# Homework 6

On sections 2.3, 2.4, and 2.5. Due Wednesday, October 10.

§2.3. B15, B17, B34, B35, B44, B45, B46, B47
§2.4. B13, B29, B30, B31, B32
§2.5. B6, B15, B16, B17, B18, B25, B26

1. Rory Best
Posted October 9, 2012 at 7:02 pm | Permalink

on 2.5 #15, (i/j+k/m)/jm and you still have to add two rationals to prove adding two rationals?

• Samuel Coskey
Posted October 9, 2012 at 7:15 pm | Permalink

You have the right idea. (I think I need to correct your equation slightly).

$\frac{i}{j}+\frac{k}{m}=\frac{im+jk}{jm}$

This proves that the sum of two rational numbers is again rational (because the right side is also the ratio of two integers, and its denominator is again nonzero). That’s all you need to say!