4) 13 1/2 : 1 1/3 + 16 1/2 * 1 5/11 + 19 1/4 : 4/25

Решение:

• 1) 13 \(\frac{1}{2}\) = \(\frac{27}{2}\)
• 2) 1 \(\frac{1}{3}\) = \(\frac{4}{3}\)
• 3) \(\frac{27}{2}\) : \(\frac{4}{3}\) = \(\frac{27}{2}\) \(\times\) \(\frac{3}{4}\) = \(\frac{81}{8}\)
• 4) 16 \(\frac{1}{2}\) = \(\frac{33}{2}\)
• 5) 1 \(\frac{5}{11}\) = \(\frac{16}{11}\)
• 6) \(\frac{33}{2}\) \(\times\) \(\frac{16}{11}\) = \(\frac{33 \times 16}{2 \times 11}\) = 3 \(\times\) 8 = 24
• 7) 19 \(\frac{1}{4}\) = \(\frac{77}{4}\)
• 8) \(\frac{77}{4}\) : \(\frac{4}{25}\) = \(\frac{77}{4}\) \(\times\) \(\frac{25}{4}\) = \(\frac{1925}{16}\)
• 9) \(\frac{81}{8}\) + 24 = \(\frac{81 + 192}{8}\) = \(\frac{273}{8}\)
• 10) \(\frac{273}{8}\) + \(\frac{1925}{16}\) = \(\frac{546 + 1925}{16}\) = \(\frac{2471}{16}\)

Ответ: \(\frac{2471}{16}\)