Question

При каких натуральных значениях m дробь 5 m + 1 / 19 будет правильной

Answer 1

5m+1/19 если это правильная дробь, то 5m+1<19

5m+1<19

5m<18

m<3,6

Answer 2

Natural values of m for which the fraction 5m + 1/19 is a proper fraction

For a fraction a/b to be proper, the numerator a must be less than the denominator b.

Let's examine the fraction 5m + 1/19. For this fraction to be proper, 5m + 1 must be less than 19.

Since 5m is an integer multiple of 5, the only possible values for m that satisfy the condition are 0, 1, 2, 3, and 4.

For m = 0, 5m + 1 = 1 < 19, so this value of m yields a proper fraction.

For m = 1, 5m + 1 = 6 < 19, so this value of m also yields a proper fraction.

For m = 2, 5m + 1 = 11 < 19, so this value of m yields a proper fraction.

For m = 3, 5m + 1 = 16 < 19, so this value of m yields a proper fraction.

For m = 4, 5m + 1 = 21 > 19, so this value of m does not yield a proper fraction, as the numerator is now greater than the denominator.

Therefore, the natural values of m for which the fraction 5m + 1/19 is a proper fraction are 0, 1, 2, and 3.