Complete the equivalent fractions 1. \( \frac{1}{3}=\frac{}{27} \)

To find the equivalent fraction for \( \frac{1}{3} \) that has a denominator of 27, you can multiply both the numerator and denominator of \( \frac{1}{3} \) by 9. So, \( \frac{1 \times 9}{3 \times 9} = \frac{9}{27} \). Therefore, \( \frac{1}{3} \) is equivalent to \( \frac{9}{27} \). Here's a fun fact: The concept of equivalent fractions can be traced back to ancient civilizations, where different cultures developed their own systems of measurements. They found that fractions could represent the same value in various ways—one of life's little magical tricks! If you're ever confused about creating equivalent fractions, remember that multiplying or dividing both the numerator and the denominator by the same number will yield the equivalent fraction. Just be cautious of the common mistake of changing one side without scaling the other; equality must be maintained!