Fractional Equations

Example 1: Solve 

Example 2: Solve 

Example 3:  Solve 

Example 4:Solve 

Example 5: Solve 

Example 6: Solve 

Example 7: Solve 

Example 8: The sum of a number and its reciprocal is 10/3. Find the number.

Example 9: The sum of two numbers is 52. If the larger is divided by the smaller, the quotient is 9, and the remainder is 2. Find the numbers.

Example 10: On a certain map 1 ½ inches represents 25 miles. If two cities are 5 ¼ inches apart on the map, find the number of miles between the cities.

Example 11: A sum of $750 is to be divided between two people in the ratio of 2 to 3. How much does each person receive?