Final answer:
To solve the equation 2/5 + f = 4/15, subtract 2/5 from both sides of the equation and simplify to find the value of f.
Step-by-step explanation:
To solve the equation 2/5 + f = 4/15, we need to isolate the variable f. To do this, we can subtract 2/5 from both sides of the equation:
2/5 + f - 2/5 = 4/15 - 2/5
This simplifies to:
f = 4/15 - 2/5
Now, we need to find a common denominator for the fractions:
f = 4/15 - 6/15
Subtracting the fractions gives us:
f = -2/15
Therefore, the solution to the equation is f = -2/15.