Solve: 5/4 - 5/9 = x/12?

Answer 1

(5/4) - (5/9) = (x/12)

Multiply everything by 36

45 - 20 = 3x
3x = 25
x = 8 1/3

Answer 2

First: get rid of fractions > take the denominators and multiply them by everything:

4(9)(12)(5/4) - 4(9)(12)(5/9) = 4(9)(12)(x/12)

Second: cross cancel "like" terms:

9(12)(5) - 4(12)(5) = 4(9)(x)
540 - 240 = 36x
300 = 36x

Third: solve for "x" by keeping it on one side: divide both sides by 36

300/36 = 36x/36
25/3 = x; x = 25/3

Answer 3

5/4 - 5/9 = x/12
5/4 *9 - 5/9 * 4 = x/12
45/36 - 20/36 = x/12
25/36 = x/12
25/36 * 36 = x/12 * 36
3x = 25
x = 25/3

Answer 4

one million. -8/63b = -4/9 sixty 3/one million (-8/63b) = (-4/9) sixty 3/one million -8b = -28 -8b/-8 = -28/-8 b=3.5 2. i don't remember the thank you to do absolute values. Sorry. 3. p + q - (0.7) = ? the place p = 0.seventy 5 and q=-one million.6 0.seventy 5 + -one million.6 - (0.7) =? -0.eighty 5 - (0.7) =? = -one million.fifty 5 4. 3/5 = 9/10b 5/one million (3/5) = (9/10b) 5/one million 3 = 9/2b (3) 2/one million = (9/2b) 2/one million 6 = 9b 6/9 = (9b) / 9 6/9 = b 2/3 = b 5. 3(x + 12)/5 = x + 2 *use the distributive ingredients (3x + 36)/5 = x + 2 5/one million {(3x + 36)/5} = (x + 2) 5/one million 3x + 36 = 5x + 10 (3x + 36) - 3x = (5x +10) - 3x 36 = 2x +10 (36) - 10 = (2x + 10) - 10 26 = 2x (26) / 2 = (2x) / 2 13 = x 6. 6 (y-2) + 5 = -13 *You used the distributive ingredients wisely 6y - 12 + 5 = -13 6y - 7 = -13 (6y - 7) + 7 = -13 + 7 6y = -6 (6y) / 6 = (-6) / 6 y = -one million 7. 5(x-3)/4 = x+one million *Use distributive ingredients (5x-15)/4 = x+one million 4/one million {(5x-15)/4} = (x+one million) 4/one million 5x-15 = 4x+4 (5x-15) +15 = (4x+4) +15 5x = 4x+19 (5x) - 4x = (4x+19) - 4x x = 19

Answer 5

You need to find the least common multiple for the left side of the equation so that you can combine terms. The least common multiple is 36, so the problem can be re-stated as:

45/36 - 20/36 = x/12

25/36 = x/12

for x/12 to equal 25/36, you re-state it with least common multiple as follows:

25/36 = 3x/36

so 3x = 25
so x = 25/3 = 8 1/3

Answer 6

5/4 - 5/9 = x/12
45/36 - 20/36 = 3x/36
25/36 = 3x/36
x = 25/3
QED