To solve the equation 2/5m + 3/5m - 2/15 = 1/6, we first combine like terms:
(2/5 + 3/5)m - 2/15 = 1/(5/5)m - 2/15 = 1/m - 2/15 = 1/6
Next, we add 2/15 to both sides:
m - 2/15 + 2/15 = 1/6 + 2/1m = 5/30 + 4/3m = 9/3m = 3/10
Therefore, the solution to the equation is m = 3/10.
Next, to solve the equation z - 8/15z = 1/3, we combine like terms:
z - 8/15z = 1/(1 - 8/15)z = 1/(15/15 - 8/15)z = 5/1(7/15)z = 5/15
Now, we divide both sides by 7/15:
z = (5/15) / (7/15z = 5/15 15/z = 1/3 15/z = 5/7
Therefore, the solution to the equation is z = 5/7.
Finally, for the equation 5/9x = 1, we solve for x by multiplying both sides by the reciprocal of 5/9 (which is 9/5):
(9/5) (5/9)x = 1 (9/5x = 9/5
Therefore, the solution to the equation is x = 9/5 or 1 4/5.
To solve the equation 2/5m + 3/5m - 2/15 = 1/6, we first combine like terms:
(2/5 + 3/5)m - 2/15 = 1/
(5/5)m - 2/15 = 1/
m - 2/15 = 1/6
Next, we add 2/15 to both sides:
m - 2/15 + 2/15 = 1/6 + 2/1
m = 5/30 + 4/3
m = 9/3
m = 3/10
Therefore, the solution to the equation is m = 3/10.
Next, to solve the equation z - 8/15z = 1/3, we combine like terms:
z - 8/15z = 1/
(1 - 8/15)z = 1/
(15/15 - 8/15)z = 5/1
(7/15)z = 5/15
Now, we divide both sides by 7/15:
z = (5/15) / (7/15
z = 5/15 15/
z = 1/3 15/
z = 5/7
Therefore, the solution to the equation is z = 5/7.
Finally, for the equation 5/9x = 1, we solve for x by multiplying both sides by the reciprocal of 5/9 (which is 9/5):
(9/5) (5/9)x = 1 (9/5
x = 9/5
Therefore, the solution to the equation is x = 9/5 or 1 4/5.