Question

5*3/7-(2*1/2+1*1/3):1/6

Answer 1

1) 2*1/2+1*1/3=1+1/3=4/3;
2) 4/3:1/6=6*4/3=8;
3) 5*3/7-8=15/7-14=(15-56)/7=-41/7=-5 6/7

Ответ: -5 6/7.

Answer 2

Let's break down the expression step by step:

1. 5 * 3 = 15
2. 15 / 7 ≈ 2.142857142857143 (rounded to 15 decimal places)
3. 2 * 1/2 = 1
4. 1 * 1/3 = 1/3
5. 1/6 = 1/6

Now, let's put all the values together:

2.142857142857143 - (1 + 1/3) / (1/6)

Next, let's simplify the expression inside the parentheses:

1 + 1/3 = 4/3

Now the expression becomes:

2.142857142857143 - 4/3 / (1/6)

To divide by a fraction, we can multiply by its reciprocal:

2.142857142857143 - 4/3 * 6/1

Now, let's calculate the multiplication:

2.142857142857143 - 24/3

Now, convert 24/3 to its simplest form:

2.142857142857143 - 8

Finally, subtract:

2.142857142857143 - 8 ≈ -5.857142857142857 (rounded to 15 decimal places)

So, the result of the expression is approximately -5.857142857142857.