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Do these ratios form a proportion? $\newline$ $7$ medium folders to $3$ small folders $\newline$ $9$ medium folders to $2$ small folders $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Do the ratios form a proportion: word problems

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Q. Do these ratios form a proportion?

\newline

7

medium folders to

3

small folders

\newline

9

medium folders to

2

small folders

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Write Ratio in Fraction Form: Step $1$ : Write the ratio of $7$ medium folders to $3$ small folders in fraction form. $\newline$ $7$ medium folders / $3$ small folders = $\frac{7}{3}$ $\newline$ Fraction form of the first ratio: $\frac{7}{3}$
Compare Ratios: Step $2$ : Write the ratio of $9$ medium folders to $2$ small folders in fraction form. $\newline$ $9$ medium folders / $2$ small folders = rac{9}{2} $\newline$ Fraction form of the second ratio: rac{9}{2}
Determine Proportion: Step $3$ : Compare the two fractions to see if they form a proportion by finding a common multiple or by cross-multiplying. $\newline$ Cross multiply: $\newline$ $\frac{7}{3}$ and $\frac{9}{2}$ $\newline$ $7 \times 2 = 14$ $\newline$ $9 \times 3 = 27$ $\newline$ Since $14$ is not equal to $27$ , the ratios do not form a proportion.

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