QuestionAugust 25, 2025

Solve each proportion. (x)/(6)=(3)/(8)

Solve each proportion. (x)/(6)=(3)/(8)
Solve each proportion.
(x)/(6)=(3)/(8)

Solution
4.2(279 votes)

Answer

x = \frac{9}{20} Explanation 1. Cross-Multiply Multiply both sides to eliminate the fractions: 5x \cdot 8 = 3 \cdot 6. 2. Simplify Equation Simplify to get: 40x = 18. 3. Solve for x Divide both sides by 40: x = \frac{18}{40}. 4. Simplify Fraction Simplify \frac{18}{40} to \frac{9}{20}.

Explanation

1. Cross-Multiply<br /> Multiply both sides to eliminate the fractions: $5x \cdot 8 = 3 \cdot 6$.<br /><br />2. Simplify Equation<br /> Simplify to get: $40x = 18$.<br /><br />3. Solve for x<br /> Divide both sides by 40: $x = \frac{18}{40}$.<br /><br />4. Simplify Fraction<br /> Simplify $\frac{18}{40}$ to $\frac{9}{20}$.
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