Final answer:
To convert 135 degrees to radian measure in a fraction, multiply the degree measure by π/180.
Step-by-step explanation:
To convert 135 degrees to radian measure in a fraction, we need to use the conversion factor between degrees and radians. One complete revolution, or 360 degrees, is equal to 2π radians. So, to convert degrees to radians, we can use the ratio:
radian measure = (degree measure × π) / 180
Substituting the given angle, we have:
radian measure = (135 × π) / 180
Simplifying the expression, we get:
radian measure = 3π/4