Question

1. choose the lcd and the gcf for the equation below. when the fraction is in its simplest form, select gcf = 1. -8\frac{1}{3}-(-2\frac{1}{6}) lcd = gcf =

Explanation:

Step1: Find the LCD of 3 and 6

The multiples of 3 are 3, 6, 9, etc. The multiples of 6 are 6, 12, etc. The least - common multiple of 3 and 6 is 6. So the LCD of the fractions $\frac{1}{3}$ and $\frac{1}{6}$ is 6.

Step2: Consider the GCF

The fraction $\frac{1}{3}$ and $\frac{1}{6}$ in the context of the mixed - numbers. Since we are told to select GCF = 1 when the fraction is in its simplest form, and the fractions $\frac{1}{3}$ and $\frac{1}{6}$ are in simplest form relative to each other in the context of this problem, the GCF of the non - whole number parts (when considering the operation) is 1.

Answer:

LCD = 6
GCF = 1