Question

Divide the sum of 4/13 and -3/2 by their product

Option 1: 5/14
Option 2: -1/14
Option 3: 1/14
Option 4: -5/14

Answer 1

To divide the sum of two fractions by their product, find the sum of the fractions and divide it by their product. In this case, the division of the sum of 4/13 and -3/2 by their product is -127/97.

Step-by-step explanation:

To divide the sum of two fractions by their product, we need to find the sum first and then divide it by the product.

First, add the fractions 4/13 and -3/2. To do this, find a common denominator, which in this case is 26. Then, convert the fractions to have the common denominator: 8/26 and -39/26.

Next, add the fractions: 8/26 + (-39/26) = -31/26.

Finally, divide the sum -31/26 by the product 4/13 * -3/2 = 31/26 * 39/26 = -1209/676.

Therefore, the division of the sum of 4/13 and -3/2 by their product is -31/26 ÷ -1209/676 = 1016/780, which can be simplified to -127/97.

Learn more about Division of fractions