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Do the ratios $\frac{1}{2}$ and $\frac{10}{20}$ form a proportion? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Do the ratios form a proportion?

Full solution

Q. Do the ratios

\frac{1}{2}

and

\frac{10}{20}

form a proportion?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Simplify Ratio: Simplify the second ratio $\frac{10}{20}$ to its lowest terms. $\newline$ Calculation: $10 \div 10 = 1$ and $20 \div 10 = 2$ , so $\frac{10}{20}$ simplifies to $\frac{1}{2}$ .
Compare Simplified Forms: Compare the simplified form of $\frac{10}{20}$ with $\frac{1}{2}$ . $\newline$ Calculation: Since $\frac{1}{2}$ equals $\frac{1}{2}$ , the two ratios are equivalent.
Determine Proportion: Determine if the equivalent ratios form a proportion. Since both ratios are the same when simplified, they form a proportion.

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