Convert improper fractions to mixed numbers Grade 4 Fractions Worksheet \( \begin{array}{lll}\text { Convert. } \\ \begin{array}{lll}\text { 1. } \frac{21}{12}= & \text { 2. } \frac{7}{4}= & \text { 3. } \frac{40}{12}=\end{array}\end{array} \)

Sure! Let's convert each improper fraction to a mixed number step by step. ### 1. Convert \( \frac{21}{12} \) to a mixed number: - **Divide the numerator by the denominator:** \( 21 \div 12 = 1 \) with a **remainder** of **9**. - **Write the mixed number:** The whole number is **1**, and the remainder becomes the new numerator over the original denominator. \( \frac{21}{12} = 1 \frac{9}{12} \) - **Simplify the fraction (if possible):** \( \frac{9}{12} \) can be simplified by dividing both the numerator and the denominator by **3**. \( \frac{9 \div 3}{12 \div 3} = \frac{3}{4} \) So, \( \frac{21}{12} = 1 \frac{3}{4} \) ### 2. Convert \( \frac{7}{4} \) to a mixed number: - **Divide the numerator by the denominator:** \( 7 \div 4 = 1 \) with a **remainder** of **3**. - **Write the mixed number:** \( \frac{7}{4} = 1 \frac{3}{4} \) - **Simplify the fraction (if possible):** \( \frac{3}{4} \) is already in its simplest form. ### 3. Convert \( \frac{40}{12} \) to a mixed number: - **Divide the numerator by the denominator:** \( 40 \div 12 = 3 \) with a **remainder** of **4**. - **Write the mixed number:** \( \frac{40}{12} = 3 \frac{4}{12} \) - **Simplify the fraction (if possible):** \( \frac{4}{12} \) can be simplified by dividing both the numerator and the denominator by **4**. \( \frac{4 \div 4}{12 \div 4} = \frac{1}{3} \) So, \( \frac{40}{12} = 3 \frac{1}{3} \) ### **Summary of Conversions:** 1. \( \frac{21}{12} = 1 \frac{3}{4} \) 2. \( \frac{7}{4} = 1 \frac{3}{4} \) 3. \( \frac{40}{12} = 3 \frac{1}{3} \) --- **Practice Tip:** To convert an improper fraction to a mixed number: 1. **Divide** the numerator by the denominator. 2. **Write** the whole number part. 3. **Use** the remainder over the original denominator for the fractional part. 4. **Simplify** the fraction if possible. Keep practicing, and you'll get the hang of it in no time!