Final answer:
To find the least common multiple (LCM) of 1/4 and 2/3, first convert the fractions to have the same denominator. Then, add the fractions together to get the total amount. The LCM of 1/4 and 2/3 is 11/12 cup.
Step-by-step explanation:
To find the least common multiple (LCM) of 1/4 and 2/3, we need to find the smallest number that both fractions divide evenly into. First, convert 1/4 and 2/3 into fractions with the same denominator, which is the least common multiple. The LCM of 4 and 3 is 12. So, 1/4 is equal to 3/12 and 2/3 is equal to 8/12.
Now that we have fractions with the same denominator, we can add them together to find the total amount. 3/12 + 8/12 = 11/12. Therefore, the least common multiple that Sara should use to find the total amount of chocolate chips and pecans is 11/12 cup.