37. \frac{15}{44} - \frac{4}{21} \cdot 37. \frac{37}{44} =

$$37 \frac{15}{44} - \frac{4}{21} \cdot 37. \frac{37}{44} =$$

$$37 \frac{15}{44} - 37 \frac{4 \cdot 37}{21 \cdot 44} =$$

$$37 \frac{15}{44} - 37 \frac{148}{924} =$$

$$37 \frac{15}{44} - 37 \frac{37}{231} =$$

Целые части: $$37 - 37 = 0$$

Дробные части: $$\frac{15}{44} - \frac{37}{231} = \frac{15 \cdot 231 - 37 \cdot 44}{44 \cdot 231} = \frac{3465 - 1628}{10164} = \frac{1837}{10164}$$

Ответ: $$\frac{1837}{10164}$$