Question

(2 1/6 + 2,25) : (3 4/21 - 1 2/7 * 2 4/12)

Answer 1

Ответ:

Пошаговое объяснение:

1) 2 1/6 + 2,25 = 2 1/6 + 2 25/100 = 2 1/6 + 2 1/4 = 2 2/12 + 2 3/12 = 4 5/12

2) 1 2/7 * 2 4/12 = 9/7 * 28/12 = 3/1 * 4/4 = 12/4 = 3

3) 3 4/21 - 3 = 4/21

4) 4 5/12 : 4/21 = 53/12 * 21/4 = 371/16 = 23 3/16

Answer 2

Ответ:

371\16 или 23 3\16 или 23,1875

Пошаговое объяснение:

Answer 3

To solve this expression, follow these steps:

Step 1: Convert mixed numbers to improper fractions.

• $2 \frac{1}{6}$ as an improper fraction is $\frac{13}{6}$.
• $3 \frac{4}{21}$ as an improper fraction is $\frac{67}{21}$.
• $1 \frac{2}{7}$ as an improper fraction is $\frac{9}{7}$.
• $2 \frac{4}{12}$ as an improper fraction is $\frac{28}{12}$, which can be simplified to $\frac{7}{3}$.

Step 2: Perform the arithmetic operations.

• $2 \frac{1}{6} + 2.25 = \frac{13}{6} + 2.25$
• $3 \frac{4}{21} - 1 \frac{2}{7} \times 2 \frac{4}{12} = \frac{67}{21} - \frac{9}{7} \times \frac{7}{3}$

Step 3: Calculate the values.

• $2 \frac{1}{6} + 2.25 = \frac{13}{6} + 2.25 = \frac{13}{6} + \frac{9}{4} = \frac{52 + 54}{24} = \frac{106}{24} = \frac{53}{12}$

• $3 \frac{4}{21} - 1 \frac{2}{7} \times 2 \frac{4}{12} = \frac{67}{21} - \frac{9}{7} \times \frac{7}{3} = \frac{67}{21} - \frac{9}{3} = \frac{67}{21} - 3 = \frac{67 - 63}{21} = \frac{4}{21}$

Step 4: Divide the results.

• $\frac{\frac{53}{12}}{\frac{4}{21}} = \frac{53}{12} \times \frac{21}{4} = \frac{53 \times 21}{12 \times 4} = \frac{1113}{48} = \frac{139}{6}$

So, the final result is $\frac{139}{6}$.