17. Calculate (2 Points) * \[ \frac{3}{22} \div \frac{6}{11} \] \( \frac{1}{4} \) \( \frac{1}{2} \) 0 \( \frac{1}{11} \)

To solve \(\frac{3}{22} \div \frac{6}{11}\), we first flip the second fraction and change the division to multiplication. This gives us: \[ \frac{3}{22} \times \frac{11}{6} \] Next, we multiply the numerators and the denominators: \[ \frac{3 \times 11}{22 \times 6} = \frac{33}{132} \] Now, we simplify \(\frac{33}{132}\) by dividing both the numerator and denominator by their greatest common divisor, which is 33: \[ \frac{33 \div 33}{132 \div 33} = \frac{1}{4} \] So the answer is \(\frac{1}{4}\). For some historical context, fractions have been around for thousands of years! Ancient Egyptians used a system of unit fractions, and they were one of the first civilizations to record mathematical concepts involving fractions. Fast forward to the Renaissance, when fractions became more standardized, leading to the elegant notation we use today. In real-world applications, understanding how to work with fractions is crucial, especially in cooking! Recipes often require precise measurements, and being able to add, subtract, multiply, and divide fractions allows you to adapt recipes for larger or smaller servings. So next time you’re in the kitchen, remember your fraction skills can help you whip up a culinary masterpiece!