Question

(24:6/7-1/9:4/21+6,75:9)​

Answer 1

Ответ: 28целых 1/6

Пошаговое объяснение:

(24 ÷ 6/7 - 1/9 ÷ 4/21 + 6,75 ÷ 9) = 28целых 1/6

1) 24 ÷ 6/7 = 24 × 7/6 = 4 × 7/1 = 28/1 = 28

2) 1/9 ÷ 4/21 = 1/9 × 21/4 = 21/36

3) 6,75 ÷ 9 = 0,75

28 - 21/36 + 0,75

4) 28 - 21/36 = 27целых 36/36 - 21/36 = 27целых 15/36 = 27целых 5/12

5) 27целых 5/12 + 0,75 = 27целых 5/12 + 75/100 = 27целых 5/12 + 3/4 = 27целых 5/12 + 9/12 = 27целых 14/12 = 28целых 2/12 = 28целых 1/6

Answer 2

Ответ:

$24 \div \frac{6}{7} - \frac{1}{9} \div \frac{4}{21} + 6.75 \div 9 = 24 \times \frac{7}{6} - \frac{1}{9} \times \frac{21}{4} + 0.75 = 4 \times 7 - \frac{1}{3 } \times \frac{7}{4} + \frac{3}{4} = 28 - \frac{7}{12} + \frac{3}{4} = \frac{169}{6}$

Answer 3

To evaluate the expression (24:6/7-1/9:4/21+6,75:9), let's break it down step by step:

Step 1: Simplify the division operations.

24:6/7 becomes 4, as 24 divided by 6 is 4. 1/9:4/21 becomes 7/2, as (1/9) divided by (4/21) is equal to (1/9) multiplied by (21/4), which simplifies to 7/2.

The expression now becomes:

4 - 7/2 + 6,75:9

Step 2: Perform the addition and subtraction.

4 - 7/2 is equal to (8/2) - (7/2) which simplifies to 1/2. 6,75:9 becomes 0,75, as 6,75 divided by 9 is 0,75.

The expression now becomes:

1/2 + 0,75

Step 3: Add the fractions.

1/2 + 0,75 is equal to 1/2 + 3/4. To add these fractions, we need a common denominator, which is 4. So:

1/2 + 3/4 = 2/4 + 3/4 = 5/4.

Therefore, the simplified value of the expression (24:6/7-1/9:4/21+6,75:9) is 5/4.