Simplifying Fractions before Multiplying

Big Idea:

By simplifying fractions before we multiply, we make the multiplication easer and leave the answer in its simplest form. (Also called pre-reducing.)

 

Remember:

You can save work in some multiplication problem by simplifying before you multiply.

Step 1. Take all the mixed numbers and make them improper fractions. Multiply fractions
Step 2. Find one numerator and one denominator with a common factor. Find the GCF to pre-reduce
Step 3. Divide these numbers by their common factor. Simplifying before  multiplying fractions
Step 4. Repeat the process if there are other numerators and denominators with a common factor. simplifying before multiplying fractions
Pre-reducing fractions before multiplying
Step 5. Multiply across. simplifying before multiplying fractions