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)

Example 3: What is the LCD?

6 15 10 1 1 1

10g +12 =45 -60g - Add 60g to both sides to get the variables on the same side +60 g +60 g 70 g + 12 = 45 - Subtract 12 from both sides to get the numbers on the same side -12 -12 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