Question

1 1/2-2/9 ×5/9 =(1 1/3 - 5/8)× 18​

Answer 1

Ответ:

Пошаговое объяснение:

$\frac{11}{2}$ - $\frac{2}{9}$ . $\frac{5}{9}$ =

$\frac{11}{2}$ - $\frac{10}{81}$ = $\frac{959}{178}$

($\frac{11}{3}$ - $\frac{5}{8}$) . 18 =

$\frac{73}{24}$ . 18 = $\frac{219}{4}$

Answer 2

Let's break down the given equation step by step:

1. $1 \frac{1}{2} - \frac{2}{9} \times \frac{5}{9} = \left(1 \frac{1}{3} - \frac{5}{8}\right) \times 18$

First, let's simplify each side of the equation individually:

On the left side: $1 \frac{1}{2}$ is the same as $\frac{3}{2}$ (improper fraction). $\frac{2}{9} \times \frac{5}{9} = \frac{10}{81}$.

So, the left side becomes: $\frac{3}{2} - \frac{10}{81}$.

On the right side: $1 \frac{1}{3}$ is the same as $\frac{4}{3}$ (improper fraction). $\frac{5}{8}$ remains as it is.

So, the right side becomes: $\left(\frac{4}{3} - \frac{5}{8}\right) \times 18$.

Now, let's perform the calculations:

On the left side: $\frac{3}{2} - \frac{10}{81} = \frac{243}{162} - \frac{20}{162} = \frac{223}{162}$.

On the right side: $\frac{4}{3} - \frac{5}{8} = \frac{32}{24} - \frac{15}{24} = \frac{17}{24}$. Now, $\left(\frac{17}{24}\right) \times 18 = \frac{17 \times 18}{24} = \frac{306}{24}$, which can be simplified to $\frac{51}{4}$.

So, the equation becomes: $\frac{223}{162} = \frac{51}{4}$.

Now, you can check if the two sides are equal: $\frac{223}{162} \approx 1.3765$ (approximately) and $\frac{51}{4} = 12.75$.

Since $\frac{223}{162}$ is not equal to $\frac{51}{4}$, the given equation is not true. There might be a mistake in the initial setup or calculations. Please double-check the values in the equation.