4. Найдите значение выражения \(\left(\frac{15}{14}-\frac{12}{25}\right):\frac{23}{35}\)

4. Найдем значение выражения поэтапно:

1. \(\frac{15}{14}-\frac{12}{25}\) = \(\frac{15 \cdot 25}{14 \cdot 25}-\frac{12 \cdot 14}{25 \cdot 14}\) = \(\frac{375}{350}-\frac{168}{350}\) = \(\frac{375-168}{350}\) = \(\frac{207}{350}\)
2. \(\frac{207}{350}:\frac{23}{35}\) = \(\frac{207}{350} \cdot \frac{35}{23}\) = \(\frac{207 \cdot 35}{350 \cdot 23}\) = \(\frac{207 \cdot 35}{35 \cdot 10 \cdot 23}\) = \(\frac{207}{10 \cdot 23}\) = \(\frac{9 \cdot 23}{10 \cdot 23}\) = \(\frac{9}{10}\) = 0,9

Ответ: 0,9