(19/8+11/12):5/48

To solve this expression, we first need to convert the mixed numbers to improper fractions: \( \frac{19}{8} = \frac{19 \times 3}{8 \times 3} = \frac{57}{24} \) \( \frac{11}{12} \) Now rewrite the expression with the improper fractions: \( \frac{57}{24} + \frac{11}{12} = \frac{57}{24} + \frac{11 \times 2}{12 \times 2} = \frac{57}{24} + \frac{22}{24} = \frac{57 + 22}{24} = \frac{79}{24} \) Now divide by \( \frac{5}{48} \): Dividing by a fraction is the same as multiplying by its reciprocal: \( \frac{79}{24} \div \frac{5}{48} = \frac{79}{24} \times \frac{48}{5} = \frac{79 \times 48}{24 \times 5} = \frac{3792}{120} \) So, \( \frac{19}{8} + \frac{11}{12} \div \frac{5}{48} = \frac{3792}{120} \)