What is the product of the mixed numbers 4 2/3 x 8 4/7 x 1 2/7 in lowest terms?

What is the product of the mixed numbers 4 2/3 x 8 4/7 x 1 2/7 in lowest terms?

• A. 51 3/7
• B. 52 3/7
• C. 50 3/7
• D. 49 3/7

Answer: (A)

To determine the product of the mixed numbers 4 2/3, 8 4/7, and 1 2/7 in lowest terms, it is important to first convert each mixed number into an improper fraction, which simplifies multiplication. For 4 2/3, the conversion is calculated as follows: 4 (whole number) multiplied by 3 (denominator) plus 2 (numerator) results in \( (4 \times 3 + 2) = 12 + 2 = 14 \). Therefore, 4 2/3 is \( \frac{14}{3} \). Next, for 8 4/7: 8 multiplied by 7 plus 4 gives \( 8 \times 7 + 4 = 56 + 4 = 60 \). Thus, 8 4/7 is \( \frac{60}{7} \). Lastly, for 1 2/7: 1 multiplied by 7 plus 2 results in \( 1 \times 7 + 2 = 7 + 2 = 9 \). Therefore, 1 2/7 can be represented as \( \frac{9}{7} \

To determine the product of the mixed numbers 4 2/3, 8 4/7, and 1 2/7 in lowest terms, it is important to first convert each mixed number into an improper fraction, which simplifies multiplication.

For 4 2/3, the conversion is calculated as follows:

4 (whole number) multiplied by 3 (denominator) plus 2 (numerator) results in ( (4 \times 3 + 2) = 12 + 2 = 14 ). Therefore, 4 2/3 is ( \frac{14}{3} ).

Next, for 8 4/7:

8 multiplied by 7 plus 4 gives ( 8 \times 7 + 4 = 56 + 4 = 60 ). Thus, 8 4/7 is ( \frac{60}{7} ).

Lastly, for 1 2/7:

1 multiplied by 7 plus 2 results in ( 1 \times 7 + 2 = 7 + 2 = 9 ). Therefore, 1 2/7 can be represented as ( \frac{9}{7} \