Section 4.1: Ratio and Proportion
Homework Hints

Problems 1-2
There are many problems throughout the text labeled IN YOUR OWN WORDS. Just relax. Do not be afraid to give your opinion. For the most part, these questions do not have "right" or "wrong" answers. You should spend about five minutes answering each of these questions.

Problems 3-13
See Example 1. Since a ratio is a quotient of two numbers it can be written as a fraction. We also know that fractions can be reduced and some fractions are reduced to be whole numbers. For example, when working with fractions

but when considering these as ratios, we say

That is, the ratio of 4 to 6 reduces to the ratio of 2 to 3, but the ratio of 4 to 2 reduces to the ratio of 2 to 1. Be sure you also use two numbers when stating ratios.

Problems 14-21
See Example 2.

Problems 22-37
See Example 3.

Problems 38-47
Translate each of these statements into fractional form; for example, Problem 38a, first form the ratio 60 to 3 and then write it as a fraction 60/3. Reduce the fraction to 20/1 (not 20). Then state the result as a ratio, namely 20 to 1.

Problems 48-53
Read carefully the example in the directions. Be sure to state your answer as a ratio.

Note: Homework Hints are given only for the levels 1 and 2 problems. You can also check some sources for homework help on the Internet (see Links, below), or you can call the author at (707) 829-0606 or send an e-mail to: smithkjs@mathnature.com