Question

there are 550 calories in a 100 gram bar of chocolate. write this rate as a simplified fraction.
\\(\frac{11}{2}\\)
\\(\frac{550 \text{ calories}}{100 \text{ grams}}\\)
\\(\frac{2 \text{ grams}}{11 \text{ calories}}\\)
\\(\frac{11 \text{ calories}}{2 \text{ grams}}\\)

Explanation:

Step1: Set up initial rate

$\frac{550 \text{ calories}}{100 \text{ grams}}$

Step2: Simplify the fraction

Divide numerator and denominator by 50: $\frac{550\div50}{100\div50} = \frac{11 \text{ calories}}{2 \text{ grams}}$

Answer:

$\frac{11 \text{ calories}}{2 \text{ grams}}$ (corresponding to the last option)