Solved examples: converting fractions for Grade 4 math students

📚 Quick Study Guide

🔍 What is a Fraction? A fraction represents a part of a whole. It's written as $\frac{numerator}{denominator}$. The numerator (top number) tells you how many parts you have, and the denominator (bottom number) tells you how many equal parts make up the whole. 💡 Equivalent Fractions: These are fractions that look different but have the same value. For example, $\frac{1}{2}$ and $\frac{2}{4}$ are equivalent. To find equivalent fractions, you can multiply or divide both the numerator and denominator by the same number. 📝 Simplifying Fractions: This means making the fraction as simple as possible. You do this by dividing both the numerator and denominator by their greatest common factor (GCF). For example, to simplify $\frac{4}{8}$, the GCF is 4. Divide both by 4 to get $\frac{1}{2}$. ➕ Converting Mixed Numbers to Improper Fractions: A mixed number has a whole number and a fraction (e.g., $2\frac{1}{3}$). To convert it, multiply the whole number by the denominator, add the numerator, and keep the same denominator. So, $2\frac{1}{3} = \frac{(2 \times 3) + 1}{3} = \frac{7}{3}$. ➗ Converting Improper Fractions to Mixed Numbers: An improper fraction has a numerator larger than the denominator (e.g., $\frac{5}{2}$). To convert it, divide the numerator by the denominator. The quotient (whole number result) is the whole number part of the mixed number. The remainder is the numerator of the fraction, and you keep the same denominator. So, $\frac{5}{2} = 2\frac{1}{2}$.

✍️ Practice Quiz

1. What fraction of the circle is shaded?
   1. $\frac{1}{4}$
   2. $\frac{1}{3}$
   3. $\frac{1}{2}$
   4. $\frac{3}{4}$
2. Which fraction is equivalent to $\frac{2}{3}$?
   1. $\frac{3}{4}$
   2. $\frac{4}{6}$
   3. $\frac{2}{6}$
   4. $\frac{1}{3}$
3. Simplify the fraction $\frac{6}{12}$.
   1. $\frac{2}{3}$
   2. $\frac{1}{3}$
   3. $\frac{1}{2}$
   4. $\frac{3}{4}$
4. Convert the mixed number $1\frac{1}{4}$ to an improper fraction.
   1. $\frac{4}{5}$
   2. $\frac{5}{4}$
   3. $\frac{1}{4}$
   4. $\frac{4}{4}$
5. Convert the improper fraction $\frac{7}{3}$ to a mixed number.
   1. $1\frac{1}{3}$
   2. $2\frac{1}{3}$
   3. $3\frac{1}{3}$
   4. $2\frac{2}{3}$
6. Which fraction is the largest?
   1. $\frac{1}{2}$
   2. $\frac{1}{4}$
   3. $\frac{3}{4}$
   4. $\frac{1}{8}$
7. What is $\frac{1}{2}$ of 10?
   1. 2
   2. 10
   3. 5
   4. 20