*If you're seeing this message, it means we're having trouble loading external resources on our website. And the best way that I can think of comparing them is look at a point where you're getting an equivalent fraction.*If you're behind a web filter, please make sure that the domains *.and *.are unblocked. 24-- when the numerator is 24, the denominator is 40. But then they want us to write equivalent ratios where we have to fill in different blanks over here-- here in the denominator and here in the numerator. And either the numerators are going to be the same, or the denominators are going to be the same. Here, it's just incrementing by 1, but the ratios are not the same. So we're not going to be able to-- this right over here is not a legitimate table. Then when you double the distance, we double the time.This exercise did not ask me to find "the value of a variable" or "the length of the shorter piece".

Then click the button and select "Convert to a Simplified Fraction" to compare your answer to Mathway's.

John has 30 marbles, 18 of which are red and 12 of which are blue.

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

So the length, converted to feet only, is: I will set up my ratios with the length values on top (because I happened to pick that ordering, probably because the length info came before the weight info in the exercise).

Solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation.

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.

The language "the ratio of (this) to (that)" means that (this) comes before (that) in the comparison.

So, if one were to express "the ratio of men to women", then the ratio, in English words, would be " The order of the items in a ratio is very important, and must be respected; whichever word came first in the ratio (when expressed in words), its number must come first in the ratio.

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.

However, since this question is being asked in the section on proportions, I'll solve using a proportion.

## Comments Problem Solving Ratio

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