Algebra Tutorials!

 Saturday 20th of January

Try the Free Math Solver or Scroll down to Tutorials!

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

# Multiplying and Dividing Fractions

Examples with Solutions

Example 1: Multiply

solution: This is just another way of posing the problem: Simplify:

Proceeding as in the previous example, we get

as the final solution. We could have done this last step as

to get the same final result, once factors are repositioned between the numerator and denominator to get rid of negative exponents.

Example 2: Simplify .

solution: This is very similar to the expressions handled in the first two examples. Proceeding in the same fashion, we get

(This is what the actual multiplication of the two fractions amounts to. Now this result must be simplified.)

(Here we expand the numerical factors into products of prime factors, and we also sort out the various literal factors.)

(Cancel the common numerical factors and combine powers of the literal symbols.)

(This is a fully simplified form, but it contains negative exponents.)

as the final result with negative exponents eliminated.

Example 3: Simplify .

solution: This is one fraction divided by another. Following the pattern given at the beginning of this document, we know that the first step here is to rewrite the expression as the first fraction multiplied by the reciprocal of the second fraction:

Now the remainder of the work is to simplify this multiplication, exactly as we dealt with the first three examples. So