Fractions

Summary and Exam Tips for Fractions

Fractions is a subtopic of Number, which falls under the subject Mathematics in the IB MYP curriculum. Fractions can be visualized by dividing a shape into equal parts and shading a certain number of these parts. Equivalent fractions represent the same value, such as $\frac{2}{6} = \frac{1}{3}$. Mixed numbers combine whole numbers and fractions, e.g., $7 \frac{6}{10}$ simplifies to $7 \frac{3}{5}$. Improper fractions have numerators greater than denominators, indicating values greater than 1, like $\frac{7}{4}$. To convert mixed numbers to improper fractions, use the M.A.D method: Multiply, Add, and Divide. For instance, $3 \frac{1}{3}$ becomes $\frac{10}{3}$.

To express improper fractions as mixed numbers, divide the numerator by the denominator. For example, $\frac{11}{5}$ equals $2 \frac{1}{5}$. When comparing fractions, if denominators are the same, the larger numerator indicates a larger fraction. If numerators are the same, the smaller denominator indicates a larger fraction. For different numerators and denominators, convert to equivalent fractions. Addition and subtraction of fractions require a common denominator. For example, $\frac{1}{3} + \frac{5}{6} = 1 \frac{1}{6}$, and $2 - \frac{3}{7} = 1 \frac{4}{7}$.

Exam Tips

• Visualize Fractions: Use diagrams to understand fractions better, especially when dealing with equivalent fractions.
• Practice Conversion: Regularly convert between mixed numbers and improper fractions using the M.A.D method to build fluency.
• Common Denominators: Always find a common denominator when adding or subtracting fractions to simplify calculations.
• Comparison Techniques: Remember the rules for comparing fractions with the same numerator or denominator to quickly determine which is larger.
• Simplification: Always express your final answers in their simplest form to ensure clarity and accuracy.