Чтобы определить, какая из дробей 1/2, 7/15, 7/13, 3/7, 5/8 является самой маленькой, мы можем сравнить их, приведя к общему знаменателю или преобразовав дроби в десятичные числа. Я объясню оба метода.

Для начала найдем общий знаменатель для всех дробей. Знаменатели этих дробей: 2, 15, 13, 7 и 8. Мы найдем наименьшее общее кратное (НОК) этих чисел.

• 2 = 2
• 15 = 3 × 5
• 13 = 13
• 7 = 7
• 8 = 2^3

Теперь найдем НОК:

• 2^3 (от 8)
• 3 (от 15)
• 5 (от 15)
• 7 (от 7)
• 13 (от 13)

Таким образом, НОК = 2^3 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 = 8, 3 = 3, 5 = 5, 7 = 7, 13 = 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2^3 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 = 8, 3 = 3, 5 = 5, 7 = 7, 13 = 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7 × 13 = 2 × 2 × 2 × 3 × 5 × 7