Section 4 1 Introduction to Fractions and Mixed

Section 4. 1 Introduction to Fractions and Mixed Numbers

Fraction • A number that represents a part of a whole. • It consists of a numerator and a denominator. – Numerator represents the number of equal parts of a whole. – Denominator is the total number of parts that make up the whole.

Fraction

Types of Fractions • A PROPER FRACTION is a fraction whose numerator is less than the denominator. • An IMPROPER FRACTION is a fraction whose numerator is more than the denominator.

Example • Given the fraction determine which is a proper fraction and which is an improper fraction.

Mixed Numbers • A number consisting of a whole number and a proper fraction.

Geometric Representation • Writing the value of a proper fraction, improper fraction and a mixed number in diagrams.

Geometric Representation • Writing the value of a proper fraction, improper fraction and a mixed number in diagrams. • The fraction 3/8 in geometric form.

Geometric Representation • Cut the figure into equal pieces, based on the denominator. • Fill in the correct number of pieces, based on the numerator. • Create a geometric representation for

Example • Create a geometric representation for

Example • Create a geometric representation for

Example • Write the fraction.

Converting : Improper Fraction to Mixed Number 1. Use long division, numerator ÷ division. 2. The answer on top will become the whole number. 3. The remainder will become the new numerator. 4. The denominator will stay the same.

Example • Convert to a mixed fraction.

Converting : Mixed Number to Improper Fraction 1. 2. 3. 4. Given : whole number, numerator and denominator. Multiply whole number with denominator. Add result with numerator. Place result in the numerator, keep the denominator.

Example • Convert to an improper fraction.

Example • Given the geometric representation write it in proper fraction, improper fraction, and mixed number form.