Solve the proportion x/5 = 2/3.

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Multiple Choice

Solve the proportion x/5 = 2/3.

Explanation:
Balancing two equal fractions to find the missing value. For x/5 = 2/3, cross-multiplying clears the fractions: 3x = 2 × 5, so 3x = 10. Dividing both sides by 3 gives x = 10/3. You can also see it by multiplying both sides by 5: x = (2/3) × 5 = 10/3. Quick check: (10/3)/5 = 10/15 = 2/3, which matches. The other numbers wouldn’t produce 2/3 when substituted, so they don’t fit.

Balancing two equal fractions to find the missing value. For x/5 = 2/3, cross-multiplying clears the fractions: 3x = 2 × 5, so 3x = 10. Dividing both sides by 3 gives x = 10/3. You can also see it by multiplying both sides by 5: x = (2/3) × 5 = 10/3. Quick check: (10/3)/5 = 10/15 = 2/3, which matches. The other numbers wouldn’t produce 2/3 when substituted, so they don’t fit.

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