Question

(9-2 1/7:9/14):2 4/15=

Answer 1

(9-2 1/7:9/14):2 4/15=(9/1-15/7:9/14):2 4/15=(9/1-5/1*2/3):2 4/15=(9/1-10/3):2 4/15=(27/3-10/3):2 4/15=17/3:2 4/15=17/3*15/34=1/1*5/2=5/2=2,5

Answer 2

To solve the expression (9 - 2 1/7 : 9/14) : 2 4/15, let's follow the order of operations (PEMDAS):

1. First, perform the division inside the parentheses: (9 - 2 1/7 : 9/14) = (9 - (15/7) : (9/14))

2. Then, perform the division: (9 - (15/7) : (9/14)) = (9 - (15/7) * (14/9))

3. Next, perform the multiplication: (9 - (15/7) * (14/9)) = (9 - (210/63))

4. Simplify further: (9 - (210/63)) = (9 - 3.3333...)

Now, let's evaluate the expression outside the parentheses:

5. Divide by 2 4/15: (9 - 3.3333...) : 2 4/15

To perform division with a mixed number, we convert the mixed number into an improper fraction:

2 4/15 = (2 * 15 + 4) / 15 = 34/15

6. Now, divide (9 - 3.3333...) by 34/15: (9 - 3.3333...) / (34/15) = (9 - 3.3333...) * (15/34)

7. Perform the subtraction: (9 - 3.3333...) * (15/34) = (5.6666...) * (15/34)

8. Finally, perform the multiplication: (5.6666...) * (15/34) ≈ 2.51

So, the result of the expression is approximately 2.51.