Question

(18-10 5/9)-(6 1/8*3 2/3)

Answer 1

Ответ:

-

$- \frac{1081 }{72}$

Answer 2

To solve the expression (18 - 10 5/9) - (6 1/8 * 3 2/3), let's break it down step by step:

Step 1: Convert mixed numbers to improper fractions. 10 5/9 = (10 * 9 + 5) / 9 = 95/9 6 1/8 = (6 * 8 + 1) / 8 = 49/8 3 2/3 = (3 * 3 + 2) / 3 = 11/3

Step 2: Perform the multiplication. 6 1/8 * 3 2/3 = (49/8) * (11/3)

To multiply fractions, multiply the numerators together and multiply the denominators together:

(49/8) * (11/3) = (49 * 11) / (8 * 3) = 539/24

Step 3: Subtract the results. Now, we have (18 - 95/9) - (539/24).

To subtract fractions, find a common denominator, which in this case is 9 * 24 = 216.

Rewrite the expression with the common denominator:

(18 * 216/216) - (95/9 * 24/24) - (539/24) = (3888/216) - (2280/216) - (539/24)

Step 4: Simplify the expression further. Combine the numerators while keeping the denominator the same:

(3888 - 2280 - 539) / 216 = 1069/216

Step 5: Reduce the fraction, if possible. The fraction 1069/216 cannot be simplified further.

So, the final result is 1069/216.