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Fraction and Decimal Interactions：
Function: it can convert the entered fraction into a decimal, or convert the entered decimal into a fraction.
The fraction line of the entered fraction is indicated by "/".
When you enter an infinite loop decimal, the loop section of the infinite loop follows "|".
Function: it can convert the entered fraction into a decimal, or convert the entered decimal into a fraction.
The fraction line of the entered fraction is indicated by "/".
When you enter an infinite loop decimal, the loop section of the infinite loop follows "|".
Current location：Mathematical operation > History of fractional decimal interaction > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (x-6%)/(8%-6%) = (0-10.49)/(-12.67-10.49) .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Transposition :
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (x-6%)/(8%-6%) = (0-10.49)/(-12.67-10.49) .
Question type: Equation
Solution:Original question:
| ( | x | − | 6 100 | ) | ÷ | ( | 8 100 | − | 6 100 | ) | = | ( | 0 | − | 1049 100 | ) | ÷ | ( | - | 1267 100 | − | 1049 100 | ) |
| Multiply both sides of the equation by: | ( | 8 100 | − | 6 100 | ) | , | ( | - | 1267 100 | − | 1049 100 | ) |
| ( | x | − | 6 100 | ) | ( | - | 1267 100 | − | 1049 100 | ) | = | ( | 0 | − | 1049 100 | ) | ( | 8 100 | − | 6 100 | ) |
| x | ( | - | 1267 100 | − | 1049 100 | ) | − | 6 100 | ( | - | 1267 100 | − | 1049 100 | ) | = | ( | 0 | − | 1049 100 | ) | ( | 8 100 | − | 6 100 | ) |
| x | ( | - | 1267 100 | − | 1049 100 | ) | − | 6 100 | ( | - | 1267 100 | − | 1049 100 | ) | = | 0 | ( | 8 100 | − | 6 100 | ) | − | 1049 100 | ( | 8 100 | − | 6 100 | ) |
| - | x | × | 1267 100 | − | x | × | 1049 100 | − | 6 100 | ( | - | 1267 100 | − | 1049 100 | ) | = | 0 | ( | 8 100 | − | 6 100 | ) | − | 1049 100 | ( | 8 100 | − | 6 100 | ) |
| - | x | × | 1267 100 | − | x | × | 1049 100 | − | 6 100 | ( | - | 1267 100 | − | 1049 100 | ) | = | 0 | × | 8 100 | − | 0 | × | 6 100 | − | 1049 100 | ( | 8 100 | − | 6 100 | ) |
| - | x | × | 1267 100 | − | x | × | 1049 100 | − | 6 100 | ( | - | 1267 100 | − | 1049 100 | ) | = | 0 | − | 0 | − | 1049 100 | ( | 8 100 | − | 6 100 | ) |
| - | 579 25 | x | − | 6 100 | ( | - | 1267 100 | − | 1049 100 | ) | = | 0 | − | 1049 100 | ( | 8 100 | − | 6 100 | ) |
| - | 579 25 | x | + | 6 100 | × | 1267 100 | + | 6 100 | × | 1049 100 | = | - | 1049 100 | ( | 8 100 | − | 6 100 | ) |
| - | 579 25 | x | + | 6 100 | × | 1267 100 | + | 6 100 | × | 1049 100 | = | - | 1049 100 | × | 8 100 | + | 1049 100 | × | 6 100 |
| - | 579 25 | x | + | 3801 5000 | + | 3147 5000 | = | - | 1049 1250 | + | 3147 5000 |
| - | 579 25 | x | + | 1737 1250 | = | - | 1049 5000 |
Transposition :
| - | 579 25 | x | = | - | 1049 5000 | − | 1737 1250 |
Combine the items on the right of the equation:
| - | 579 25 | x | = | - | 7997 5000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
7997 5000 | = | 579 25 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
579 25 | x | = | 7997 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 7997 5000 | ÷ | 579 25 |
| = | 7997 5000 | × | 25 579 |
| = | 7997 200 | × | 1 579 |
We obtained :
| x | = | 7997 115800 |
Convert the result to decimal form :
| x | = | 0.069059 |