# *to "get rid" of a fraction multiply by the...?

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**Multiply By The Reciprocal **

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A few examples...

1)

2)

3)

No matter the fraction, turning it "upside down" (flipping its numerator/denominator) then multiplying by the same fraction will **usually** give you a value = 1

**But there are some more advanced cases where this does not always occur. Especially when dealing with variables...**

**Let's try something a bit harder...say you're given two fractions to divide:**

As usual, multiply by the reciprocal of the divisor...

**Multiply both sides together**

**..."Divide" by canceling out common terms**

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Multiply by the value in the denominator of the fraction

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Let's say that you had the following equation

You can also view this as

So we know that

Since you multiplied the left side of the equation by 3, you have to do that to the right side of the equation too.

The equation wasn't so "beautiful" because we still got a fraction as the value for

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