К) 4/7+2/5 л) 5/6+1/3 м) 2 +5/6

к) To add 4/7 and 2/5, we need to find a common denominator.

The least common multiple of 7 and 5 is 35.

Therefore, we need to make the denominators of both fractions equal to 35.

To convert 4/7 to a fraction with a denominator of 35, we multiply both the numerator and denominator by 5:

4/7 * 5/5 = 20/35

To convert 2/5 to a fraction with a denominator of 35, we multiply both the numerator and denominator by 7:

2/5 * 7/7 = 14/35

Now that both fractions have a denominator of 35, we can add them:

20/35 + 14/35 = 34/35

Therefore, the sum of 4/7 and 2/5 is 34/35.

л) To add 5/6 and 1/3, we need to find a common denominator.

The least common multiple of 6 and 3 is 6.

Therefore, we need to make the denominators of both fractions equal to 6.

To convert 5/6 to a fraction with a denominator of 6, we multiply both the numerator and denominator by 1:

5/6 * 1/1 = 5/6

To convert 1/3 to a fraction with a denominator of 6, we multiply both the numerator and denominator by 2:

1/3 * 2/2 = 2/6

Now that both fractions have a denominator of 6, we can add them:

5/6 + 2/6 = 7/6

However, 7/6 is an improper fraction. To express it as a mixed number:

7/6 = 1 1/6

Therefore, the sum of 5/6 and 1/3 is 1 1/6.

м) To add 2 and 5/6, we can convert 2 to a fraction with a denominator of 6:

2 = 12/6

Now we can add the fractions:

12/6 + 5/6 = 17/6

However, 17/6 is an improper fraction. To express it as a mixed number:

17/6 = 2 5/6

Therefore, the sum of 2 and 5/6 is 2 5/6.