Everyday examples of ordering fractions from least to greatest

📚 Quick Study Guide

• 🍎 When fractions have the same denominator (the bottom number), the fraction with the smaller numerator (the top number) is smaller. For example, $\frac{2}{5}$ is less than $\frac{3}{5}$.
• 🍕 To compare fractions with different denominators, you need to find a common denominator. This is a number that all the denominators can divide into evenly.
• 💡 Once you have a common denominator, rewrite each fraction with the new denominator. Then, compare the numerators just like in step 1.
• 📝 A helpful tip: Sometimes you can simplify fractions before comparing them. For example, $\frac{2}{4}$ can be simplified to $\frac{1}{2}$.
• 🧮 Remember, the larger the denominator, the smaller the fraction piece if the numerators are the same. $\frac{1}{4}$ is smaller than $\frac{1}{2}$ because you are dividing something into more pieces.

🧪 Practice Quiz

1. Which of these fractions is the smallest: A) $\frac{1}{3}$ B) $\frac{1}{2}$ C) $\frac{1}{4}$ D) $\frac{1}{5}$
2. Order these fractions from least to greatest: $\frac{2}{6}$, $\frac{5}{6}$, $\frac{1}{6}$, $\frac{3}{6}$. A) $\frac{5}{6}$, $\frac{3}{6}$, $\frac{2}{6}$, $\frac{1}{6}$ B) $\frac{1}{6}$, $\frac{2}{6}$, $\frac{3}{6}$, $\frac{5}{6}$ C) $\frac{3}{6}$, $\frac{5}{6}$, $\frac{1}{6}$, $\frac{2}{6}$ D) $\frac{2}{6}$, $\frac{1}{6}$, $\frac{3}{6}$, $\frac{5}{6}$
3. You have $\frac{1}{2}$ of a pizza and your friend has $\frac{1}{4}$ of a pizza. Who has less pizza? A) You B) Your friend C) You both have the same amount D) Cannot be determined
4. Which of these fractions is greater than $\frac{1}{3}$? A) $\frac{2}{6}$ B) $\frac{1}{4}$ C) $\frac{1}{5}$ D) $\frac{1}{2}$
5. Order these fractions from least to greatest: $\frac{1}{2}$, $\frac{1}{3}$, $\frac{1}{4}$. A) $\frac{1}{2}$, $\frac{1}{3}$, $\frac{1}{4}$ B) $\frac{1}{4}$, $\frac{1}{3}$, $\frac{1}{2}$ C) $\frac{1}{3}$, $\frac{1}{2}$, $\frac{1}{4}$ D) $\frac{1}{2}$, $\frac{1}{4}$, $\frac{1}{3}$
6. Which fraction is the largest: A) $\frac{3}{8}$ B) $\frac{3}{4}$ C) $\frac{3}{5}$ D) $\frac{3}{7}$
7. You ate $\frac{2}{5}$ of a cake and your sibling ate $\frac{1}{3}$ of the same cake. Who ate more? A) You B) Your sibling C) You both ate the same amount D) Cannot be determined