Question

2 : 2 2/3 + 1 4/5 * 3 1/3 - 2 5/6 = ?

Answer 1

$2 \div 2 \frac{2}{3} + 1 \frac{4}{5} \times 3 \frac{1}{3} - 2 \frac{5}{6}$

решаем в строчку :

$\frac{3}{4} + 6 - 2 \frac{5}{6} = 6 \frac{3}{4} - 2 \frac{5}{6} = 3 \frac{11}{12} .$

Ответ :

$3 \frac{11}{12} .$

Answer 2

To solve the given expression, follow these steps:

Step 1: Convert all mixed fractions into improper fractions. Step 2: Perform the multiplication and division operations from left to right. Step 3: Perform the addition and subtraction operations from left to right.

Let's start solving:

Step 1: Convert mixed fractions to improper fractions: 2 2/3 = (2 * 3 + 2)/3 = 8/3 1 4/5 = (1 * 5 + 4)/5 = 9/5 3 1/3 = (3 * 3 + 1)/3 = 10/3 2 5/6 = (2 * 6 + 5)/6 = 17/6

Now the expression becomes: 8/3 + 9/5 * 10/3 - 17/6

Step 2: Perform the multiplication and division operations from left to right:

9/5 * 10/3 = (9 * 10)/(5 * 3) = 90/15 = 6

Now the expression becomes: 8/3 + 6 - 17/6

Step 3: Perform the addition and subtraction operations from left to right:

8/3 + 6 = (8 + 18)/3 = 26/3

Now the expression becomes: 26/3 - 17/6

To subtract fractions, we need to find a common denominator, which is 6:

(26/3) * (2/2) = 52/6

Now the expression becomes: 52/6 - 17/6

Finally, subtract the fractions:

52/6 - 17/6 = (52 - 17)/6 = 35/6

So, the final answer is 35/6 or 5 5/6.