Final answer:
To evaluate the expression x - y - z, substitute the given values for x, y, and z into the expression and simplify.
Step-by-step explanation:
To evaluate the expression x - y - z when x = 11/15, y = 1/3, and z = 1/5, we substitute the given values into the expression. The expression becomes:
x - y - z = (11/15) - (1/3) - (1/5)
To evaluate this expression, we need to find a common denominator for the fractions. The least common multiple (LCM) of 15, 3, and 5 is 15, so we multiply each fraction by a form of 1 that will change the denominator to 15:
(11/15) - (1/3) - (1/5) = (11/15) - (1/3) - (1/5) * (3/3) * (5/5) = (11/15) - (5/15) - (3/15) = (11 - 5 - 3)/15 = 3/15
Simplifying the expression, we get:
x - y - z = 3/15 = 1/5