Question

Solve (13(8-(125)/(17))+((60-21)/(25-39))22+(9)/(5))/(5+(74)/(11)-((3)/(2)))

Answer 1

To solve the given expression, follow the order of operations: simplify expressions within parentheses, perform operations on fractions, and combine the results step by step. The final answer is 10.624382032876713.

Step-by-step explanation:

To solve the given expression, follow the order of operations:

1. Simplify the expressions within parentheses: 8 - (125/17) = 8 - 7.352941176470588 = 0.647058823529412
2. Divide 125 by 17 and subtract from 8: 8 - (125/17) = 8 - 7.352941176470588 = 0.647058823529412
3. Subtract fractions: (60-21)/(25-39) = 39/(-14) = -2.785714285714286
4. Multiply the result from step 1 by 13 and add the result from step 2: 13 * 0.647058823529412 + (-2.785714285714286) = 8.411764705882354
5. Divide 9 by 5: 9/5 = 1.8
6. Add the result from step 4, step 3, and step 5: 8.411764705882354 + (-2.785714285714286) + 1.8 = 7.426050421168068
7. Divide 74 by 11: 74/11 = 6.7272727272727275
8. Divide 3 by 2: 3/2 = 1.5
9. Subtract the result from step 8 from the result from step 6: 7.426050421168068 - 6.7272727272727275 - 1.5 = -0.8012223061046591
10. Add the result from step 7 to the result from step 9: -0.8012223061046591 + 1.5 = 0.6987776938953409
11. Finally, divide the result from step 6 by the result from step 10: 7.426050421168068 / 0.6987776938953409 = 10.624382032876713