Question

ВЫЧИСЛИТЬ (63 2/3+3 1/8)-(13-10 5/9)

Answer 1

466466/3 ото провильно

Answer 2

Let's break this down into smaller steps to make it easier to solve:

Step 1: Convert mixed numbers to improper fractions

• 63 2/3 = (3 x 63 + 2)/3 = 191/3
• 3 1/8 = (8 x 3 + 1)/8 = 25/8
• 13 = 13/1
• 10 5/9 = (9 x 10 + 5)/9 = 95/9

So the expression now becomes:

(191/3 + 25/8) - (13/1 - 95/9)

Step 2: Find a common denominator To add and subtract fractions, we need a common denominator. The smallest common multiple of 3 and 8 is 24. The smallest common multiple of 1 and 9 is 9. Therefore, we need to convert all fractions to have a denominator of 24 and 9, respectively.

(191/3) * (8/8) * (3/3) = 4576/24 (25/8) * (3/3) * (3/3) = 225/24 (13/1) * (9/9) = 117/9 (95/9) * (8/8) = 760/72

So the expression now becomes:

(4576/24 + 225/24) - (117/9 - 760/72)

Step 3: Simplify Now we can add and subtract the fractions:

(4576/24 + 225/24) = 4801/24 (117/9 - 760/72) = (104/8 - 760/72) = (936/72 - 760/72) = 176/72 = 11/4

So the expression simplifies to:

4801/24 - 11/4

Step 4: Convert the result back to a mixed number To convert an improper fraction to a mixed number, we divide the numerator by the denominator and write the remainder as a fraction.

4801/24 = 200 + 1/24

So the final answer is:

200 1/24 - 11/4 or (200 x 24 + 1 - 66)/24 = 4801/24 - 66/24 = 4735/24, which is an improper fraction.