Question

СРОЧНО ДАМ 20 БАЛЛОВ надо найти дроби которые можно представить в конечной десятичной 1/7 5/8 2/9 3/5 4/11 1/4

Answer 1

5/8 = 0,625
3/5 = 0,6
1/4 = 0,25

Answer 2

5/8 3/5  1/4- вот же они)

во - первых, дробь должна быть несократимой, во - вторых, нет смысла делить числитель на знаменатель, чтобы убедиться в правильности ответа, в - третьих, когда же обыкновенные дроби  можно представить в конечной десятичной? когда знаменатель содержит двойку или пятерку, их произведение, или произведение их степеней.

в вашем случае все дроби несократимые, знаменатели выделенных мною дробей  8=2³; 5; 4=2²

этими свойствами не обладают другие знаменатели 7; 9;11.

Answer 3

Finding Fractions that can be Represented as Terminating Decimals

To determine which fractions can be represented as terminating decimals, we need to check if the denominator of each fraction has only prime factors of 2 and/or 5. If a fraction's denominator has any prime factors other than 2 and 5, the decimal representation will be repeating or non-terminating.

Let's analyze each fraction you provided:

1. 1/7: The denominator, 7, does not have any prime factors of 2 or 5. Therefore, the decimal representation of 1/7 is non-terminating and repeating.

2. 5/8: The denominator, 8, has a prime factor of 2 but no prime factor of 5. Therefore, the decimal representation of 5/8 is terminating.

3. 2/9: The denominator, 9, has a prime factor of 3 but no prime factor of 2 or 5. Therefore, the decimal representation of 2/9 is non-terminating and repeating.

4. 3/5: The denominator, 5, has a prime factor of 5 but no prime factor of 2. Therefore, the decimal representation of 3/5 is terminating.

5. 4/11: The denominator, 11, does not have any prime factors of 2 or 5. Therefore, the decimal representation of 4/11 is non-terminating and repeating.

6. 1/4: The denominator, 4, has a prime factor of 2 but no prime factor of 5. Therefore, the decimal representation