Ниже приведен пример задачи на английском языке с решением и
переводом на русский язык.
Problem: Compare the fractions: 7/13 and 7/12.
Solution: Let's find the least common multiple or, in other
words, multiply the first fraction by 12, and the second fraction by
13.
So we have 7/13 = (7*12)/(12*13) = 84/156 and
7/12 = (7*13)/(12*13) = 91/156.
Now it is obvious that the numerator of the first fraction, 91, is
greater than 84 - the numerator of the second fraction, while both
fractions have the same denominator - 156.
Thus 7/13 < 7/12.
Answer: 7/13 < 7/12.
Задача: Сравните дроби: 7/13 and 7/12.
Решение: Найдем наименьшее общее кратное или, другими слова
ми, умножим первую дробь на 12, а вторую дробь на 13.