Mathematics
         
语言:中文    Language:English
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 "|".
    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:
        4.376096=
136753
31250

    *Note: Convert finite decimal to fraction.

[2/4 Digtal analysis]
    Work:Break 3760832 into prime factors.
    Question type: Resolving prime factor
    Solution:
        3760832=2*2*2*2*2*2*58763

    *Note: 3760832 has 7 prime factors.
[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:
     3018 x = 112 x + 720
     Right side of the equation = - 22 x
    The equation is transformed into :
     3018 x = - 22 x

    Transposition :
      - 18 x + 2 x = - 230

    Combine the items on the left of the equation:
      - 16 x = - 230

    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
    This is the solution of the equation.



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