Grade 4 Test Questions: Arranging Fractions in Order

📚 Quick Study Guide

🔢 Understanding Fractions: A fraction represents a part of a whole and consists of two parts: the numerator (top number) and the denominator (bottom number). For example, in the fraction $\frac{3}{4}$, 3 is the numerator and 4 is the denominator. ⚖️ Comparing Fractions with the Same Denominator: When fractions have the same denominator, the fraction with the larger numerator is greater. For example, $\frac{5}{8} > \frac{3}{8}$. ➕ Comparing Fractions with Different Denominators: 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. Then, convert each fraction to an equivalent fraction with the common denominator. ➗ Finding a Common Denominator: The easiest way to find a common denominator is to find the Least Common Multiple (LCM) of the denominators. For example, to compare $\frac{1}{3}$ and $\frac{1}{4}$, the LCM of 3 and 4 is 12. Convert both fractions to have a denominator of 12: $\frac{1}{3} = \frac{4}{12}$ and $\frac{1}{4} = \frac{3}{12}$. 📈 Ordering Fractions: Once the fractions have a common denominator, you can easily order them by comparing their numerators. For example, ordering $\frac{3}{12}$, $\frac{4}{12}$, and $\frac{2}{12}$ gives you: $\frac{2}{12} < \frac{3}{12} < \frac{4}{12}$.

Practice Quiz

1. Question 1: Which of the following fractions is the smallest?
   1. $\frac{2}{5}$
   2. $\frac{4}{5}$
   3. $\frac{1}{5}$
   4. $\frac{3}{5}$
2. Question 2: Arrange the following fractions in ascending order: $\frac{1}{4}$, $\frac{3}{4}$, $\frac{2}{4}$.
   1. $\frac{3}{4}$, $\frac{2}{4}$, $\frac{1}{4}$
   2. $\frac{1}{4}$, $\frac{2}{4}$, $\frac{3}{4}$
   3. $\frac{2}{4}$, $\frac{1}{4}$, $\frac{3}{4}$
   4. $\frac{3}{4}$, $\frac{1}{4}$, $\frac{2}{4}$
3. Question 3: Which fraction is the largest: $\frac{2}{6}$, $\frac{5}{6}$, $\frac{1}{6}$, $\frac{3}{6}$?
   1. $\frac{2}{6}$
   2. $\frac{1}{6}$
   3. $\frac{5}{6}$
   4. $\frac{3}{6}$
4. Question 4: Arrange these fractions in descending order: $\frac{5}{7}$, $\frac{2}{7}$, $\frac{6}{7}$.
   1. $\frac{2}{7}$, $\frac{5}{7}$, $\frac{6}{7}$
   2. $\frac{6}{7}$, $\frac{5}{7}$, $\frac{2}{7}$
   3. $\frac{5}{7}$, $\frac{6}{7}$, $\frac{2}{7}$
   4. $\frac{2}{7}$, $\frac{6}{7}$, $\frac{5}{7}$
5. Question 5: Which of these fractions is the smallest? $\frac{1}{2}$, $\frac{1}{3}$, $\frac{1}{4}$, $\frac{1}{5}$.
   1. $\frac{1}{2}$
   2. $\frac{1}{3}$
   3. $\frac{1}{5}$
   4. $\frac{1}{4}$
6. Question 6: Order the following from least to greatest: $\frac{1}{2}$, $\frac{3}{8}$, $\frac{1}{4}$.
   1. $\frac{1}{2}$, $\frac{1}{4}$, $\frac{3}{8}$
   2. $\frac{3}{8}$, $\frac{1}{4}$, $\frac{1}{2}$
   3. $\frac{1}{4}$, $\frac{3}{8}$, $\frac{1}{2}$
   4. $\frac{1}{2}$, $\frac{3}{8}$, $\frac{1}{4}$
7. Question 7: Which fraction is the greatest: $\frac{2}{3}$, $\frac{3}{4}$, $\frac{5}{6}$, $\frac{7}{12}$?
   1. $\frac{7}{12}$
   2. $\frac{2}{3}$
   3. $\frac{3}{4}$
   4. $\frac{5}{6}$