Question

(2 1/2 * 8/10 - 5 2/3 : 5 1/10) : 2/3 - 1/3

Answer 1

Ответ:

1

Пошаговое объяснение:

1. 5/2 * 8/4= 2
2. 17/3 * 10/51 = 1 1/9
3. 2 - 1 1/9 = 8/9
4. 8/9 * 3/2 = 1 1/3
5. 1 1/3 - 1/3 = 1

Answer 2

Let's break down the expression step by step:

1. First, simplify the fractions and mixed numbers:

   • $2 \frac{1}{2} = \frac{5}{2}$
   • $5 \frac{2}{3} = \frac{17}{3}$
   • $5 \frac{1}{10} = \frac{51}{10}$

2. Perform the multiplications and divisions inside the parentheses:

   • $\frac{5}{2} \cdot \frac{8}{10} = \frac{20}{20} = 1$
   • $\frac{17}{3} \div \frac{51}{10} = \frac{170}{153}$

3. Combine the results:

   • $\left(1 - \frac{170}{153}\right) : \frac{2}{3} - \frac{1}{3}$

4. Continue with the subtraction and division:

   • $1 - \frac{170}{153} = \frac{153}{153} - \frac{170}{153} = \frac{-17}{153}$
   • $\frac{-17}{153} : \frac{2}{3} - \frac{1}{3}$

5. Divide and subtract again:

   • $\frac{-17}{153} \div \frac{2}{3} = \frac{-17}{153} \cdot \frac{3}{2} = \frac{-51}{306} = -\frac{17}{102}$
   • $-\frac{17}{102} - \frac{1}{3} = -\frac{17}{102} - \frac{34}{102} = -\frac{51}{102} = -\frac{1}{2}$

So, the final result of the expression is $-\frac{1}{2}$.