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Published byPiers Reynard Parks Modified over 7 years ago
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SOLVING EQUATIONS W/ FRACTIONS USING LCM! SWBAT: Solve Equations with Fractions.
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Fractions? Oh No! Equations involving fractions can be quite difficult to work with. There are easy ways to change the way a problem looks by using Multiplication and LCM’s!
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What is an LCM again? It’s ok if you forgot… CLICK HERE TO WATCH THIS VIDEO!!!
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Ex 1: Solve the equation Solve Since both fractions have a denominator of 11, multiply each side by 11! Distribute the 11 to both sides! Now our equation is something more familiar! We can solve this! Lets undo operations!
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Ex 1B: Solve the equation Solve Since both fractions have a denominator of 3, multiply each side by 3! Now our equation is something more familiar! We can solve this! Lets undo operations! Note: We could also have solved this problem by multiplying both sides by 3/2, the reciprocal of 2/3!
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Pt. 1 Practice… 1.2. 3.4. 1) x=1; 2) x=5 3) x= -3 4) x= 3/7
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Ex 2: Different Denominators Solve 3,9,and 18 have a LCM of 18, so multiply each side by 18! Distribute the 18 to both sides! Now our equation is something more familiar! We can solve this!
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Ex 2B: Different Denominators Solve 4 and 5 have a LCM of 20, so multiply each side by 20!
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Ex 2C: Different Denominators Solve 3 and 4 have a LCM of 12, so multiply each side by 12!
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Pt. 2 Practice 1.2. 3.4. 5. 6. 1) 71/4 2) 10/3 3) -3/4 4) 10/17 5) 68 6) -13/3
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Ex 3: Distribution of FRACTIONS?? Solve Distributing the 2/3 would give us more fractions… We can undo the fraction by multiplying by 3, then only have to distribute the 2!
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Ex 3: OR…… Solve We can also undo the fraction by multiplying by its reciprocal! When multiplying a fraction by its Reciprocal, we always will get a product of 1!
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Pt. 3 Practice… 1) 2) 3) 4) 1) 36, 2) 7, 3) 5, 4) 0
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Ex 4: Variables in Denominators Solve The Denominators 3 and x can be eliminated by multiplying both sides each one!
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Ex 4B: Variables in Denominators? Solve
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Ex 4C: Variables in Denominators Solve The Denominators 28 and x – 1 can be eliminated by multiplying both sides each one!
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Pt. 4 Practice… 1) 2) 3) 4) 5) 6) 1) -15 2) 0 3) -8 4) 6 5) 2 6) 9
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Boom! Solve
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