Are the ratios 4:7 and 1:2 equivalent? (A) yes (B) no

Simplest Form of 4:7: What is the simplest form of 4:7? The ratio 4:7 is already in its simplest form because 4 and 7 have no common factors other than 1.Simplest Form of 1:2: What is the simplest form of the ratio 1:2? The ratio 1:2 is also in its simplest form because 1 and 2 have no common factors other than 1.Comparison of Two Ratios: Compare the simplest forms of the two ratios. The simplest form of the first ratio is 4:7, and the simplest form of the second ratio is 1:2. Since these two forms are not the same and cannot be made equivalent by multiplying or dividing both terms of one ratio by the same number, the ratios 4:7 and 1:2 are not equivalent.

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Are the ratios 4:7 and 1:2 equivalent?
(A) yes
(B) no

Are the ratios $4: 7$ and $1: 2$ equivalent? $\newline$ (A) yes $\newline$ (B) no

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Math Problems

Grade 7

Identify equivalent ratios

Full solution

Q. Are the ratios

4: 7

and

1: 2

equivalent?

\newline

(A) yes

\newline

(B) no

Simplest Form of $4:7$ : What is the simplest form of $4:7$ ? $\newline$ The ratio $4:7$ is already in its simplest form because $4$ and $7$ have no common factors other than $1$ .
Simplest Form of $1$ : $2$ : What is the simplest form of the ratio $1:2$ ? $\newline$ The ratio $1:2$ is also in its simplest form because $1$ and $2$ have no common factors other than $1$ .
Comparison of Two Ratios: Compare the simplest forms of the two ratios. $\newline$ The simplest form of the first ratio is $4:7$ , and the simplest form of the second ratio is $1:2$ . Since these two forms are not the same and cannot be made equivalent by multiplying or dividing both terms of one ratio by the same number, the ratios $4:7$ and $1:2$ are not equivalent.