Question

4 7/12×(-1 3/11)-(-1 1/15)×(-45/64)​

Answer 1

Ответ:

1) 4 7/12 • ( - 1 3/11 ) = 55/12 • ( - 14/11 ) = - 35/6 = - 5 5/6  

2) ( - 1 1/15 ) • ( - 45/64 ) = ( - 16/15 ) • ( - 45/64 ) = 3/4  

3) - 5 5/6 - 3/4 = - 5 10/12 - 9/12 = - 5 19/12 = - 6 7/12

Пошаговое объяснение:1) 4 7/12 • ( - 1 3/11 ) = 55/12 • ( - 14/11 ) = - 35/6 = - 5 5/6  

2) ( - 1 1/15 ) • ( - 45/64 ) = ( - 16/15 ) • ( - 45/64 ) = 3/4  

3) - 5 5/6 - 3/4 = - 5 10/12 - 9/12 = - 5 19/12 = - 6 7/12

Answer 2

To simplify the given expression, follow these steps:

Step 1: Convert the mixed numbers to improper fractions. Step 2: Perform the operations according to the order of operations (PEMDAS/BODMAS).

Let's start with step 1:

1. Convert the mixed numbers to improper fractions: -1 3/11 = -(11/11 + 3/11) = -14/11 -1 1/15 = -(15/15 + 1/15) = -16/15

Now, the expression becomes: 4 7/12 × (-14/11) - (-16/15) × (-45/64)

Step 2: Perform the operations according to the order of operations (PEMDAS/BODMAS):

1. Perform the multiplications first: 4 7/12 × (-14/11) = (4 * 12 + 7)/12 × (-14/11) = (49/12) × (-14/11) = -49/6

   -(-16/15) × (-45/64) = (16/15) × (-45/64) = -(16 * 3)/(15 * 64) = -48/960 = -1/20

2. Now, the expression becomes: -49/6 - (-1/20)

3. Perform the subtraction: -49/6 + 1/20

To add fractions, you need a common denominator. The common denominator for 6 and 20 is 60.

4. Convert both fractions to have a denominator of 60: -49/6 = -49/6 * (10/10) = -490/60 1/20 = 1/20 * (3/3) = 3/60

Now the expression becomes: (-490/60) + (3/60)

5. Perform the addition: (-490/60) + (3/60) = -487/60

So the simplified expression is: -487/60

If you wish to convert this back to a mixed number, it is approximately -8 7/60.