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

April 8, 2026Mathematics

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

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April 8, 2026

Answer

\frac{6}{7}$. Give your answer as a common fraction.

Here is the solution to the problem:

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

Step 1: Cross-multiply the fractions. $2 \times 7 = 6 \times x$ $14 = 6x$

Step 2: Isolate $x$ by dividing both sides by 6. $\frac{14}{6} = x$

Step 3: 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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Asked on April 8, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 8, 2026

Here is the solution to the problem: Solve for x. (2)/(x) = (6)/(7). Give your answer as a common fraction. Step 1: Cross-multiply the fractions. 2 × 7 = 6 × x 14 = 6x Step 2: Isolate x by dividing both sides by 6. (14)/(6) = x Step 3: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2. x = (14 ÷ 2)/(6 ÷ 2) x = (7)/(3) The value of x is (7)/(3).