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Objective: Learn to write fractions in simplest form. Take a white paper and fold it in half. Shade half of the paper. How many sides are in total? How much is shaded? What is the fraction? ______________ Now, fold the same paper in 4 parts. How much is shaded our of the total amount of squares? __________________ Now, fold it again in 8 parts and then 16 parts. What fractions do you see? __________ when a and b are whole numbers greater than 0, it is called a fraction. The number on top is called the numerator. The bottom number is called the denominator. 1÷4= 1 numerator 4 denominator When 2 fractions represent the same quantity, they are equivalent. For Example to find two equivalent fractions to 12 16 So, first we are going to multiply… 12 × 2 =24 16 × 2 =32 Then we will divide both numbers and get a smaller equivalent fraction. 12 ÷ 2 = 6 16 ÷ 2= 8 24 and 6 are equivalent to 12 32 8 16 1. Find 2 equivalent fractions for each fraction. 6 9 2. 25 30 3. 10 12 A fraction is in simplest form or lowest terms when 1 is the only common factor of the numerator and the denominator. For example: 8 ÷ 2 = 4 10 ÷ 2 = 5 10 ÷ 5 = 2 15 ÷ 5= 3 Your Example: Express each fraction in lowest terms. 1. 5 = 2. 30 40 36 1. Write 2 equivalent fractions for each fraction. 9 12 1. Write each fraction in simplest form. 12 20 2. 25 35 2. 15 25 3. 16 32 3. 24 28 4. 14 20 4. 20 80 5. 5. 32 32 10 20