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Grade 8 - Mathematics
1.5 Equations With Fractional Coefficients - II

Example: Solve the equation 5x/3 + 7/2 = 4.
Solution:
L.C.M. of denominators 3 and 2 is 6.
Multiplying both sides of the equation by 6 we get,
6*5x/3 + 6*7/2 = 6*4.
10x+21 = 24
10x = 24-21
10x = 3
x = 3/10

Verification:
Substitute x = 3/10 in the equation.
L.H.S.5x/3 + 7/2 = 5/3*3/10 + 7/2 = 1/2 + 7/2
(1+7)/2 = 8/2 = 4 = R.H.S.
\ x = 3/10 is the solution.

Directions: Solve the following problems. Also write at least 5 equations with fractional coefficients of your own and solve them.
Q 1: Solve the equation 7x/8 + 3/2 = 5.
Answer:

Q 2: Solve the equation 3x/2 + 5/6 = 4.
Answer:

Q 3: Solve the equation 4x/7 + 9/2 = 5.
Answer:

Q 4: Solve the equation 9x/4 + 9/2 = 5.
Answer:

Q 5: Solve the equation 7x/3 - 4/3 = 4.
Answer:

Q 6: Solve the equation 8x/5 + 5/2 = 2.
Answer:

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Question 8: This question is available to subscribers only!


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