# Ratio Solving Problems

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Equivalent ratios have different numbers but represent the same relationship.

In this tutorial, you'll see how to find equivalent ratios by first writing the given ratio as a fraction. Numerators and denominators are the key ingredients that make fractions, so if you want to work with fractions, you have to know what numerators and denominators are.

Lucky for you, this tutorial will teach you some great tricks for remembering what numerators and denominators are all about.

Finding equivalent fractions is an important part of things like adding, subtracting, and comparing fractions. In this tutorial, you'll learn that equivalent fractions are just fractions that have the same value, even though they may look very different!

The exercise set will probably start out by asking for the solutions to straightforward simple proportions, but they might use the "odds" notation, something like this: Okay; this proportion has more variables than I've seen previously, and they're in expressions, rather than standing by themselves. First, I convert the colon-based odds-notation ratios to fractional form: First, I'll need to convert the "two feet four inches" into a feet-only measurement.

Since one foot contains twelve inches, then four inches is four-twelfths, or one-third, of a foot.

By the way, since I'm looking for a weight, I'm going to use Since this is a "real world" word problem, I should probably round or decimalize my exact fractional solution to get a practical "real world" sort of number.

To be on the safe side, though, I'll give both the "exact" (fractional) form and also the rounded (more real-world) form: If this question were being asked in the homework for the section on "percent of" word problems, then I would have the tax rate as a percentage from the info they gave me for the first property; and then I would have back-solved, using the rate I'd just found, for the value of the second property.

Also, be sure to go back and re-check the word problem for what it actually wants.

This exercise did not ask me to find "the value of a variable" or "the length of the shorter piece".

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