Mathematics
         
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    Current location:Mathematical operation > History of Mathematical Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation a/(5.76a+937.5+4464.3) = 0.1 .
    Question type: Equation
    Solution:Original question:
      a ÷ (
144
25
a +
1875
2
+
44643
10
) =
1
10
     Multiply both sides of the equation by:(
144
25
a +
1875
2
+
44643
10
)
      a =
1
10
(
144
25
a +
1875
2
+
44643
10
)
    Remove a bracket on the right of the equation::
      a =
1
10
×
144
25
a +
1
10
×
1875
2
+
1
10
×
44643
10
    The equation is reduced to :
      a =
72
125
a +
375
4
+
44643
100
    The equation is reduced to :
      a =
72
125
a +
27009
50

    Transposition :
      a
72
125
a =
27009
50

    Combine the items on the left of the equation:
     
53
125
a =
27009
50

    The coefficient of the unknown number is reduced to 1 :
      a =
27009
50
÷
53
125
        =
27009
50
×
125
53
        =
27009
2
×
5
53

    We obtained :
      a =
135045
106
    This is the solution of the equation.

    Convert the result to decimal form :
      a = 1274.009434



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