Question

Use cross products to demonstrate whether or not the two ratios are equivalent: 4/6 and 14/21
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Answer 1

\[\frac{4}{6}=\frac{14}{21}\]
\[\frac{\frac{4}{6}}{\frac{14}{21}}=\frac{\frac{14}{21}}{\frac{14}{21}}\]
\[\frac{\frac{4}{6}}{\frac{14}{21}}=1\]
\[\frac{\frac{21}{14}\frac{4}{6}}{\frac{21}{14}\frac{14}{21}}=1\]
\[\frac{\frac{21}{14}\frac{4}{6}}{1}=1\]
\[Does~\frac{21}{14}\frac{4}{6}=1~~?\]

Answer 2

or tp convert it into cross priduct form
\[\frac{21}{14}\frac{4}{6}=1\]
\[(14~6)\frac{21}{14}\frac{4}{6}=1(14~6)\]
\[21\times4=14\times6\]