8) choose the lcd and the gcf for the following equation. when the fraction is in its simplest form, select…

8) choose the lcd and the gcf for the following equation. when the fraction is in its simplest form, select gcf = 1.\n\n$\frac{10}{16}-left(-\frac{1}{2}\right)$\n\nlcd =\n\ngcf =

8) choose the lcd and the gcf for the following equation. when the fraction is in its simplest form, select gcf = 1.\n\n$\frac{10}{16}-left(-\frac{1}{2}\right)$\n\nlcd =\n\ngcf =

Answer

Explanation:

Step1: Find the LCD

The denominators are 16 and 2. Prime - factorize: 16 = 2×2×2×2 and 2 = 2. The least - common multiple of 16 and 2 is 16, so the LCD is 16.

Step2: Find the GCF

First, simplify the fraction $\frac{10}{16}=\frac{5}{8}$. The factors of 5 are 1 and 5, and the factors of 8 are 1, 2, 4, and 8. The greatest common factor of 5 and 8 is 1.

Answer:

LCD = 16 GCF = 1