Adding Fractions Math Example 4

Solution

1. 1
   Find the total fractional amount: $\frac{5}{8} + \frac{3}{4} + \frac{1}{3}$. LCD of $8, 4, 3$ is $24$.
2. 2
   Convert: $\frac{5}{8} = \frac{15}{24}$, $\frac{3}{4} = \frac{18}{24}$, $\frac{1}{3} = \frac{8}{24}$.
3. 3
   Add fractions: $\frac{15 + 18 + 8}{24} = \frac{41}{24} = 1\frac{17}{24}$.
4. 4
   Total water in litres: $\frac{41}{24} \times 120 = \frac{41 \times 120}{24} = \frac{4920}{24} = 205$ litres.