3.5 SOLVING EQUATIONS W/ FRACTIONS SWBAT: Solve Equations with Fractions.

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!

What is an LCM again? It’s ok if you forgot… CLICK HERE TO WATCH THIS VIDEO!!!

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!

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!

You Try! ) x=1; 2) x=5 3) x= -3 4) x= 3/7

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! Lets undo operations!

Ex 2B: Different Denominators Solve 4 and 5 have a LCM of 20, so multiply each side by 20! Distribute the 20 to both sides! Now our equation is something more familiar! We can solve this! Lets undo operations!

Ex 2C: Different Denominators Solve 3 and 4 have a LCM of 12, so multiply each side by 12! Use the 12 to undo the denominators! Now our equation is something more familiar! We can solve this! Distribute the leftover factors!

You Try! ) 71/4 2) 10/3 3) -3/4 4) 10/17 5) 68 6) -13/3

Ex 2C: Different Denominators Solve 3 and 4 have a LCM of 12, so multiply each side by 12! Use the 12 to undo the denominators! Now our equation is something more familiar! We can solve this! Distribute the leftover factors!

Ex 2C: Different Denominators Solve 3 and 4 have a LCM of 12, so multiply each side by 12! Use the 12 to undo the denominators! Now our equation is something more familiar! We can solve this! Distribute the leftover factors!

Ex 3: Variables in Denominators Solve The Denominators 3 and x can be eliminated by multiplying both sides each one!

Ex 3B: Variables in Denominators Solve The Denominators 28 and x – 1 can be eliminated by multiplying both sides each one!

You try… 1) 2) 3) 4) 1) -15, 2) 0 3) -8 4) 6

Ex 4: Distribution of FRACTIONS?? Solve We can undo the fraction by multiplying by 3, then only have to distribute the 2!

Ex 4: 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!

You try… 1) 2) 3) 4) 1) 36, 2) 7, 3) 8, 4) 0