What is the product of 3 3/8 and 2 2/3?

Prepare for the Apprentice Aptitude Battery Test with engaging flashcards and comprehensive multiple-choice questions. Each question is designed with hints and detailed explanations to optimize your study session. Ace your upcoming ALBAT exam with confidence!

Multiple Choice

What is the product of 3 3/8 and 2 2/3?

To find the product of 3 3/8 and 2 2/3, we first need to convert these mixed numbers into improper fractions. For 3 3/8: - Multiply the whole number (3) by the denominator (8): 3 × 8 = 24. - Add the numerator (3): 24 + 3 = 27. - The improper fraction is 27/8. For 2 2/3: - Multiply the whole number (2) by the denominator (3): 2 × 3 = 6. - Add the numerator (2): 6 + 2 = 8. - The improper fraction is 8/3. Now, we multiply the two improper fractions together: (27/8) × (8/3). In multiplication of fractions, we multiply the numerators and the denominators: Numerators: 27 × 8 = 216. Denominators: 8 × 3 = 24. So, we have: 216/24. To simplify this fraction, we can divide the numerator and the denominator by their greatest common divisor (which is 24): 216 ÷ 24 = 9. 24

To find the product of 3 3/8 and 2 2/3, we first need to convert these mixed numbers into improper fractions.

For 3 3/8:

  • Multiply the whole number (3) by the denominator (8): 3 × 8 = 24.

  • Add the numerator (3): 24 + 3 = 27.

  • The improper fraction is 27/8.

For 2 2/3:

  • Multiply the whole number (2) by the denominator (3): 2 × 3 = 6.

  • Add the numerator (2): 6 + 2 = 8.

  • The improper fraction is 8/3.

Now, we multiply the two improper fractions together:

(27/8) × (8/3).

In multiplication of fractions, we multiply the numerators and the denominators:

Numerators: 27 × 8 = 216.

Denominators: 8 × 3 = 24.

So, we have:

216/24.

To simplify this fraction, we can divide the numerator and the denominator by their greatest common divisor (which is 24):

216 ÷ 24 = 9.

24

More practice questions