
За завтраком съели 3/8 торта, а за обедом съели 1/4 торта. Весь ли торт съели?


Ответы на вопрос

Ответ:
Не весь
Пошаговое объяснение:
Торт- 8/8
Завтрак
8/8 - 3/8 = 5/8(т) осталось после завтрака
Обед
5/8 - 1/4 = (приводим к общему знаменателю) 5/8 - 2/8 = 3/8 (т) осталось после обеда



Problem Analysis
The problem states that 3/8 of a cake was eaten for breakfast, and 1/4 of the same cake was eaten for lunch. We need to determine if the entire cake was eaten.Solution
To determine if the entire cake was eaten, we need to add the fractions representing the portions eaten for breakfast and lunch. If the sum is equal to 1, then the entire cake was eaten.Let's calculate the sum of the fractions:
3/8 + 1/4
To add fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 8 and 4 is 8. We can convert both fractions to have a denominator of 8:
3/8 = 3 * (8/8) = 24/8 1/4 = 1 * (2/2) = 2/8
Now we can add the fractions:
24/8 + 2/8 = 26/8
The sum of the fractions is 26/8. To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 2:
26/8 = (26/2) / (8/2) = 13/4
Therefore, the sum of the fractions is 13/4. Since this is not equal to 1, it means that the entire cake was not eaten.
Answer
No, the entire cake was not eaten. The sum of the fractions representing the portions eaten for breakfast and lunch is 13/4, which is not equal to 1

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