There are 550 calories in a 100 gram bar of chocolate. Write this rate as a simplified fraction. (11)/(2) (550calories)/(100grams) (2grams)/(11calorics) (11calories)/(2grams)

## Step 1<br />The problem provides us with a rate of 550 calories per 100 grams of chocolate. This can be written as a fraction, where the numerator is the number of calories and the denominator is the weight in grams.<br /><br />### \(\frac{550 \text{ calories}}{100 \text{ grams}}\)<br /><br />## Step 2<br />Next, we simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 550 and 100 is 50.<br /><br />### \(\frac{550 \div 50}{100 \div 50} = \frac{11}{2}\)