Question

Выполните сложение 6 2/17+3 11/17; 2 5/9+9

Answer 1

6 2/17+3 11/17=9 13/17
2 5/9+9=11 5/9

Answer 2

6 2/17 + 3 11/17 = 9 13/17;
2 5/9 + 9 = 11 5/9

Answer 3

I can help you with your math problem. To add fractions, you need to find a common denominator and then add the numerators. For example, to add $$6 \frac{2}{17} + 3 \frac{11}{17}$$, you can write them as $$\frac{6 \times 17 + 2}{17} + \frac{3 \times 17 + 11}{17}$$ and then simplify them as $$\frac{104}{17} + \frac{62}{17} = \frac{166}{17} = 9 \frac{13}{17}$$

Similarly, to add $$2 \frac{5}{9} + 9$$, you can write them as $$\frac{2 \times 9 + 5}{9} + \frac{9 \times 9}{9}$$ and then simplify them as $$\frac{23}{9} + \frac{81}{9} = \frac{104}{9} = 11 \frac{5}{9}$$

Therefore, the final answer is $$9 \frac{13}{17} + 11 \frac{5}{9}$$

To find a common denominator for these two fractions, you can multiply the denominators together, which gives $$17 \times 9 = 153$$. Then, you can multiply the numerators and denominators by the same factor to get equivalent fractions. For example, $$\frac{13}{17} = \frac{13 \times 9}{17 \times 9} = \frac{117}{153}$$ and $$\frac{5}{9} = \frac{5 \times 17}{9 \times 17} = \frac{85}{153}$$

Now, you can add the whole numbers and the fractions separately. The whole numbers are $$9 + 11 = 20$$ and the fractions are $$\frac{117}{153} + \frac{85}{153} = \frac{202}{153}$$

To simplify the fraction, you can divide the numerator and denominator by the greatest common factor, which is $$2$$. This gives $$\frac{101}{76}$$

Therefore, the final answer in mixed form is $$20 \frac{101}{76}$$

I hope this helps you understand how to add fractions. If you have any other questions, please ask me. I'm happy to help.