Question

Верно ли утверждение? " если числитель дроби увеличить в 7 раз, и знаменатель увеличить в 7 ращ, то дробь не измениться" Срочнооо ребят))

Answer 1

Верное утдверждение, дробь не изменится.

Answer 2

Verifying the Claim about Increasing the Numerator and Denominator of a Fraction

The claim states that if the numerator of a fraction is increased by 7 times and the denominator is also increased by 7 times, the fraction will not change.

To verify this claim, let's consider a specific example and then check the general rule.

Example to Verify the Claim

Let's take the fraction 2/3 as an example.

If we increase the numerator by 7 times, it becomes 2 * 7 = 14. If we increase the denominator by 7 times, it becomes 3 * 7 = 21.

So, according to the claim, the fraction 2/3 should remain unchanged when expressed as 14/21.

General Rule

The general rule is that if both the numerator and the denominator of a fraction are multiplied or divided by the same non-zero number, the value of the fraction changes.

According to the general rule, when both the numerator and the denominator are increased by the same factor, the value of the fraction changes.

Therefore, the claim that the fraction will not change when both the numerator and the denominator are increased by 7 times is incorrect.

Conclusion: The claim is not true. When both the numerator and the denominator of a fraction are increased by the same factor, the value of the fraction changes.

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