2/3: (10736/1680) = 2/3 * 1680/10736 = 3360/10736 = 210/671

Step 7: Continue with the rest of the expression. (2/3 * 210/671) + 3/7 : 3/14 = 420/671 + 3/7 : 3/14 = 420/671 + 3/7 * 14/3 = 420/671 + 6/671 = (420 + 6) / 671 = 426 / 671

The simplified result of the expression is 426/671.