Let's solve the equation step by step:
8,87 ÷ (2,2 + 2/3m) = 17,4 ÷ 8,4
First simplify the expression inside the parentheses:
2,2 + 2/3m = 2,2 + 0.6667m = 2,2 + 0.6667m
Next, divide 8,87 by the simplified expression:
8,87 ÷ (2,2 + 0.6667m) = 4.0312 + 1.2792m
Now simplify the right side of the equation:
17,4 ÷ 8,4 = 2.0714
Now our equation becomes:
4.0312 + 1.2792m = 2.0714
Now isolate m by first subtracting 4.0312 from both sides:
1.2792m = -1.9598
Lastly, divide by 1.2792 to solve for m:
m = -1.53
Therefore, the solution to the equation is m = -1.53.
Let's solve the equation step by step:
8,87 ÷ (2,2 + 2/3m) = 17,4 ÷ 8,4
First simplify the expression inside the parentheses:
2,2 + 2/3m = 2,2 + 0.6667m = 2,2 + 0.6667m
Next, divide 8,87 by the simplified expression:
8,87 ÷ (2,2 + 0.6667m) = 4.0312 + 1.2792m
Now simplify the right side of the equation:
17,4 ÷ 8,4 = 2.0714
Now our equation becomes:
4.0312 + 1.2792m = 2.0714
Now isolate m by first subtracting 4.0312 from both sides:
1.2792m = -1.9598
Lastly, divide by 1.2792 to solve for m:
m = -1.53
Therefore, the solution to the equation is m = -1.53.