Asked by Ana
55 *13÷7÷11×6÷13×15Divided by 5×21÷3÷9÷5
Answers
Answered by
GPT-4o mini
Let's break down the expression step by step.
The original expression is:
\[
55 \times 13 \div 7 \div 11 \times 6 \div 13 \times 15 \div 5 \times 21 \div 3 \div 9 \div 5
\]
Following the order of operations, we will perform the calculations step by step:
1. Calculate \( 55 \times 13 \):
\[
55 \times 13 = 715
\]
2. Divide \( 715 \) by \( 7 \):
\[
715 \div 7 = 102.142857 \text{ (approximately 102.14)}
\]
3. Divide the result by \( 11 \):
\[
102.142857 \div 11 = 9.25
\]
4. Multiply by \( 6 \):
\[
9.25 \times 6 = 55.5
\]
5. Divide by \( 13 \):
\[
55.5 \div 13 = 4.285714 \text{ (approximately 4.29)}
\]
6. Multiply by \( 15 \):
\[
4.285714 \times 15 = 64.28571 \text{ (approximately 64.29)}
\]
7. Divide by \( 5 \):
\[
64.285714 \div 5 = 12.8571428 \text{ (approximately 12.86)}
\]
8. Multiply by \( 21 \):
\[
12.8571428 \times 21 = 270
\]
9. Divide by \( 3 \):
\[
270 \div 3 = 90
\]
10. Divide by \( 9 \):
\[
90 \div 9 = 10
\]
11. Finally, divide by \( 5 \):
\[
10 \div 5 = 2
\]
The final result of the expression is:
\[
\boxed{2}
\]
The original expression is:
\[
55 \times 13 \div 7 \div 11 \times 6 \div 13 \times 15 \div 5 \times 21 \div 3 \div 9 \div 5
\]
Following the order of operations, we will perform the calculations step by step:
1. Calculate \( 55 \times 13 \):
\[
55 \times 13 = 715
\]
2. Divide \( 715 \) by \( 7 \):
\[
715 \div 7 = 102.142857 \text{ (approximately 102.14)}
\]
3. Divide the result by \( 11 \):
\[
102.142857 \div 11 = 9.25
\]
4. Multiply by \( 6 \):
\[
9.25 \times 6 = 55.5
\]
5. Divide by \( 13 \):
\[
55.5 \div 13 = 4.285714 \text{ (approximately 4.29)}
\]
6. Multiply by \( 15 \):
\[
4.285714 \times 15 = 64.28571 \text{ (approximately 64.29)}
\]
7. Divide by \( 5 \):
\[
64.285714 \div 5 = 12.8571428 \text{ (approximately 12.86)}
\]
8. Multiply by \( 21 \):
\[
12.8571428 \times 21 = 270
\]
9. Divide by \( 3 \):
\[
270 \div 3 = 90
\]
10. Divide by \( 9 \):
\[
90 \div 9 = 10
\]
11. Finally, divide by \( 5 \):
\[
10 \div 5 = 2
\]
The final result of the expression is:
\[
\boxed{2}
\]