How to Multiply and Divide Negative and Positive Integers by Using Some Examples

This Article will give us some examples to show how to Multiply and Divide Positive and Negative Fractions by using a simple method.
Many students have a difficult time multiplying and dividing negative integers. This Article will teach us a shortcut to solving these operations on fractions.

Things You'll Need

• pencil and
• paper

Instructions

1. 

   Let us multiply (15/16) by (32/25) and divide by (2/18). Notice that these are all positive fractions. When multiplying fractions we multiply the numerators and then multiply the denominators and we put the product of the numerators over the product of the denominators that is we are actually dividing the product of the numerators by the product of the denominators. And when we are dividing by a fraction we actually multiply by the reciprocal of that fraction. Please click on the image for a better understanding.

2. If there are common factors in both the numerators and the denomintors of the fractions, we can reduce these fractions to lowest terms and then we take the product of the resulting numerators and we divide by the product of the resulting denominators. Please click on the image of step #1 for a better understanding.

3. 

   If any one of these integers is a negative integer whether this integer is in the numerator or in the denominator then the answer will be a negative fraction. Similarly, if we had any three of these integers to be negative integers and they were either in the numerator or the denominator the answer would be a negative fraction. Please click on the imsge for better understanding.

4. 

   Also, if they were an even number of negative numbers in the numerator or in the denominator the answer will be a positive fraction. Please click on the imsge for better understanding.

5. Division is multiplying by the reciprocal of a number that is
   [(15/16)]/[(25/32)] is (15/16)(32/25) since the reciprocal of (25/32) is (32/25) and we apply the rules of multiplication. Please click on the image for a better understanding.