**Homework** **10**

Write a program that reads in two fractions from the user and prints out the sum of the two numbers in lowest terms. Recall (from grade school!) that

`n1 n2 n1 d2 + n2 d1`

`-- + -- = -------------`

`d1 d2 d1 d2`

and that to reduce a fraction to lowest terms you divide the numerator *n*
and the denominator *d* by the greatest common divisor of *n* and
*d*. Of course, in the lecture notes we discuss greatest common divisor!
A run of your program should look something like this:

Enter a fraction addition problem: 15/28 + 7/32 `15/28 + 7/32 = 169/224` |

**Turn In** a printout of your code, along with a screen capture of your
program running on input `15/28 + 7/32`

.