Question

7/12 и 5/8 = НОК (12‚ 8 )​

Answer 1

Пошаговое объяснение:

12=2×2×3

8=2×2×2

НОК(12;8)=2×2×3×2=24

$\frac{7}{12} = \frac{7 \times 2}{12 \times 2} = \frac{14}{24}$

$\frac{5}{8} = \frac{5 \times 3}{8 \times 3} = \frac{15}{24}$

Answer 2

To find the least common multiple (LCM) of 12 and 8, we can use the prime factorization method:

12 = 2^2 * 3 8 = 2^3

We can see that both 12 and 8 have 2 as a common factor, and 2^3 is the highest power of 2 that appears in the prime factorization of 8. Also, 3 only appears in the prime factorization of 12. Therefore, the LCM of 12 and 8 is:

LCM(12, 8) = 2^3 * 3 = 24

Now, we can convert the fractions 7/12 and 5/8 to have a common denominator of 24:

7/12 = 14/24 5/8 = 15/24

So the equation becomes:

14/24 + 15/24 = 29/24

Therefore:

7/12 + 5/8 = 29/24

Answer: НОК(12, 8) = 24; 7/12 + 5/8 = 29/24.