Question

3/8×4/5÷9/10. 2 2/11× 1 3/8÷ 3/4 6/7÷3/5×1 2/5. 11/23×3 2/7÷5 1/2 3/5×(2 2/3÷3 1/5). 1 1/8×(9 1/8÷1 3/4)

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Let's solve each of these expressions step by step:

1. (3/8) × (4/5) ÷ (9/10)

   First, multiply the fractions: (3/8) × (4/5) = (12/40) = (3/10)

   Then, divide by (9/10): (3/10) ÷ (9/10) = (3/10) × (10/9) = 1/3

2. (2 2/11) × (1 3/8) ÷ (3/4)

   Convert mixed numbers to improper fractions: (2 2/11) = (24/11) and (1 3/8) = (11/8)

   Now, multiply the fractions: (24/11) × (11/8) = 3

   Finally, divide by (3/4): 3 ÷ (3/4) = 4

3. (6/7) ÷ (3/5) × (1 2/5)

   Convert mixed number to an improper fraction: (1 2/5) = (7/5)

   Now, perform the operations step by step: (6/7) ÷ (3/5) = (6/7) × (5/3) = (30/21)

   Then, multiply by (7/5): (30/21) × (7/5) = (210/105) = 2

4. (11/23) × (3 2/7) ÷ (5 1/2)

   Convert mixed numbers to improper fractions: (3 2/7) = (23/7) and (5 1/2) = (11/2)

   Now, perform the operations step by step: (11/23) × (23/7) = 1

   Then, divide by (11/2): 1 ÷ (11/2) = 2/11

5. (3/5) × ((2 2/3) ÷ (3 1/5))

   Convert mixed numbers to improper fractions: (2 2/3) = (8/3) and (3 1/5) = (16/5)

   Now, perform the operations step by step: (8/3) ÷ (16/5) = (8/3) × (5/16) = (40/48) = (5/6)

   Finally, multiply by (3/5): (5/6) × (3/5) = (15/30) = 1/2

6. (1 1/8) × ((9 1/8) ÷ (1 3/4))

   Convert mixed numbers to improper fractions: (1 1/8) = (9/8) and (9 1/8) = (73/8) and (1 3/4) = (7/4)

   Now, perform the operations step by step: (9/8) ÷ (7/4) = (9/8) × (4/7) = (36/56) = (9/14)

   Finally, multiply by (9 1/8): (9/14) × (73/8) = (657/112)

So, the results of the given expressions are:

1. 3/8 × 4/5 ÷ 9/10 = 1/3
2. 2 2/11 × 1 3/8 ÷ 3/4 = 4
3. 6/7 ÷ 3/5 × 1 2/5 = 2
4. 11/23 × 3 2/7 ÷ 5 1/2 = 2/11
5. 3/5 × (2 2/3 ÷ 3 1/5) = 1/2
6. 1 1/8 × (9 1/8 ÷ 1 3/4) = 657/112