# Simplify Algebraic Fractions

8 Questions | Total Attempts: 107

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1. (x-5)/4 - (2x-3)/5= 1/20[5(x-5)-4(2x-3)]=1/20[5x-25-9x+12]= (-4x-13)/202. 5/(2x-1) + 2/(1-2x)= 5/(2x-1) - 2/(2x-1)= 3/(2x-1)3. 5/(2x-1) + 2/(1-2x) - 4/(x+5)= 3/(2x-1) - 4/(x+5)= [3(x+5) - 4(2x-1)] / [(2x-1)(x+5)]= [3x+15-8x+4] / [(2x-1)(x+5)]= (19-5x) / [(2x-1)(x+5)]

Related Topics
• 1.
Simplify (4x-3)/5 + (2x-5)/4
• A.

(26x-10)/20 = (13x-5)/10

• B.

(26x-30)/20

• C.

(26x-45)/20

• D.

(6x-10)/9

• 2.
Simplify (4x-3)/3 + (2x-5)/5
• A.

(26x-30)/15

• B.

(26x-40)/15

• C.

(14x-40)/15

• D.

(22x-40)/8

• 3.
Simplify (4x-3)/3 - (2x-5)/5
• A.

(14x-40)/15

• B.

(26x-40)/15

• C.

(26x-10)/15

• D.

(14x-10)/15

• 4.
Simplify 3/(4x-3) - 5/(2x-5)
• A.

(14x-10)/[(4x-3)(2x-5)]

• B.

-10/[(4x-3)(2x-5)]

• C.

(10-14x)/[(4x-3)(2x-5)]

• D.

-14x/[(4x-3)(2x-5)]

• 5.
Simplify 3/(4x-3) - 5/(3-4x)
• A.

2/(4x-3)

• B.

8/(3-4x)

• C.

8/(4x-3)

• D.

2/(3-4x)

• 6.
Simplify 3/(4x-3) + 5/(3-4x)
• A.

2/(4x-3)

• B.

8/(3-4x)

• C.

8/(4x-3)

• D.

2/(3-4x)

• 7.
Simplify 3/(4x-3) - 5/(3-4x) - 4/(x+5)
• A.

(2-18x)/[(4x-3)(x+5)]

• B.

(9x-1)/[(4x-3)(x+5)]

• C.

(9x-1)/[(3-4x)(x+5)]

• D.

2(1-9x)/[(3-4x)(x+5)]

• 8.
Simplify 3/(5x-3) - 4/(3-5x) - 3/(2x+5)
• A.

(x-38)/[(5x-3)(2x+5)]

• B.

44-x/[(5x-3)(2x+5)]

• C.

44-x/[(3-5x)(2x+5)]

• D.

4(x-11)/[(3-5x)(2x+5)]