Question

10-13,2:(3 11/21-2 4/15)​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the expression 10 - 13.2 ÷ (3 11/21 - 2 4/15), we should follow the order of operations (PEMDAS/BODMAS):

1. First, deal with the fractions:

   • 3 11/21 can be converted to an improper fraction: (3 * 21 + 11) / 21 = (63 + 11) / 21 = 74/21.
   • 2 4/15 can be converted to an improper fraction: (2 * 15 + 4) / 15 = (30 + 4) / 15 = 34/15.

2. Next, simplify the expression inside the parentheses:

   • 74/21 - 34/15 To subtract these fractions, you need to find a common denominator, which is the least common multiple of 21 and 15, which is 315.
   • (74/21) - (34/15) = (74/21) * (15/15) - (34/15) * (21/21) = (1110/315) - (714/315)

3. Subtract the fractions inside the parentheses:

   • (1110/315) - (714/315) = (1110 - 714)/315 = 396/315.

4. Now, you have the expression: 10 - 13.2 ÷ (396/315).

5. Divide 13.2 by 396/315:

   • 13.2 ÷ (396/315) = 13.2 * (315/396)

6. Multiply the fractions:

   • (13.2 * 315) / 396 = 4158 / 396.

7. Finally, subtract 10 from the result:

   • 4158/396 - 10 To subtract these, you need to find a common denominator, which is 396.
   • (4158/396) - (10 * 396/396) = (4158 - 3960) / 396 = 198/396.

8. Simplify the fraction:

   • 198/396 = 1/2.

So, the final result is 1/2.