Question

5 1/6-(2 1/6+3 1/4):2 3/5 -2/3•2 1/4

Answer 1

Ответ:

На фото)

Пошаговое объяснение:

Тоже написаны на фото :>

Answer 2

Смотрите ответ на фото

Answer 3

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

1. First, simplify the addition and subtraction within the parentheses:

   • $2\frac{1}{6} + 3\frac{1}{4} = 2 + \frac{1}{6} + 3 + \frac{1}{4} = 5 + \frac{1}{6} + \frac{1}{4} = 5 + \frac{5}{12} = 5\frac{5}{12}$.

2. Now, multiply $\frac{2}{3}$ by $2\frac{1}{4}$:

   • $2\frac{1}{4} = 2 + \frac{1}{4} = \frac{9}{4}$.
   • $\frac{2}{3} \times \frac{9}{4} = \frac{18}{12} \times \frac{9}{4} = \frac{18 \times 9}{12 \times 4} = \frac{162}{48} = \frac{27}{8}$.

3. Subtract the result from step 2 from $2\frac{3}{5}$:

   • $2\frac{3}{5} = 2 + \frac{3}{5} = \frac{13}{5}$.
   • $\frac{13}{5} - \frac{27}{8} = \frac{104}{40} - \frac{135}{40} = -\frac{31}{40}$.

4. Now subtract the result from step 3 from $5\frac{1}{6}$:

   • $5\frac{1}{6} = 5 + \frac{1}{6} = \frac{31}{6}$.
   • $\frac{31}{6} - \left(-\frac{31}{40}\right) = \frac{31}{6} + \frac{31}{40} = \frac{620 + 93}{120} = \frac{713}{120} = 5\frac{113}{120}$.

So, the simplified result of the expression is $5\frac{113}{120}$.