Вопрос:

14. \(\frac{7}{12}\) qismi 10,5 ga teng bo'lgan sonni toping.

Ответ:

Sonning \( \frac{m}{n} \) qismi \( a \) ga teng bo'lsa, u holda sonni quyidagicha topish mumkin: \( x = a \div \frac{m}{n} = a \times \frac{n}{m} \).

Masalada berilgan:

  • \( \frac{m}{n} = \frac{7}{12} \)
  • \( a = 10.5 \)

Sonni topamiz:

\( x = 10.5 \div \frac{7}{12} = 10.5 \times \frac{12}{7} \)

Avval \( 10.5 \) ni kasrga aylantiramiz: \( 10.5 = \frac{105}{10} = \frac{21}{2} \).

Endi hisoblaymiz:

\( x = \frac{21}{2} \times \frac{12}{7} = \frac{21 \times 12}{2 \times 7} = \frac{3 \times 7 \times 2 \times 6}{2 \times 7} = 3 \times 6 = 18 \)

Ответ: 18

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