Question

1:3/7 2/3•12 2/3:18 8/27•36

Answer 1

1) 2целых 1/3

2) 8

3) 1/27

4) 10 целых 2/3

Answer 2

To solve these arithmetic expressions, let's go through each one step by step:

1. 1:3/7 "1:3" means dividing 1 by 3, and "/7" means dividing the result by 7. So, we start with 1 divided by 3, which is 1/3. Then, we divide 1/3 by 7: (1/3) / 7 = 1/3 * 1/7 = 1/21. Therefore, 1:3/7 equals 1/21.

2. 2/3 • 12 Here, we need to multiply 2/3 by 12. Multiply the numerators: 2 * 12 = 24. Multiply the denominators: 3 * 1 = 3. Therefore, 2/3 • 12 equals 24/3, which simplifies to 8.

3. 2/3:18 ":" indicates division, so we divide 2/3 by 18. Multiply the numerator by the reciprocal of the denominator: (2/3) * (1/18) = 2/3 * 1/18 = 2/54. Simplifying the fraction, we get 1/27. Therefore, 2/3:18 equals 1/27.

4. 8/27 • 36 Multiply 8/27 by 36. Multiply the numerators: 8 * 36 = 288. Multiply the denominators: 27 * 1 = 27. Therefore, 8/27 • 36 equals 288/27, which simplifies to 32/3.

To summarize:

1. 1:3/7 = 1/21
2. 2/3 • 12 = 8
3. 2/3:18 = 1/27
4. 8/27 • 36 = 32/3