Question

1) (3/22 + 2/11) *2; 2) ( 3/5- 1 2/3) :16; 3) (4 1/9 - 5) * 5/8; 4) 1/23 * (5/6 + 4/9); 5) ( 8/25 - 22/75) : 2/5; 6) (1/11 + 1/3) *3/7​

Answer 1

Пошаговое объяснение:

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Answer 2

Пошаговое объяснение:

1)

(3/22 + 2/11) * 2 = (3/22 + 4/22) * 2 = 7/22 * 2 = 14/22 = 7/11

2)

(3/5 - 1 2/3) : 16 = (9/15 - 1 10/15) * 1/16 = -1 1/15 * 1/16 = -16/15 * 1/16 = -1/15 * 1/1 = -1/15

3)

(4 1/9 - 5) * 5/8 = (4 1/9 - 4 9/9) * 5/8 = -8/9 * 5/8 = -5/9

4)

1/23 * (5/6 + 4/9) = 1/23 * (15/18 + 8/18) = 1/23 * 23/18 = 1/18

5)

(8/25 - 22/75) : 2/5 = (24/75 - 22/75) * 5/2 = 2/75 * 5/2 = 5/75 = 1/15

6)

(1/11 + 1/3) * 3/7 = (3/33 + 11/33) * 3/7 = 14/33 * 3/7 = 2/11 * 1/1 = 2/11

Answer 3

Let's solve the expressions step by step:

1. (3/22 + 2/11) * 2: First, we need to find a common denominator for the fractions. The common denominator for 22 and 11 is 22. Rewriting the fractions with the common denominator, we get: (3/22 + 4/22) * 2 = 7/22 * 2 = 7/11

2. (3/5 - 1 2/3) : 16: First, we need to convert the mixed number 1 2/3 into an improper fraction. 1 2/3 = (1 * 3 + 2)/3 = 5/3 Now, we can subtract the fractions: (3/5 - 5/3) : 16 = (-9/15 - 25/15) : 16 = (-34/15) : 16 = -34/240 = -17/120

3. (4 1/9 - 5) * 5/8: First, we need to convert the mixed number 4 1/9 into an improper fraction. 4 1/9 = (4 * 9 + 1)/9 = 37/9 Now, we can subtract the fractions: (37/9 - 5) * 5/8 = (37/9 - 45/9) * 5/8 = (-8/9) * 5/8 = -40/72 = -5/9

4. 1/23 * (5/6 + 4/9): First, we need to find a common denominator for the fractions inside the parentheses. The common denominator for 6 and 9 is 18. Rewriting the fractions with the common denominator, we get: 1/23 * (15/18 + 8/18) = 1/23 * 23/18 = 1/18

5. (8/25 - 22/75) : 2/5: First, we need to find a common denominator for the fractions. The common denominator for 25 and 75 is 75. Rewriting the fractions with the common denominator, we get: (24/75 - 22/75) : 2/5 = 2/75 : 2/5 = (2/75) * (5/2) = 10/150 = 1/15

6. (1/11 + 1/3) * 3/7: First, we need to find a common denominator for the fractions. The common denominator for 11 and 3 is 33. Rewriting the fractions with the common denominator, we get: (3/33 + 11/33) * 3/7 = 14/33 * 3/7 = 2/11

Therefore, the solutions to the expressions are:

1. (3/22 + 2/11) * 2 = 7/11
2. (3/5 - 1 2/3) : 16 = -17/120
3. (4 1/9 - 5) * 5/8 = -5/9
4. 1/23 * (5/6 + 4/9) = 1/18
5. (8/25 - 22/75) : 2/5 = 1/15
6. (1/11 + 1/3) * 3/7 = 2/11