Insert parentheses to make this true
12 ÷ 2 ∙ 9 ÷ 3 ∙ 2 + 3 = 13
Sorry - can't be done.
13 is prime, so since all the operations except the +3 are multiply/divide, the +3 must be on its own. That means that
(12 ÷ 2 ∙ 9 ÷ 3 ∙ 2) + 3 = 13
and 12 ÷ 2 ∙ 9 ÷ 3 ∙ 2 = 10
But, 5 is a factor of 10, but is not a factor of any number on the left.
To insert parentheses to make the equation true, let's follow the order of operations (PEMDAS/BODMAS):
12 ÷ 2 ∙ 9 ÷ 3 ∙ 2 + 3 = 13
Step 1: Start with the multiplication and division from left to right.
12 ÷ 2 = 6
6 ∙ 9 ÷ 3 ∙ 2 + 3 = 13
Step 2: Continue with the multiplication and division.
6 ∙ 9 = 54
54 ÷ 3 ∙ 2 + 3 = 13
Step 3: Perform the multiplication.
54 ÷ 3 = 18
18 ∙ 2 + 3 = 13
Step 4: Perform the remaining multiplication.
18 ∙ 2 = 36
36 + 3 = 39
The equation is not true when following the given order of operations. Therefore, it is not possible to insert parentheses in this equation to make it equal to 13.