What is the product of 3 1/8 x 2 1/3?

What is the product of 3 1/8 x 2 1/3?

• A. 65/7
• B. 57/12
• C. 67/24
• D. 77/24

Answer: (D)

To find the product of 3 1/8 and 2 1/3, it's useful to first convert these mixed numbers into improper fractions. Start by converting 3 1/8: - Multiply the whole number (3) by the denominator (8): 3 x 8 = 24. - Add the numerator (1): 24 + 1 = 25. - Thus, 3 1/8 is equal to 25/8. Next, convert 2 1/3: - Multiply the whole number (2) by the denominator (3): 2 x 3 = 6. - Add the numerator (1): 6 + 1 = 7. - So, 2 1/3 is equal to 7/3. Now, multiply the two improper fractions: (25/8) x (7/3) = (25 x 7) / (8 x 3) = 175 / 24. Next, check if this improper fraction can be simplified or converted back to a mixed number: - Compute how many times the denominator (24) fits into the numerator (175). - 175 divided by 24 is 7

To find the product of 3 1/8 and 2 1/3, it's useful to first convert these mixed numbers into improper fractions.

Start by converting 3 1/8:

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

• Add the numerator (1): 24 + 1 = 25.

• Thus, 3 1/8 is equal to 25/8.

Next, convert 2 1/3:

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

• Add the numerator (1): 6 + 1 = 7.

• So, 2 1/3 is equal to 7/3.

Now, multiply the two improper fractions:

(25/8) x (7/3) = (25 x 7) / (8 x 3) = 175 / 24.

Next, check if this improper fraction can be simplified or converted back to a mixed number:

• Compute how many times the denominator (24) fits into the numerator (175).

• 175 divided by 24 is 7