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Fractional and Decimal Coefficients Remember that coefficients are the numbers next to the x. If you have a fraction as a coefficient, you will multiply both sides of the equation by the reciprocal. If you have a decimal as a coefficient, you will divide both sides of the equation by the decimal. Let's try one: 0.38x = 16 Divide by the decimal: 0.38x = 16 0.38 0.38 x =16/0.38 =42.1 when rounded to the nearest tenth Let's try one more: 1.25x = 0.3 Divide by the decimal: 1.25x = 0.3 1.25 1.25 x =0.3/1.25 =42.1 when rounded to the nearest tenth Now it's your turn: Round to the nearest tenth 1.28x = 14 x = 0.35x = -17 x= 135 = 0.52x x = -2.3x = 15 x = Let's review fractional coefficients: Multiply both sides by 3 8 8 3 x = 15 3 8 x = (15 x 8)/3 = 40 x = 15 8 3 8 3 Now you try: 15 6 -5 6 5 4 5 6 x = 20 x = x = -20 x = x = -20 x = x = -20 x = |