# How do you determine whether the ratios are equivalent: \frac{3}{4}

How do you determine whether the ratios are equivalent: ?
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Ethen Welch
$\frac{3}{4}:\frac{6}{7}::7:8$
Solution:
$\frac{3}{4}:\frac{6}{7}$
$⇔\frac{3×7}{4×7}:\frac{6×4}{7×4}$
or $\frac{21}{28}:\frac{24}{28}$
or $21:24$
or $\left(3×7\right):\left(3×8\right)$
or $7:8$.