Question

1.(3/22 + 2/11)×2;2.(3/5 -1 2/3);3.(4/9 - 11/15 + 2/3):3 2/5 + 2/9;по действиям.​

Answer 1

Ответ:

Пошаговое объяснение:

1. (3/22 +2/11)·2=(3/22 +4/22)·2=7/22 ·2=7/11

2. 3/5 -1 2/3=9/15 -1 10/15=-1 1/15

3. (4/9 -11/15 +2/3)÷3 2/5+2/9=1/3

3.1. 4/9 -11/15 +2/3=20/45 -33/45 +30/45=17/45

3.2. 17/45 ÷3 2/5=17/45 ·5/17=1/9

3.3. 1/9 +2/9=3/9=1/3

Answer 2

1. To solve the expression (3/22 + 2/11) × 2, we first simplify the addition inside the parentheses: - 3/22 + 2/11 = (3 × 11 + 2 × 22) / (22 × 11) = (33 + 44) / 242 = 77 / 242 - Now, we multiply the result by 2: - (77 / 242) × 2 = (77 × 2) / 242 = 154 / 242

2. To solve the expression (3/5 - 1 + 2/3), we first simplify the subtraction and addition: - 3/5 - 1 + 2/3 = (3/5) + (2/3) - 1 = (3 × 3 + 2 × 5) / (5 × 3) - 1 = (9 + 10) / 15 - 1 = 19 / 15 - 1 - Now, we find a common denominator for the fractions: - 19 / 15 - 1 = (19 - 15) / 15 = 4 / 15 - 1 - Finally, we subtract 1 from the fraction: - 4 / 15 - 1 = 4 / 15 - 15 / 15 = (4 - 15) / 15 = -11 / 15

3. To solve the expression (4/9 + 11/15 + 2/3) ÷ (3 + 2/5 + 2/9), we first simplify the addition inside the parentheses: - 4/9 + 11/15 + 2/3 = (4 × 5 + 11 × 3 + 2 × 9) / (9 × 15) = (20 + 33 + 18) / 135 = 71 / 135 - Now, we simplify the addition in the denominator: - 3 + 2/5 + 2/9 = (3 × 45 + 2 × 9 + 2 × 5) / (45 × 9) = (135 + 18 + 10) / 405 = 163 / 405 - Finally, we divide the numerator by the denominator: - (71 / 135) ÷ (163 / 405) = (71 × 405) / (135 × 163) = 28755 / 22005

Summary: 1. (3/22 + 2/11) × 2 = 154 / 242 2. (3/5 - 1 + 2/3) = -11 / 15 3. (4/9 + 11/15 + 2/3) ÷ (3 + 2/5 + 2/9) = 28755 / 22005