Solve: Combining (5/6)x + (7/8)x + (2/4)x Algebraic Expression

List multiples of each number: 6: 6, 12, 18, 24... 8: 8, 16, 24... 4: 4, 8, 12, 16, 20, 24... The first number that appears in all lists is 24!

When the numerator is larger than the denominator, we convert to a mixed number. $\frac{53}{24}$ becomes $2\frac{5}{24}$ because 53 ÷ 24 = 2 with remainder 5.

Start with the largest denominator and check if it's divisible by the others. If not, multiply the denominators together as a last resort, then simplify later.

It's helpful but not required! You can simplify $\frac{2}{4} = \frac{1}{2}$ first, or work with it as is. Either way leads to the same final answer.

Convert back to improper fraction: $2\frac{5}{24} = \frac{48+5}{24} = \frac{53}{24}$. Then verify: $\frac{20}{24} + \frac{21}{24} + \frac{12}{24} = \frac{53}{24}$ ✓