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there are a few ways. let's look at 1/2 or the ratio 1 to 2 ( sometime written as 1:2) and compare it to 2 to 4 which I will write as 2/4 So one way is to multiply the bottom number on the first by the top number on the second. 2x2=4 and do the same with the remaining two numbers, 1x4=4 so they are the same and that means the ratios are the same. They used to call this multiplying the means and the extremes. In general a/b is equivalent to c/d if bc=ad. The other way is to put them both in lowest terms and compare. So 2/4 is 1/2 by dividing the numerator and denominator by 2.

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The ratios are equal if and only if their cross products are equal.

That is a/b = c/d iff ad = bc

Q: How can you determine if ratios are equivalent?

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Compare the simplified ratios, which are 1 : 3.

If the cross-product are equal the ratios are equal. Thus, a/b = c/d if (and only if) ad = bc

Two ratios that are equivalent are said to be in proportion

when a number of ratios give the same answer after solving the ratios the ratios are said to be equivalent ratios

Equivalent ratios are ratios that represent different numbers but the relationship between the numbers is same.

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Compare the simplified ratios, which are 1 : 3.

If the cross-product are equal the ratios are equal. Thus, a/b = c/d if (and only if) ad = bc

equivalent ratios are different ratios that name the same comparison

Equivalent ratios.

They are called equivalent ratios.

Two ratios are the equivalent when their simplified forms are identical.

Two ratios that are equivalent are said to be in proportion

when a number of ratios give the same answer after solving the ratios the ratios are said to be equivalent ratios

Equivalent ratios are ratios that represent different numbers but the relationship between the numbers is same.

Cross-multiply them in pairs. The ratios are the same if and only if the answers are the same. Thus a/b = c/d iff a*d = b*c.

The equivalent ratios of 3 and 4 are 6:8, 9:12, and 15:20.

They are equivalent ratios