Question

1) 2 3/10 +6 5/8 2) 1 3/4 +2 1/6 3) 7 5/9 +3 1/6 4) 2 3/14 +1 5/6​

Answer 1

Ответ:

Всё нужно привести к общему знаменателю

1) ОБЩИЙ ЗНАМЕНАТЕЛЬ 40

2 12/40 + 6 25/40 = 8 37/40

2)ОБЩИЙ ЗНАМЕНАТЕЛЬ 12

1 9/12 + 2 2/12 = 3 11/12

3) ОБЩИЙ ЗНАМЕНАТЕЛЬ 18

7 10/18 + 3 3/18 = 10 13/18

4) ОБЩИЙ ЗНАМЕНАТЕЛЬ 42

2 9/42 + 1 35/42 =3 44/42 = 3 + 1 2/42 = 4 2/42 = 4 1/21

Answer 2

To solve each of these addition problems involving mixed numbers, we'll first convert the mixed numbers into improper fractions, then add the fractions and whole numbers separately. Let's tackle each problem step by step:

1. 2 3/10 + 6 5/8

Step 1: Convert mixed numbers to improper fractions. 2 3/10 = (2 * 10 + 3) / 10 = 23/10 6 5/8 = (6 * 8 + 5) / 8 = 53/8

Step 2: Add the fractions. 23/10 + 53/8

Step 3: Find the common denominator for 10 and 8, which is 40. Now rewrite the fractions with the common denominator: (23/10) * (4/4) = 92/40 (53/8) * (5/5) = 265/40

Step 4: Add the fractions. 92/40 + 265/40 = (92 + 265) / 40 = 357/40

Step 5: Simplify the result if possible. 357/40 can be reduced to 8 17/40.

So, 2 3/10 + 6 5/8 = 8 17/40.

2. 1 3/4 + 2 1/6

Step 1: Convert mixed numbers to improper fractions. 1 3/4 = (1 * 4 + 3) / 4 = 7/4 2 1/6 = (2 * 6 + 1) / 6 = 13/6

Step 2: Add the fractions. 7/4 + 13/6

Step 3: Find the common denominator for 4 and 6, which is 12. Now rewrite the fractions with the common denominator: (7/4) * (3/3) = 21/12 (13/6) * (2/2) = 26/12

Step 4: Add the fractions. 21/12 + 26/12 = (21 + 26) / 12 = 47/12

Step 5: Convert the improper fraction to a mixed number. 47/12 can be written as 3 11/12.

So, 1 3/4 + 2 1/6 = 3 11/12.

3. 7 5/9 + 3 1/6

Step 1: Convert mixed numbers to improper fractions. 7 5/9 = (7 * 9 + 5) / 9 = 68/9 3 1/6 = (3 * 6 + 1) / 6 = 19/6

Step 2: Add the fractions. 68/9 + 19/6

Step 3: Find the common denominator for 9 and 6, which is 18. Now rewrite the fractions with the common denominator: (68/9) * (2/2) = 136/18 (19/6) * (3/3) = 57/18

Step 4: Add the fractions. 136/18 + 57/18 = (136 + 57) / 18 = 193/18

Step 5: Convert the improper fraction to a mixed number. 193/18 can be written as 10 13/18.

So, 7 5/9 + 3 1/6 = 10 13/18.

4. 2 3/14 + 1 5/6

Step 1: Convert mixed numbers to improper fractions. 2 3/14 = (2 * 14 + 3) / 14 = 31/14 1 5/6 = (1 * 6 + 5) / 6 = 11/6

Step 2: Add the fractions. 31/14 + 11/6

Step 3: Find the common denominator for 14 and 6, which is 42. Now rewrite the fractions with the common denominator: (31/14) * (3/3) = 93/42 (11/6) * (7/7) = 77/42

Step 4: Add the fractions. 93/42 + 77/42 = (93 + 77) / 42 = 170/42

Step 5: Simplify the result if possible. 170/42 can be reduced to 4 2/42, which simplifies further to 4 1/21.

So, 2 3/14 + 1 5/6 = 4 1/21.