Question

После того как ваня очистил 1/3 катка, к нему присоеденился витя, и вдвоем они очистили 1/4 оставшейся части катка. какая часть катка осталась неочищенной? Загвоздка в том, что дети ещё не проходили деление дробей. Мозг закипает...

Answer 1

На фото подробные действия

Answer 2

Problem Analysis

The problem states that Vanya initially cleaned 1/3 of the rink, and then Vitya joined him to clean 1/4 of the remaining part of the rink. We need to determine the fraction of the rink that remains uncleaned.

Solution

To solve this problem, we can break it down into steps:

1. Calculate the fraction of the rink that Vanya cleaned initially. 2. Calculate the fraction of the rink that Vitya and Vanya cleaned together. 3. Subtract the fraction cleaned by Vitya and Vanya from the total rink to find the remaining uncleaned fraction.

Let's calculate each step:

Step 1: Fraction cleaned by Vanya

Vanya initially cleaned 1/3 of the rink. Therefore, the fraction of the rink cleaned by Vanya is 1/3.

Step 2: Fraction cleaned by Vitya and Vanya together

After Vanya cleaned 1/3 of the rink, Vitya joined him to clean 1/4 of the remaining part of the rink. To calculate the fraction cleaned by Vitya and Vanya together, we need to find 1/4 of the remaining 2/3 of the rink.

The remaining part of the rink after Vanya cleaned is 2/3. Therefore, the fraction cleaned by Vitya and Vanya together is (1/4) * (2/3) = 1/6.

Step 3: Remaining uncleaned fraction

To find the remaining uncleaned fraction, we subtract the fraction cleaned by Vitya and Vanya from the total rink.

The total rink is 1 whole, which can be represented as 1/1. Subtracting the fraction cleaned by Vitya and Vanya (1/6) from the total rink (1/1), we get:

1/1 - 1/6 = 6/6 - 1/6 = 5/6

Therefore, the fraction of the rink that remains uncleaned is 5/6.

Answer

The fraction of the rink that remains uncleaned is 5/6.

I hope this helps! Let me know if you have any further questions.