2 3/5 x 3/4 = ?

Master the NLN PAX Mathematics 1 Exam with our comprehensive study guide and quizzes. Test your knowledge with multiple choice questions tailored for the PAX Math exam, featuring detailed explanations and tips to enhance your preparation and increase your chances of success.

Multiple Choice

2 3/5 x 3/4 = ?

Explanation:
Multiplying a mixed number by a fraction works best by turning the mixed number into an improper fraction, then multiplying and, if desired, converting back to a mixed number. Convert 2 3/5 to an improper fraction: 13/5. Multiply by 3/4: (13/5) × (3/4) = 39/20. This improper fraction can be written as a mixed number: 39/20 = 1 with a remainder of 19, so 1 19/20. That equals 1.95 in decimal, which aligns with the expected product. So the result is 1 19/20.

Multiplying a mixed number by a fraction works best by turning the mixed number into an improper fraction, then multiplying and, if desired, converting back to a mixed number.

Convert 2 3/5 to an improper fraction: 13/5. Multiply by 3/4: (13/5) × (3/4) = 39/20. This improper fraction can be written as a mixed number: 39/20 = 1 with a remainder of 19, so 1 19/20. That equals 1.95 in decimal, which aligns with the expected product.

So the result is 1 19/20.

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