1. Let's state the problem: A student spends $\frac{1}{4}$ of his money on a book and $\frac{1}{3}$ on a shirt. We need to find the remainder (the fraction of money left). 2. First, find the total fraction spent by adding the two fractions: $$\frac{1}{4} + \frac{1}{3}$$ 3. To add fractions, find a common denominator. The least common denominator of 4 and 3 is 12. Convert each fraction: $$\frac{1}{4} = \frac{3}{12}$$ $$\frac{1}{3} = \frac{4}{12}$$ 4. Add the fractions: $$\frac{3}{12} + \frac{4}{12} = \frac{7}{12}$$ 5. The student spent $\frac{7}{12}$ of his money. 6. To find the remainder, subtract the spent fraction from the whole (which is 1): $$1 - \frac{7}{12} = \frac{12}{12} - \frac{7}{12} = \frac{5}{12}$$ 7. Therefore, the student has $\frac{5}{12}$ of his money remaining.