Mathematics
         
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Fractions calculation:
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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (0.3X-1173.75)/500 = (0.3X-1353.75)/750 .
    Question type: Equation
    Solution:Original question:
     (
3
10
X
4695
4
) ÷ 500 = (
3
10
X
5415
4
) ÷ 750
    Remove the bracket on the left of the equation:
     Left side of the equation =
3
10
X ×
1
500
4695
4
×
1
500
                                             =
3
5000
X
939
400
    The equation is transformed into :
     
3
5000
X
939
400
= (
3
10
X
5415
4
) ÷ 750
    Remove the bracket on the right of the equation:
     Right side of the equation =
3
10
X ×
1
750
5415
4
×
1
750
                                               =
1
2500
X
361
200
    The equation is transformed into :
     
3
5000
X
939
400
=
1
2500
X
361
200

    Transposition :
     
3
5000
X
1
2500
X = -
361
200
+
939
400

    Combine the items on the left of the equation:
     
1
5000
X = -
361
200
+
939
400

    Combine the items on the right of the equation:
     
1
5000
X =
217
400

    The coefficient of the unknown number is reduced to 1 :
      X =
217
400
÷
1
5000
        =
217
400
× 5000
        =
217
2
× 25

    We obtained :
      X =
5425
2
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 2712.5



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