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 Depdendent Variable

 Number of equations to solve: 23456789
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 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
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 Solve for:

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# Simplifying Complex Fractions

Example 1

Simplify:

 Solution Step 1 Write the complex fraction using a division symbol, Ã·. Step 2 Invert the second fraction and change the division symbol, Ã·, to the multiplication symbol, Â·. Step 3 Factor the numerators and denominators. Step 4 Cancel all pairs of factors common to the numerators and denominators. Step 5 Multiply the numerators. Multiply the denominators.

Thus,

Example 2

Simplify:

 Solution Step 1 Write the complex fraction using a division symbol, Ã·. Step 2 Invert the second fraction and change the division symbol, Ã·, to the multiplication symbol, Â·. Step 3 Factor the numerators and denominators. Step 4 Cancel all pairs of factors common to the numerators and denominators. Step 5 Multiply the numerators. Multiply the denominators.

Thus,

Note:

In we cannot cancel x. Although x is a factor of the numerator, x is not a factor of the denominator. (In the denominator, x is in a term, not a factor.)