# How can we solve fractional equations? Do now: Solve for x What steps did you use to solve?

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How can we solve fractional equations? Do now: Solve for x What steps did you use to solve?

Reminders about fractions  To add or subtract we need common denominators  We can cross multiply when an equation is in the following form:  This works only if there is nothing in the equation but the two fractions.  Ex.NOYES

So how can we actually solve these equations?  There are a few ways to do so.  One way is to cross multiply.  1) Convert the problem into nothing but fractions on either side by addition or subtraction with common denominators  2) Cross multiply  3) Solve for the variable  4) Check

Example  First get common denominators so we can add.  Cross multiply  Solve for x  Check

Is there another way to do this?  Yes, instead of rewriting everything into fractions, look for the LCD of all fractions and rational expressions  Next multiply through by this LCD  Now you can solve like normal  MAKE SURE YOU CHECK YOUR ANSWERS!!!

Example  LCD is x 2  Multiply BOTH SIDES by the LCD  Solve  Check

Example