Understanding fractions

What is a Fraction?

A fraction represents a part of a whole. It consists of two numbers: 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.

Types of fractions

1. Proper fractions: The numerator is less than the denominator (e.g., $\frac{2}{5}$).
2. Improper fractions: The numerator is greater than or equal to the denominator (e.g., $\frac{5}{3}$).
3. Mixed Numbers: A whole number combined with a proper fraction (e.g., 1 $\frac{1}{2}$).

Converting Between Improper fractions and Mixed Numbers

To convert an improper fraction to a mixed number:

1. Divide the numerator by the denominator.
2. The quotient is the whole number, and the remainder is the new numerator.
3. Keep the same denominator.

Example:

Convert $\frac{9}{4}$ to a mixed number:

1. Divide 9 by 4 = 2 with a remainder of 1.
2. Write it as 2 $\frac{1}{4}$.

Key Questions

• What are the parts of a fraction?
• How do you identify proper and improper fractions?
• How can you convert an improper fraction to a mixed number?

Summary

Understanding fractions is essential for grasping how to work with parts of a whole. Remember the definitions and the conversion process to solidify your knowledge in this area.