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Fractions calculation：
Enter the fractions calculation formula directly and click the "Next" button to get the calculation answer.
It does not support mathematical functions (including trigonometric functions) and can only calculate the addition, subtraction, multiplication and division of two fractions. The fraction line is indicated by "/".
Enter the fractions calculation formula directly and click the "Next" button to get the calculation answer.
It does not support mathematical functions (including trigonometric functions) and can only calculate the addition, subtraction, multiplication and division of two fractions. The fraction line is indicated by "/".
Current location：Mathematical operation > History of fraction calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 200×（1+2a%）×100+50×（1+6a%）×160 = 0 .
Question type: Equation
Solution:Original question:
| 200 | ( | 1 | + | 2 | a | ) | × | 100 | + | 50 | ( | 1 | + | 6 | a | ) | × | 160 | = | 0 |
| Left side of the equation = | 20000 | ( | 1 | + | 2 | a | ) | + | 8000 | ( | 1 | + | 6 | a | ) |
| 20000 | ( | 1 | + | 2 | a | ) | + | 8000 | ( | 1 | + | 6 | a | ) | = | 0 |
| Left side of the equation = | 20000 | × | 1 | + | 20000 | × | 2 | a | + | 8000 | ( | 1 | + | 6 | a | ) |
| = | 20000 | + | 40000 | a | + | 8000 | ( | 1 | + | 6 | a | ) |
| = | 20000 | + | 40000 | a | + | 8000 | × | 1 | + | 8000 | × | 6 | a |
| = | 20000 | + | 40000 | a | + | 8000 | + | 48000 | a |
| = | 28000 | + | 88000 | a |
| 28000 | + | 88000 | a | = | 0 |
Transposition :
| 88000 | a | = | 0 | − | 28000 |
Combine the items on the right of the equation:
| 88000 | a | = | - | 28000 |
The coefficient of the unknown number is reduced to 1 :
| a | = | - | 28000 | ÷ | 88000 |
| = | - | 28000 | × | 1 88000 |
| = | - | 7 | × | 1 22 |
We obtained :
| a | = | - | 7 22 |
Convert the result to decimal form :
| a | = | - 0.318182 |