Algebraic Fractions - Topic 10

Question 1

3x/5 = 12

Answer 1

3x = 5 x 12
3x = 60
X = 60/3
x = 20

Question 2

3x/2 = 1/4

Answer 2

3x x 4 = 1 x 2
12x = 2
12x/12 = 2/12
x = 1/6

Question 3

3/4x = 1 1/2

Answer 3

3x/4 = 3/2
3x x 2 = 4 x 3
6x = 12
6x/6 = 12/6
x = 2

Question 4

X/5 - 3 = 2

Answer 4

x/5 = 2 + 3  
x/5 = 5
x = 5 x 5
x = 25

Question 5

x/3 + 1/4 = 5/2

Answer 5

x/3 = 5/2 - 1/4
x/3 = 10/4 - 1/4
x/3 = 9/4
X x 4 = 3 x 9
4x = 27
x = 6 1/4

Question 6

X/3 = 6

Answer 6

x = 6 x 3
x = 18