Please help me with this math problem involving LCD!?

Question

http://i38.tinypic.com/1z4ls9l.jpg

please click to see! and explain.. thanks.

Answer 1

u have to get common denominators

Answer 2

(x/5) + (1/2) = (3x/6)

Reduce the right side

(x/5) + (1/2) = (x/2)

Multiply all the fractions by the smallest number that the denominators, 2 and 5, go into, which is 10

10(x/5) + 10(1/2) = 10(x/2)

10x/5 + 10/2 = 10x/2

Reduce the fractions

2x + 5 = 5x

Subtract 2x from both sides

5 = 3x

Divide both sides by 3

x = 5/3

Hope this helps you!  Please email for further clarification.

Answer 3

Multiply by the common denominator which is 30 and you get...

6x + 15 = 15x

9x = 15

x = 5/3

Answer 4

x/5+1/2=3x/6

I would first reduce 3x/6 to x/2

ok what is the LCD of 5 and 2?

if they have no common factors, multiply them

5*2=10

now your question is

2x/10+5/10=x/2

add them together

2x+5/10=x/2

if you were finding x i would change x/2 to 5x/10

2x+5/10=5x/10

multiply each side by 10

2x+5=5x

subtract 2x from each side

5=3x

transitive property

3x=5

x=5/3