Question

4/7 + 3 3/7×(7/24-5/16) - 4/5​

Answer 1

Ответ:

Решение смотри на фотографии

Answer 2

Let's solve the expression step by step:

1. Start with the multiplication inside the parentheses:

   $$\frac{3 \, \frac{3}{7} \times (7/24 - 5/16)}{4/5}$$

2. Perform the operations inside the parentheses:

   $$\frac{3 \, \frac{3}{7} \times \frac{7}{24} - 3 \, \frac{3}{7} \times \frac{5}{16}}{4/5}$$

3. Simplify the terms in the numerator:

   $$\frac{\frac{3}{7} \times \frac{1}{8} - \frac{15}{112}}{4/5}$$

4. Find a common denominator for the terms in the numerator:

   $$\frac{\frac{3}{56} - \frac{15}{112}}{4/5}$$

5. Combine the terms in the numerator:

   $$\frac{\frac{3}{56} - \frac{15}{112}}{4/5} = \frac{\frac{3}{56} - \frac{15}{112}}{4/5} \times \frac{112}{112}$$

6. Combine the terms in the numerator:

   $$\frac{3 - 15}{4 \times 5 \times 2} = \frac{-12}{40} = -\frac{3}{10}$$

7. Now, substitute this result back into the original expression:

   $$\frac{4}{7} + \left(-\frac{3}{10}\right) - \frac{4}{5}$$

8. Combine the terms:

   $$\frac{4}{7} - \frac{3}{10} - \frac{4}{5}$$

9. Find a common denominator for the terms:

   $$\frac{20}{35} - \frac{21}{35} - \frac{28}{35}$$

10. Combine the terms:

    $$-\frac{29}{35}$$

11. Reduce the fraction, if possible:

    $$-\frac{29}{35} = -\frac{29}{5 \times 7} = -\frac{29}{35}$$

So, the result of the expression $\frac{4}{7} + 3 \, \frac{3}{7} \times \left(\frac{7}{24} - \frac{5}{16}\right) - \frac{4}{5}$ is $-\frac{29}{35}$.