1. ALGEBRA READINESS LESSON 4-3 Warm Up Lesson 4-3 Warm Up

2. ALGEBRA READINESS LESSON 4-3 Warm Up Lesson 4-3 Warm Up

3. ALGEBRA READINESS “Equivalent Fractions” (4-3) What are “equivalent fractions”? equivalent fractions: fractions that name equal parts or the same point on a number line Examples: = = 1212 2424 4848 1313 2626 4 12

4. ALGEBRA READINESS “Equivalent Fractions” (4-3) How do you find equivalent fractions? To find fractions that are equivalent (equal) to each other, multiply or divide the numerator and denominator by the same nonzero number (note: You will need to use common divisors or factors when dividing.) Examples: Write two fractions that are equal to. So = = 6868 3434 6868 18 24

5. ALGEBRA READINESS Write three fractions equivalent to. 6969 Divide the numerator and denominator by 3. 6969 = 2323 ÷3÷3 ÷3÷3 Multiply the numerator and denominator by 2. 6969 = 12 18 22 22 Multiply the numerator and denominator by 3. 6969 = 18 27 33 33 So, = = =. 2323 6969 12 18 27 Equivalent Fractions LESSON 4-3 Additional Examples

6. ALGEBRA READINESS “Equivalent Fractions” (4-3) What is “simplest form”? How do you write a fraction in its simplest form? simplest form (also called reduced form): When the only common divisor of the numerator and denominator of a fraction is 1. To write a fractions in its simplest from, divide the numerator and denominator by the greatest common divisor (biggest number that goes into both) or divide the numerator and denominator by common factors until you can’t divide anymore. Examples: Reduce to its simplest form. Method 1: Divide by the GCD Step 1: Find the GCD: Step 2: Divide by the GCD: Method 2: Keep dividing by common denominators until you can’t divide. = = 20 28 20  2 28  2 10  2 14  2 5757

7. ALGEBRA READINESS Write in simplest form. 16 40 Find the greatest common divisor. 16: 1, 2, 4, 8, 16 List the divisors for the numerator and denominator. 40: 1, 2, 4, 5, 8, 10, 20, 40 The fraction written in simplest form is. 16 40 2525 ÷8÷8 ÷8÷8 Divide the numerator and denominator by the GCD. 16 40 = 2525 The GCD of 16 and 40 is 8. Equivalent Fractions LESSON 4-3 Additional Examples

8. ALGEBRA READINESS A store stocks 12 types of blue pens, 6 types of black pens, and 2 types of red pens. In simplest form, what fraction of the pens are blue? Add to find the total number of types of pens: 12 + 6 + 2 = 20. ÷4÷4 ÷4÷4 Divide the numerator and denominator by the GCD, 4. 12 20 = 3535 Write the fraction. The numerator is number of types of blue pens. The denominator is total number of types of pens. 12 20 So, of the types of pens are blue pens. 3535 Equivalent Fractions LESSON 4-3 Additional Examples

9. ALGEBRA READINESS Write each fraction in simplest form. 1.2. 3.4. 55 100 9 12 11 20 3434 1212 9 10 18 20 36 72 Equivalent Fractions LESSON 4-3 Lesson Quiz