Solve for x: 5/x = 2

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Prepare for the 8th Grade FAST Mathematics Test with our Pre-Algebra quiz. Study with multiple choice questions, each with hints and explanations. Build your confidence and ensure you're ready to excel!

Multiple Choice

Solve for x: 5/x = 2

Explanation:
When a fraction equals a number, clear the fraction by removing the denominator. Start with 5/x = 2. Multiply both sides by x to eliminate the x in the denominator: 5 = 2x. Then divide both sides by 2 to solve for x: x = 5/2. This value makes 5/x equal to 2, since 5 divided by (5/2) is 2.5? Wait—check: 5 ÷ (5/2) equals 5 × (2/5) = 2, which matches. So the solution is 5/2. If you plug in other values, they don’t give 2 (for example, x = 2 gives 5/2 = 2.5, x = 5 gives 1, x = -1 gives -5).

When a fraction equals a number, clear the fraction by removing the denominator. Start with 5/x = 2. Multiply both sides by x to eliminate the x in the denominator: 5 = 2x. Then divide both sides by 2 to solve for x: x = 5/2. This value makes 5/x equal to 2, since 5 divided by (5/2) is 2.5? Wait—check: 5 ÷ (5/2) equals 5 × (2/5) = 2, which matches. So the solution is 5/2. If you plug in other values, they don’t give 2 (for example, x = 2 gives 5/2 = 2.5, x = 5 gives 1, x = -1 gives -5).

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