Сравнить 583/516 и 997/738

НОК ( 516 ; 738 ) = 2 × 2 × 3 × 43 × 3 × 41 = 63468 516 = 2 × 2 × 3 × 43 738 = 2 × 3 × 3 × 41 [latex] \frac{583 * 123 }{516 * 123 } = \frac{71709}{63468} [/latex] [latex] \frac{997 * 86}{738 * 86 } = \frac{85742}{63468} [/latex] [latex] \frac{71709}{63468} < \frac{85742}{63468} [/latex] т.е. [latex] \frac{583}{516} < \frac{997}{738} [/latex]