We use ratios to make comparisons in between two things. When we express ratios in words, we use words "to"--we speak "the proportion of something come something else." Ratios deserve to be composed in several different ways: together a fraction, using the word "to", or with a colon.

Let"s usage this illustration of forms to learn much more about ratios. How deserve to we compose the proportion of squares to circles, or 3 to 6? The many common means to compose a proportion is together a fraction, 3/6. We could also write that using the word "to," as "3 come 6." Finally, we could write this proportion using a colon in between the two numbers, 3:6. Be sure you recognize that these room all methods to create the exact same number.

Which means you pick will depend on the difficulty or the situation.


ratio of squares to circles is 3/6 ratio of squares to circles is 3 come 6 proportion of squares to one is 3:6

There room still other means to make the same comparison, by using equal ratios. To find an same ratio, you have the right to either multiply or division each term in the proportion by the same number (but no zero). Because that example, if we divide both terms in the ratio 3:6 by the number three, climate we obtain the equal ratio, 1:2. Carry out you see that these ratios both stand for the very same comparison? Some various other equal ratios are detailed below. To uncover out if two ratios are equal, you can divide the an initial number by the second for every ratio. If the quotients room equal, climate the ratios room equal. Is the ratio 3:12 equal to the ratio 36:72? divide both, and you find that the quotients room not equal. Therefore, these two ratios room not equal.

Some other equal ratios: 3:6 = 12:24 = 6:12 = 15:30

Are 3:12 and 36:72 equal ratios?

Find 3÷12 = 0.25 and also 36÷72 = 0.5

The quotients room not equal —> the ratios room not equal.

You can additionally use decimals and percents come compare two quantities. In our example of squares to circles, we might say the the variety of squares is "five-tenths" the the variety of circles, or 50%.

Here is a chart mirroring the variety of goals do by 5 basketball football player from the free-throw line, out of 100 shots taken. Each comparison of objectives made to shots take away is expressed together a ratio, a decimal, and a percent.

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They space all equivalent, which way they are all different ways of speak the very same thing. Which carry out you like to use?

Homework aid | Pre-Algebra | Ratios and Proportions
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