Question

18/7:113/14-9/14•(2-1 5/22)

Answer 1

Пошаговое объяснение:

1) 7/15 : 14/25 = 7/15 * 25/14 = (7 * 25)/(15 * 14) = (7 * 5 * 5)/(3 * 5 * 2 * 7) = 5/(3 * 2) = 5/6;

Ответ: 5/6.

2) 8/13 : 4 = 8/(13 * 4) = 2/13;

Ответ: 2/13.

3) 9 : 27/28 = 9 * 28/27 = 28/3;

Ответ: 28/3.

4) 2 2/9 : 1 7/9 = (2 * 9 + 2)/9 : (1 * 9 + 7)/9 = 20/9 : 16/9 = 20/9 * 9/16 = 20/16 = 5/4.

Ответ: 5/4.

Answer 2

To evaluate the expression 18/7 + 113/14 - 9/14 • (2 - 1 + 5/22), we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

Let's break down the expression step by step:

1. Simplify the expression inside the parentheses: (2 - 1 + 5/22) = 1 + 5/22 = 1 + 0.2273 = 1.2273

2. Perform the multiplication and division operations from left to right: 9/14 • 1.2273 = 0.6429

3. Perform the addition and subtraction operations from left to right: 18/7 + 113/14 - 0.6429

To add or subtract fractions, we need to find a common denominator. In this case, the common denominator is 14:

(18/7) • (2/2) = 36/14 (113/14) • (1/1) = 113/14

Now we can add the fractions:

36/14 + 113/14 = (36 + 113)/14 = 149/14

Finally, we can subtract 0.6429 from 149/14:

149/14 - 0.6429 = 149/14 - 9/14 = (149 - 9)/14 = 140/14 = 10

Therefore, the value of the expression 18/7 + 113/14 - 9/14 • (2 - 1 + 5/22) is 10.

Please note that the above calculation is based on the given expression and the order of operations. If there are any errors or if you have any further questions, please let me know!