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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 （18/13+61/27）x+390/31+195/10+1 = 100 .
Question type: Equation
Solution:Original question:
| ( | 18 | ÷ | 13 | + | 61 | ÷ | 27 | ) | x | + | 390 | ÷ | 31 | + | 195 | ÷ | 10 | + | 1 | = | 100 |
| Left side of the equation = | ( | 18 | ÷ | 13 | + | 61 | ÷ | 27 | ) | x | + | 390 31 | + | 39 2 | + | 1 |
| = | ( | 18 | ÷ | 13 | + | 61 | ÷ | 27 | ) | x | + | 2051 62 |
| ( | 18 | ÷ | 13 | + | 61 | ÷ | 27 | ) | x | + | 2051 62 | = | 100 |
| Left side of the equation = | 18 | ÷ | 13 | × | x | + | 61 | ÷ | 27 | × | x | + | 2051 62 |
| = | 18 13 | x | + | 61 27 | x | + | 2051 62 |
| = | 1279 351 | x | + | 2051 62 |
1279 351 | x | + | 2051 62 | = | 100 |
Transposition :
1279 351 | x | = | 100 | − | 2051 62 |
Combine the items on the right of the equation:
1279 351 | x | = | 4149 62 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 4149 62 | ÷ | 1279 351 |
| = | 4149 62 | × | 351 1279 |
We obtained :
| x | = | 1456299 79298 |
Convert the result to decimal form :
| x | = | 18.364889 |