Question

13 7/9 - ( 2,64+2 7/9)

Answer 1

Ответ:

209/25

Объяснение:

13 7/9-(2,64+2 7/9)

124/9-(66/25+25/9)

124/9-1219/225

209/25

Answer 2

Ответ:

8,36

Объяснение:

13 7/9 - (2,64 + 2 7/9) = 13 7/9 - 2,64 - 2 7/9 = (13 7/9 - 2 7/9) - 2,64 = 11 - 2,64 = 8,36

Answer 3

To calculate the expression $13 \frac{7}{9} - (2.64 + 2 \frac{7}{9})$, you can follow these steps:

Step 1: Convert the mixed numbers to improper fractions. $13 \frac{7}{9} = \frac{13 \cdot 9 + 7}{9} = \frac{117 + 7}{9} = \frac{124}{9}$

$2 \frac{7}{9} = \frac{2 \cdot 9 + 7}{9} = \frac{18 + 7}{9} = \frac{25}{9}$

Step 2: Perform the addition inside the parentheses: $2.64 + 2 \frac{7}{9} = 2.64 + \frac{25}{9}$

Step 3: Convert the decimal to a fraction with the same denominator as $\frac{25}{9}$. $2.64 = \frac{264}{100} = \frac{132}{50}$

Now, we have $2 \frac{7}{9} = \frac{25}{9}$ and $2.64 = \frac{132}{50}$.

Step 4: Subtract $\frac{25}{9}$ from $\frac{132}{50}$: $\frac{132}{50} - \frac{25}{9} = \frac{132 \cdot 9}{50 \cdot 9} - \frac{25 \cdot 50}{9 \cdot 50} = \frac{1188}{450} - \frac{1250}{450}$

Step 5: Now, subtract the fractions: $\frac{1188 - 1250}{450} = \frac{-62}{450}$

Step 6: Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2: $\frac{-62}{450} = \frac{-31}{225}$

So, $13 \frac{7}{9} - (2.64 + 2 \frac{7}{9}) = \frac{124}{9} - \frac{-31}{225} = \frac{124 \cdot 225 + 31 \cdot 9}{9 \cdot 225} = \frac{27900 + 279}{2025} = \frac{28179}{2025}$

Now, you can further simplify the fraction if needed.