Question

2/3*8+2/8*13+2/13*18​

Answer 1

$\frac{2}{3} \times 8 + \frac{2}{8} \times 13 + \frac{2}{13} \times 18 \\ \frac{16}{3} + \frac{13}{4} + \frac{36}{13} \\ \frac{1771}{156} = 11 \frac{55}{156}$

Answer 2

Пошаговое объяснение:

1)2/3*8=16/3=5 1/3

2)2/8*13=26/8=3 2/8=3 1/4

3)2/13*18=36/13=2 10/13

4)5 1/3+3 1/4=8 7/12

5)8 7/12+2 10/13=10 211/156=11 55/156

Ответ:11 55/156

Вроде бы все правильно)

Answer 3

To solve the expression, follow the order of operations (PEMDAS/BODMAS):

1. Perform multiplication and division from left to right.
2. Then, perform addition from left to right.

Let's calculate the expression step-by-step:

Step 1: 2/3 * 8 = 16/3 (or 5.3333... rounded to four decimal places) Step 2: 2/8 * 13 = 26/8 (or 3.25) Step 3: 2/13 * 18 = 36/13 (or 2.7692... rounded to four decimal places)

Now, we have: 16/3 + 26/8 + 36/13

To add these fractions together, we need to find a common denominator.

The least common multiple of 3, 8, and 13 is 3 * 8 * 13 = 312.

Now, we can convert each fraction to have a denominator of 312:

(16/3) * (104/104) = 1664/312 (26/8) * (39/39) = 1014/312 (36/13) * (24/24) = 864/312

Now, we can add them together:

1664/312 + 1014/312 + 864/312 = (1664 + 1014 + 864) / 312 = 3542 / 312

Finally, we can simplify the fraction:

3542 ÷ 2 = 1771 312 ÷ 2 = 156

The simplified fraction is:

1771/156

So, the result of the expression is approximately 11.3641, rounded to four decimal places.