Question

Найти все натуральные значения m,при которых дробь 7m-2/36 будет правильной

Answer 1

7m - 2 < 36
7m < 36 + 2
7m < 38
  m < 38/7
  m<5_3/7
 и по условию m∈N =>
m∈{1; 2; 3; 4; 5}

Answer 2

Finding Natural Values of m for the Fraction 7m-2/36 to be Proper

To find the natural values of m for which the fraction 7m-2/36 will be proper, we need to determine the values of m that result in a proper fraction. A proper fraction is one where the numerator is less than the denominator.

The fraction 7m-2/36 will be proper when the numerator (7m-2) is less than the denominator (36).

The condition for the fraction to be proper is: - 7m-2 < 36

Let's solve this inequality to find the natural values of m that satisfy this condition.

Solving the Inequality

The inequality to solve is: - 7m-2 < 36

Let's solve for m: - 7m < 38 - m < 38/7

Conclusion

The natural values of m for which the fraction 7m-2/36 will be proper are the values of m less than 38/7.

Therefore, the natural values of m for which the fraction 7m-2/36 will be proper are m < 38/7.