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Solve for x. (2)/(x) = (6)/(7). Give your answer as a common fraction.

April 8, 2026Mathematics

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Here is the solution to the problem:

Solve for x. $\frac{2}{x} = \frac{6}{7}$ . Give your answer as a common fraction.

Cross-multiply the fractions.
$2 \times 7 = 6 \times x$ $14 = 6x$
Isolate $x$ by dividing both sides by 6.
$\frac{14}{6} = x$
Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2.
$x = \frac{14 \div 2}{6 \div 2}$ $x = \frac{7}{3}$
The value of $x$ is $\boxed*{\frac{7}{3}*}$ .

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