SIMPLIFYING ALGEBRAIC EXPRESSIONS WITH FRACTIONAL COEFFICIENTS

Simplify each of the following expressions.

Problem 1 :

(1/2)⋅x – (1/9)⋅y – (1/8)⋅x + (11/3)⋅y

Solution :

By combining like terms,

Problem 2 :

(2/3)[2x - 5(x - 6y)]

Solution :

Problem 3 :

(1/2)(x - 3) + (2x + 5)/3

Solution :

Problem 4 :

(x - 2)/4 - (2x - 7)/3

Solution :

Taking least common multiple,

Problem 5 :

(1/3)⋅x + (2x - 5)/7

Solution :

Taking least common multiple,

Problem 6 :

(2x - 5)/3 - 1/5(3x - 2)

Solution :

Taking least common multiple,

Problem 7 :

(x - 1)/3 + 1/2 - 1/4(2x - 3)

Solution :

Taking least common multiple,

Problem 8 :

2x + (x - 4)/9 - (2x - 5)/3 

Solution :

Taking least common multiple,

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