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3.6 Clearing an Equation of Fractions and decimals To Clear Fractions • Multiply every term by the LCD and cross cancel Example 1: What number are we going to multiply by? (LCD) 2 1 5 x x 2x 3 2 6 2 1 5 x x 2x 3 2 6 4 x 3x 5 12 x 7 x 7 x 5 12 x 7 x 5 0 5 5x 5 5 5x 1 x 5 5 Example 3: What is the LCD? g 2 3 2g 3 5 2 30 1g 30 2 30 3 30 2 g 1 3 1 5 1 2 1 1 10 6 15 30 1g 30 2 30 3 30 2 g 1 3 1 5 1 2 1 1 1 1 1 10 g 12 45 60 g 10g +12 =45 -60g +60 g +60 g 70 g + 12 = 45 -12 -12 - Add 60g to both sides to get the variables on the same side - Subtract 12 from both sides to get the numbers on the same side 70 g = 33 - Divide both sides by 70 to solve for g 70 70 g= 33/70 To Clear Decimals……. • Multiply every term in the equation by either: 10, 100, 1,000, 10,000, etc. Key • • • • Tens spot multiply by 10 Hundredths spot multiply 100 Thousandths spot multiply by 1,000 Ten thousandths spot multiply by 10,000 • Remember to multiply every term by the same number!!! 1. 0.8 a + 0.2 = 0.4 a + 0.7 A =5/4 2. 26.45 = 4.2x +1.25 • X=6 Assignment: Page 140 # 2-28 even