Question

0,6*5/6-(3 5/9 - 2 2/15) : 32/45​

Answer 1

Ответ:

34 ответ ну вроде верно @@@@@@@@@@@@

Answer 2

To solve this expression, let's break it down step by step:

1. $0.6 \times 5 = 3$ (because $0.6$ is the same as $\frac{6}{10}$ and $3 \times 5 = 15$).
2. $3 \div 6 = \frac{1}{2}$ (since $6$ is the same as $2 \times 3$ and dividing by $2$ is the same as multiplying by $\frac{1}{2}$).
3. $3 \frac{5}{9} - 2 \frac{2}{15}$ can be simplified to $\frac{32}{9} - \frac{34}{15}$.
   • To find a common denominator, we can use $45$ since it's divisible by both $9$ and $15$.
   • $\frac{32}{9} \times \frac{5}{5} = \frac{160}{45}$
   • $\frac{34}{15} \times \frac{3}{3} = \frac{102}{45}$
   • Now, we have $\frac{160}{45} - \frac{102}{45}$.
4. $\frac{160}{45} - \frac{102}{45} = \frac{58}{45}$.

Now, we have $\frac{58}{45} \div \frac{32}{45}$.

Dividing by a fraction is the same as multiplying by its reciprocal, so:

$\frac{58}{45} \div \frac{32}{45} = \frac{58}{45} \times \frac{45}{32} = \frac{58}{32}$.

Finally, $\frac{58}{32}$ can be simplified further. Both the numerator and the denominator are even, so we can divide both by $2$:

$\frac{29}{16}$.

So, the result of the given expression is $\frac{29}{16}$.