Question

15/17*7 - 5/9 : 17/13 15/16 * (24/25 : 9/10 )

Answer 1

Ответ:

Пошаговое объяснение:

15/17*7 - 5/9 : 17/13 =5 11/5/153

15/17*7=105/17=6 3/17

5/9:17/13=5/9*13/17=65/153

6 3/17-65/153=6 27/153-65/153=6-38/153=5 115/153

15/16 * (24/25 : 9/10 ) =1 2/3

24/25:9/10=24/15*10/9=16/15

15/16*16/15=1

Answer 2

To solve the given expressions, let's take it step by step:

1. 15/17 * 7 - 5/9 : 17/13

Step 1: Evaluate the multiplication first: 15/17 * 7 = 105/17

Step 2: Evaluate the division: 5/9 : 17/13 = (5/9) * (13/17) = 65/153

Step 3: Subtract the results: 105/17 - 65/153

To subtract these fractions, we need a common denominator. The common denominator for 17 and 153 is 17 * 153 = 2601.

Now, convert both fractions to have the common denominator: (105/17) * (153/153) - (65/153) * (17/17) = (16065/2601) - (1105/2601) = (16065 - 1105) / 2601 = 14960/2601

So, 15/17 * 7 - 5/9 : 17/13 = 14960/2601.

2. 15/16 * (24/25 : 9/10)

Step 1: Evaluate the division inside the parentheses: (24/25) : (9/10) = (24/25) * (10/9) = 240/225 = 32/30 = 16/15

Step 2: Now, multiply the fractions: (15/16) * (16/15) = 1

So, 15/16 * (24/25 : 9/10) = 1.

In summary:

1. 15/17 * 7 - 5/9 : 17/13 = 14960/2601.
2. 15/16 * (24/25 : 9/10) = 1.