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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: 4 questions will be solved this time.Among them
☆1 equations
☆2 calculations of prime factor
☆1 convert the decimals to fractions
[ 1/4 Digital analysis ]
Work: Convert decimal 4.376096 to fractional form.
Question type: Convert decimal to fraction
Solution:
*Note: Convert finite decimal to fraction.
[2/4 Digtal analysis]
Work：Break 2553760832 into prime factors.
Question type: Resolving prime factor
Solution:
2553760832
The comb entered is invalid!Please enter a prime number or a composite number.
[3/4 Digtal analysis]
Work：Break 19767728 into prime factors.
Question type: Resolving prime factor
Solution:
19767728=2*2*2*2*53*23311
*Note: 19767728 has 6 prime factors.
[ 4/4 Equation]
Work: Find the solution of equation 30-18x = 11-2x+7-20 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
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.
☆1 equations
☆2 calculations of prime factor
☆1 convert the decimals to fractions
[ 1/4 Digital analysis ]
Work: Convert decimal 4.376096 to fractional form.
Question type: Convert decimal to fraction
Solution:
| 4.376096= | 136753 31250 |
*Note: Convert finite decimal to fraction.
[2/4 Digtal analysis]
Work：Break 2553760832 into prime factors.
Question type: Resolving prime factor
Solution:
2553760832
The comb entered is invalid!Please enter a prime number or a composite number.
[3/4 Digtal analysis]
Work：Break 19767728 into prime factors.
Question type: Resolving prime factor
Solution:
19767728=2*2*2*2*53*23311
*Note: 19767728 has 6 prime factors.
[ 4/4 Equation]
Work: Find the solution of equation 30-18x = 11-2x+7-20 .
Question type: Equation
Solution:Original question:
| 30 | − | 18 | x | = | 11 | − | 2 | x | + | 7 | − | 20 |
| Right side of the equation = | - | 2 | − | 2 | x |
| 30 | − | 18 | x | = | - | 2 | − | 2 | x |
Transposition :
| - | 18 | x | + | 2 | x | = | - | 2 | − | 30 |
Combine the items on the left of the equation:
| - | 16 | x | = | - | 2 | − | 30 |
Combine the items on the right of the equation:
| - | 16 | x | = | - | 32 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 32 | = | 16 | 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 :
| 16 | x | = | 32 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 32 | ÷ | 16 |
| = | 32 | × | 1 16 |
| = | 2 | × | 1 |
We obtained :
| x | = | 2 |