I am trying to write a sketch wherein the led brightness increases in increments of 15 until it reaches 255. At that point I want to make decrements of 15 until it reaches 0. The increment part of the program works well but the decrement part goes haywire. It gets stuck between 255 & 240. I am not sure how can I fix it. Could you please tell how can I make it work?

Here is my sketch:

int led = 9; //led pin
int fade = 0; // pwm value

void setup() {
  // put your setup code here, to run once:

  Serial.begin(9600);
  pinMode(led, OUTPUT);
}

void loop() {
  // put your main code here, to run repeatedly:

   analogWrite(led,fade);
   fade += 15;
   Serial.println(fade);
   delay(250);
   
  if (fade >= 240){
    fade = fade - 15;
    analogWrite(led, fade);
    Serial.println(fade);
    delay(250);
  }

}