Compute 3/4 ÷ 5/6.

Sharpen your skills for the Praxis Middle School Mathematics Test. Prepare with a variety of questions, hints, and explanations. Get ready to ace your exam!

Multiple Choice

Compute 3/4 ÷ 5/6.

Explanation:
When you divide by a fraction, multiply by its reciprocal. So 3/4 ÷ 5/6 becomes 3/4 × 6/5. Multiply across: 3×6 = 18 and 4×5 = 20, giving 18/20, which simplifies to 9/10. You can also see this by canceling first: 6 and 4 share a factor of 2, turning it into (3/2) × (3/5) = 9/10. The result is 9/10.

When you divide by a fraction, multiply by its reciprocal. So 3/4 ÷ 5/6 becomes 3/4 × 6/5. Multiply across: 3×6 = 18 and 4×5 = 20, giving 18/20, which simplifies to 9/10. You can also see this by canceling first: 6 and 4 share a factor of 2, turning it into (3/2) × (3/5) = 9/10. The result is 9/10.

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