Diana was dividing up her calories for the day. She wanted to eat \( \frac{1}{4} \) of her calories for breakfast and the same fraction for dinner. She wanted to eat \( \frac{1}{3} \) of her calories for lunch. The rest was allocated for snacks. What fraction of her calories are left for snacks?

Diana is dividing her calories in a fun and interesting way! For breakfast and dinner combined, she will consume \( \frac{1}{4} + \frac{1}{4} = \frac{2}{4} \) or \( \frac{1}{2} \) of her calories. At lunch, she is eating \( \frac{1}{3} \) of her total calories. To find out how much she will consume in total, we need a common denominator, which is 12. So, \( \frac{1}{2} \) becomes \( \frac{6}{12} \) and \( \frac{1}{3} \) becomes \( \frac{4}{12} \). Adding these gives \( \frac{6}{12} + \frac{4}{12} = \frac{10}{12} \) or simplified to \( \frac{5}{6} \). Now, to find out the fraction left for snacks, we subtract \( \frac{5}{6} \) from 1 (the whole): \( 1 - \frac{5}{6} = \frac{1}{6} \). So, Diana has \( \frac{1}{6} \) of her calories left for snacks! Now, that’s a balanced approach to meals! Just imagine how delicious those snacks will be with a fraction so well-planned.