Adding Fractions Math Example 2

Solution

1. 1
   Find the LCD of $3, 8, 4$: multiples of $8$: $8, 16, 24, \ldots$; $3 \times 8 = 24$ and $3$ divides $24$ and $4$ divides $24$. $\text{LCD} = 24$.
2. 2
   Convert each fraction: $\frac{2}{3} = \frac{16}{24}$, $\frac{3}{8} = \frac{9}{24}$, $\frac{1}{4} = \frac{6}{24}$.
3. 3
   Add: $\frac{16 + 9 + 6}{24} = \frac{31}{24}$.
4. 4
   Convert: $\frac{31}{24} = 1\frac{7}{24}$.