Question

(7/15 +23/45 )× (1 4/11+ 5/22):(11 5/18-7 1/9)​

Answer 1

Ответ:

28/75

Пошаговое объяснение:

1) 7/15 + 23/45 = 21/45 + 23/45 = 44/45

2) 1 4/11 + 5/22 = 1 8/22 + 5/22 = 1 13/22

3) 11 5/18 - 7 1/9 = 11 5/18 - 7 2/18 = 4 3/18 = 4 1/6

4) 44/45 * 1 13/22 = 44/45 * 35/22 = 14/9

5) 14/9 : 4 1/6 = 14/9 : 25/6 = 14/9 * 6/25 = 28/75

Answer 2

To solve the given expression, let's first simplify each fraction step by step and then perform the calculations:

Step 1: Convert mixed fractions to improper fractions. Step 2: Add or subtract the fractions in the parentheses. Step 3: Perform the multiplication and division operations.

Let's start:

Step 1: Convert mixed fractions to improper fractions.

7/15 + 23/45 = (73 + 23)/(153 + 45) = 76/135

1 4/11 + 5/22 = (11 + 411 + 5)/(112) = (11 + 49 + 5)/22 = 65/22

11 5/18 - 7 1/9 = (1811 + 5 - 97 - 1)/(18*9) = (198 + 5 - 63 - 1)/162 = 139/162

Step 2: Perform the operations inside the parentheses.

(76/135) * (65/22) = (76 * 65) / (135 * 22) = 4940 / 2970 = 494/297

Step 3: Divide the result by (139/162).

(494/297) ÷ (139/162) = (494/297) * (162/139) = (494 * 162) / (297 * 139) = 79908 / 41383

So, the final result of the expression is 79908/41383.