Question

(30:27-1/3)×2/1/7+2/5

Answer 1

Ответ:

Пошаговое объяснение:

30:27=$\frac{30}{27}=\frac{10}{9}=1\frac{1}{9}$

1\frac{1}{9}[/tex]-$\frac{1}{3}$=$\frac{10}{9} -\frac{3}{9} =\frac{7}{9}$

\frac{7}{9}[/tex]*2=$\frac{14}{9}$

$\frac{14}{9}$:1=$\frac{14}{9}$

$\frac{14}{9}$:7=$\frac{2}{9}$

$\frac{2}{9}$+$\frac{2}{5}=\frac{10}{45}+\frac{18}{45}=\frac{28}{45}$

Answer 2

Let's break down the expression step by step:

1. $30:27 = \frac{30}{27} = \frac{10}{9}$

2. $\frac{10}{9} - \frac{1}{3} = \frac{10}{9} - \frac{3}{9} = \frac{7}{9}$

3. $\frac{7}{9} \times 2 = \frac{14}{9}$

4. $\frac{14}{9} \div \frac{1}{7} = \frac{14}{9} \times 7 = \frac{98}{9}$

5. $\frac{98}{9} + \frac{2}{5}$

To add $\frac{98}{9}$ and $\frac{2}{5}$, we need a common denominator, which is 45. So, we need to convert both fractions:

$\frac{98}{9} \times \frac{5}{5} = \frac{490}{45}$

$\frac{2}{5} \times \frac{9}{9} = \frac{18}{45}$

Now, we can add the fractions:

$\frac{490}{45} + \frac{18}{45} = \frac{508}{45}$

So, the simplified result of the expression $(30:27-\frac{1}{3}) \times \frac{2}{1} \div \frac{1}{7} + \frac{2}{5}$ is $\frac{508}{45}$.