Ответ:
а) \(\operatorname{НОД}(90,150)=30\): \(\frac{90}{150}=\frac{90:30}{150:30}=\frac{3}{5}\).
б) \(\operatorname{НОД}(63,105)=21\): \(\frac{63}{105}=\frac{63:21}{105:21}=\frac{3}{5}\).
Ответ: а) \(\frac{3}{5}\); б) \(\frac{3}{5}\).
а) \(\operatorname{НОД}(90,150)=30\): \(\frac{90}{150}=\frac{90:30}{150:30}=\frac{3}{5}\).
б) \(\operatorname{НОД}(63,105)=21\): \(\frac{63}{105}=\frac{63:21}{105:21}=\frac{3}{5}\).
Ответ: а) \(\frac{3}{5}\); б) \(\frac{3}{5}\).