Question

1)3;1/3+2;1/6 2)1;1/8-3/43)3/5+4;2/14)1;3/5-2/3​

Answer 1

Ответ:

1)3;1/3+2;1/6=21

2)2)1;1/8-3/4=29/4

3)3/5+4;2/1=13/5

4)1;3/5-2/3=1

Answer 2

1) To add the fractions 3;1/3 and 2;1/6, we first need to convert the mixed numbers into improper fractions.

3;1/3 can be written as (3 * 3) + 1/3 = 9/3 + 1/3 = 10/3

2;1/6 can be written as (2 * 6) + 1/6 = 12/6 + 1/6 = 13/6

Now, we can add the fractions:

10/3 + 13/6

To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 3 and 6 is 6.

So, we need to convert both fractions to have a denominator of 6:

10/3 * 2/2 = 20/6

13/6 (already in the correct form)

Now, we can add the fractions:

20/6 + 13/6 = (20 + 13)/6 = 33/6

To simplify the result, we can divide both the numerator and the denominator by their greatest common divisor, which is 3:

33/6 = (11 * 3)/(2 * 3) = 11/2

Therefore, 3;1/3 + 2;1/6 = 11/2.

2) To subtract the fractions 1;1/8 and 3/4, we first need to convert the mixed number into an improper fraction.

1;1/8 can be written as (1 * 8) + 1/8 = 8/8 + 1/8 = 9/8

Now, we can subtract the fractions:

9/8 - 3/4

To subtract fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 8 and 4 is 8.

So, we need to convert both fractions to have a denominator of 8:

9/8 (already in the correct form)

3/4 * 2/2 = 6/8

Now, we can subtract the fractions:

9/8 - 6/8 = (9 - 6)/8 = 3/8

Therefore, 1;1/8 - 3/4 = 3/8.

3) To add the fractions 3/5 and 4;2/14, we first need to convert the mixed number into an improper fraction.

4;2/14 can be written as (4 * 14) + 2/14 = 56/14 + 2/14 = 58/14

Now, we can add the fractions:

3/5 + 58/14

To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 5 and 14 is 70.

So, we need to convert both fractions to have a denominator of 70:

3/5 * 14/14 = 42/70

58/14 * 5/5 = 290/70

Now, we can add the fractions:

42/70 + 290/70 = (42 + 290)/70 = 332/70

To simplify the result, we can divide both the numerator and the denominator by their greatest common divisor, which is 2:

332/70 = (166 * 2)/(35 * 2) = 166/35

Therefore, 3/5 + 4;2/14 = 166/35.

4) To subtract the fractions 1;3/5 and 2/3, we first need to convert the mixed number into an improper fraction.

1;3/5 can be written as (1 * 5) + 3/5 = 5/5 + 3/5 = 8/5

Now, we can subtract the fractions:

8/5 - 2/3

To subtract fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 5 and 3 is 15.

So, we need to convert both fractions to have a denominator of 15:

8/5 * 3/3 = 24/15

2/3 * 5/5 = 10/15

Now, we can subtract the fractions:

24/15 - 10/15 = (24 - 10)/15 = 14/15

Therefore, 1;3/5 - 2/3 = 14/15.