Question

Помогите пожалуйста срочно надо Дайте словесное описание алгоритма сложения двух обыкновенных дробей a/b и c/d Если есть то решения даю 20 баллов

Answer 1

1. Перемножаем знаменатели b и d, ставим его в знаменатель результата.
2. Умножаем a на d и c на b.
3. Полученные произведения складываем, сумма будет числителем результата.
4. Находим наибольший общий делитель числителя и знаменателя.
5. Делим на него числитель и знаменатель, сокращая тем самым дробь.

Answer 2

Algorithm for Adding Two Fractions

To add two ordinary fractions, a/b and c/d, you can follow these steps:

1. Find a Common Denominator: - Find the least common multiple (LCM) of the denominators, b and d. This will be the new denominator for the sum.

2. Convert Fractions: - Rewrite both fractions so that they have the same denominator, the LCM found in the previous step. - Multiply the numerator and denominator of each fraction by the same value to make the denominators the same.

3. Add the Numerators: - Add the numerators of the fractions together. The result will be the numerator of the sum.

4. Simplify the Result: - If possible, simplify the resulting fraction by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it.

5. Final Result: - The simplified fraction obtained after adding the numerators is the sum of the two fractions.

This algorithm ensures that the fractions are added correctly and the result is in its simplest form.

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I hope this helps! If you have any further questions, feel free to ask.