1. ALGEBRA READINESS LESSON 5-3 Warm Up

2. ALGEBRA READINESS LESSON 5-3 Warm Up

3. ALGEBRA READINESS “Multiplying Rational Numbers” (5-3) How do you multiply fractions? How do you model the multiplication of fractions? To multiply fractions together, multiply the numerators and denominators together separately. If the numerator and denominator have common factors, you can simplify them before multiplying. Example:  Multiply the numerators and denominators together separately. Since 2 and 8 have a GCF, 2, simplify by dividing by 2  Multiply the numerator.  Multiply the denominatos.

4. ALGEBRA READINESS Find –. 4747 5 12 Divide the 4 and 12 by their GCD, 4. 4747 5 12 –= – 5 4 12 7 1 3 Simplify. = – 5 21 = – 5 1 3 7 Multiply the numerators. Multiply the denominators. Multiplying Rational Numbers LESSON 5-3 Additional Examples

5. ALGEBRA READINESS “Multiplying Rational Numbers” (5-3) How do you write a decimal as an improper fraction? To write a decimal as an improper fraction, write the decimal as a mixed number first. Then, change the mixed number into an improper fraction. Example: Change 4.8 to a fraction. 4.8 = 4  4.8 is read “four and eight tenths”. The fractions form of that is 4. 4 =  Multiply the whole number and the denominator (number of parts in a whole) together to find the number of parts in 4 wholes. Then, add the other 8 parts from of the fraction. 8 10 8 10 4 x 10 + 8 10 8 10 48 10

6. ALGEBRA READINESS A gear on a machine makes of a turn in one minute. How many turns does this gear make in 4.8 minutes? The gear makes 3 turns in 4.8 minutes. 1515 2323 4.8 = Write 4.8 as an improper fraction. 2323 2323 24 5 Divide 24 and 3 by their GCD, 3. 2323 24 5 = 1 8 Multiplying Rational Numbers LESSON 5-3 Additional Examples = 8 2 5 1 Multiply the numerators. Multiply the denominators. Simplify. 16 5 = Write the improper fraction as a mixed number. = 3 1515

7. ALGEBRA READINESS “Multiplying Rational Numbers” (5-3) How do you raise a fraction to a power? To raise a fraction to a power, multiply the numerator and denominators by themselves the number of times the exponent tells you to. Example:

8. ALGEBRA READINESS Simplify 3. Multiplying Rational Numbers LESSON 5-3 Additional Examples = 125 216 Multiply the numerators. Multiply the denominators. 5656 5656 5656 = 5656 The base is. 5656 5656 3

9. ALGEBRA READINESS 49 81 6.3 5858 3535 3434 – 5858 4545 – ) ( 7979 ( ) 2 4545 ( ) 4 3838 – 1212 – 256 625 Multiplying Rational Numbers LESSON 5-3 Lesson Quiz Find each product. Simplify. 1. 2.8.4 3. Simplify each expression. 4. 5.