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Two ratios, a/b and c/d have the same value is a*d = b*c. A ratio, a/b, is said to be simplified if a and b are co-prime.

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โˆ™ 2018-05-02 10:19:37
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: What are Ratios that have the same value and simplified ratio?
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What is the ratio of 51 and 36?

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.

What is the difference between an unsimplified fraction and a simplified fraction?

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.

Is the ratio of 3 to 4 and 4 to 3 the same?

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!

Expressions that have the same value?

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

What is ratio and proportion?

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."

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