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FRACTION CONCEPTS Thursday 11/1 • Before the bell rings... • Have your pencil sharpened. • Have your notebook out and be ready to take notes. • Have your assignment out and be ready to hand in. • United Streaming Video Equivalent Fractions • Investigation-P. 175 • Fold paper into 3 parts lengthwise • Shade 2 parts • Fold other paper into 3 parts lengthwise, then four parts the other way. • Shade an amount equal to your first paper. • How do you write the amounts shaded for each page as a fraction? Folding Papers • How do you know if they are the same? • What relationship do you see between the two fractions? • How can you find equivalent fractions without folding paper each time? Fraction Review • A FRACTION IS USED TO DESCRIBE EQUAL PARTS OF A WHOLE • Fraction: a where a and b are whole b numbers and b • a b means a to zero. b. 1 1 4 = 4 • Numerator: the top number in a fraction. • Also tells how many shares (or parts) • Denominator: the bottom number in a fraction. • Tells what is being counted Equivalent Fractions • Equivalent Fractions: two fractions that represent the same quantity. • The Fundamental Property of Fractions: Allows you to multiply the numerator and denominator by the same non-zero number – the result is an equivalent fraction 3 Example: 6 Examples • Find a fraction with a LARGER denominator that is equivalent to 6 10 • Find a fraction with a SMALLER denominator that is equivalent to 6 10 Lowest Terms • Lowest Terms: A fraction is in lowest terms when 1 is the only common factor of the numerator and denominator. What is this called??? (relatively prime) • To find the lowest term: Divide both the numerator and denominator by the same number until the only common factor between the numerator and denominator is one. • WHAT IS THE BEST NUMBER YOU CAN / BY?? • BE FAIR! Always perform the same operation to the numerator as the Lowest Terms • WHAT IS THE BEST NUMBER YOU CAN DIVIDE BY?? • Dividing by the GCF will simplify your fraction to lowest terms in one step! • BE FAIR! Always perform the same operation to the numerator as the denominator! EXAMPLE 3 Simplifying Fractions GUIDED PRACTICE Write the fraction in simplest form. 4 b. 8 15 = 8 a. 28 4 2 7 Divide out GCF of 8 and 28. The GCF is 1. The fraction is in simplest form. EXAMPLE 4 Using Fractions in Simplest Form GUIDED PRACTICE Basketball At a basketball game, the home team made 14 out of 22 free throw attempts. The visiting team made 10 out of 25 free throw attempts. Write fractions for the number of free throws made by each team. Are the fractions equivalent? 14 Free throws made 7 2 Home Team 11 22 Free throws attempted 2 = 10 25 5 5 = Answer No, 7 and 2 are not equivalent fractions. 11 5 = Free throws made Free throws attempted = Visiting Team 2 5