Question

6 4/9 * 1 7/29 - (9 1/6 - 3 3/4) : 4 1/6

Answer 1

Решение:
6 4/9*-1 7/29-(9 1/6-3 3/4):4 1/6=58/9*36/29-(55/6-15/4):25/6=8-(55*4/24-15*6/24):25/6=
=8-(220/24-90/24):25/6=8-130/24:25/6=8-780/600=8-13/10=80/10-13/10=67/10=6 7/10=6,7

Ответ: 6,7

Answer 2

To solve this expression, we'll break it down step by step following the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction):

Step 1: Simplify within parentheses:

(9 1/6 - 3 3/4) = (55/6 - 15/4)

Now, find a common denominator, which is 12:

(55/6 - 15/4) = (55/6 - 45/12)

Step 2: Continue simplifying within parentheses:

(55/6 - 45/12) = (55/6 - 45/12) = (110/12 - 45/12)

Now, subtract:

(110/12 - 45/12) = 65/12

Step 3: Simplify the main expression:

6 4/9 * 1 7/29 - 65/12 : 4 1/6

Step 4: Convert the mixed numbers to improper fractions:

6 4/9 = (6 * 9 + 4)/9 = (54 + 4)/9 = 58/9 1 7/29 = (1 * 29 + 7)/29 = (29 + 7)/29 = 36/29 4 1/6 = (4 * 6 + 1)/6 = (24 + 1)/6 = 25/6

Now, the expression becomes:

(58/9) * (36/29) - (65/12) : (25/6)

Step 5: Perform the multiplications and division:

(58/9) * (36/29) = (58 * 36) / (9 * 29) = 2088/261

Now, divide by 65/12:

(2088/261) / (65/12)

To divide fractions, multiply by the reciprocal of the divisor:

(2088/261) * (12/65)

Step 6: Perform the final multiplication:

(2088/261) * (12/65) = (8/1) * (4/1) = 32

So, the final result is 32.