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Q: What are Ratios that have the same value and simplified ratio?

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You can write this as 51:36.Note: You can simplify ratios the same way you simplify fractions; that is, if you find a number that is a factor of BOTH numbers, you can divide both numbers by that factor, to get an equivalent ratio.

There's no mathematical difference between them; they're the same value. They express the same ratio. In a simplified fraction, the GCF of the numerator and the denominator is 1. In an unsimplified fraction, that GCF is greater than one.

No. Picture them as fractions. Is 3/4 the same as 4/3? No it isn't, and the ratios are the same way! No. Picture them as fractions. Is 3/4 the same as 4/3? No it isn't, and the ratios are the same way!

If both equations can be simplified to the same value, they are equal.

A ratio, similar to a proportion, is the value of one number or measurement in relation to another, and is often symbolized as x:y, x/y, or "x to y." Conceptually, ratios can be thought of as fractions and are often simplified the same way. For instance, if a cocktail recipe calls for 2 oz. of liquor for every 4 oz. of juice, the ratio of liquor to juice is 2:4, 2/4, or "2 to 4." However, 2:4 will almost always be simplified, in a similar way that fractions are, and written as 1:2. The main difference between the simplification methods of ratios vs. fractions is that for fractions, a value such as 10/6 will often be reduced to 1 2/3, whereas ratios will never pull an integer out of a fraction like that. In this particular case, the ratio would be 5:3, 5/3, or "5 to 3," not 1 2/3:3. The subtle, but meaningful difference in the usage of the terms proportion and ratio is that proportions often imply the combined totality of the two values or measurements you're relating as opposed to ratios, which are used to describe the values' relative independence. For example, you would say, "equal proportions," "directly proportional," and "inversely proportional," but you wouldn't say, "equal ratios," "directly rational," or "inversely rational."

Related questions

If two ratios have the same value when simplified.

Equivalent ratios are ratios which have the same value when simplified. For example: The two ratios 8 : 24 and 4 : 12 are equivalent, because when simplified they are both 1 : 3 Hope this helps! :)

Equivaltent Ratios

Equivalent Ratios

equivalent ratio

They are equivalent ratios.

Equivalent ratios.

ratio 8:3 same as 24:9

When they are equivalent ratios.

Equivalent Ratios

A proportion.

The simplified forms of the two ratios are the same.The cross products are the same: a/b = c/d if ad = bc

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