Question

Landon said 2/3 × 1/6 = 5/. Tell how Landon got his product and then explain how to find the correct product.

A) Landon's product is incorrect; multiply numerators and denominators to get the correct answer
B) Landon's product is correct; multiply numerators and denominators to get the same result
C) Landon's product is incorrect; multiply numerators and denominators, then simplify to get the correct answer
D) Landon's product is correct; add numerators and denominators to get the correct answer

Answer 1

Landon incorrectly calculated the product of 2/3 and 1/6; the correct product is calculated by multiplying the numerators and denominators separately and then simplifying the result to get 1/9.

Step-by-step explanation:

Landon's product of 2/3 × 1/6 which resulted in 5/ is incorrect. To find the correct product when multipling fractions, one should multiply the numerators together and multiply the denominators together. The correct process would be 2 × 1 = 2 for the numerators, and 3 × 6 = 18 for the denominators, giving the fraction 2/18. This fraction can then be simplified by dividing both the numerator and the denominator by their greatest common factor, which is 2 in this case. Therefore, the simplified answer is 1/9.