Question

Which statement is correct about the product of 4 2/3 and 7/8?

1) The product of 4 2/3 and 7/8 is greater than 4 2/3.
2) The product of 4 2/3 and 7/8 is less than 4 2/3.
3) The product of 4 2/3 and 7/8 is greater than 1.
4) The product of 4 2/3 and 7/8 is less than 1.

Answer 1

The product of 4 2/3 and 7/8 is greater than 4 2/3.

Step-by-step explanation:

The product of 4 2/3 and 7/8 is greater than 4 2/3. To find the product, first convert the mixed number 4 2/3 into an improper fraction. This can be done by multiplying the whole number (4) by the denominator (3) and adding the numerator (2). So, 4 2/3 becomes 14/3. Then, multiply 14/3 by 7/8. To multiply fractions, multiply the numerators (14 * 7) to get 98 and multiply the denominators (3 * 8) to get 24. So, the product of 4 2/3 and 7/8 is 98/24. Simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 2. 98/24 simplifies to 49/12. Since 49/12 is greater than 4 2/3, the correct statement is option 1) The product of 4 2/3 and 7/8 is greater than 4 2/3.