Question

3 7,30 - (4 1,6 - 1 2/15) + (4 5,9 - 4 5,9)=​

Answer 1

3 7/30 - (4 1/6 - 1 2/15) + (4 5/9 - 4 5/9) = 1/5

1) 4 1/6 - 1 2/15 = 4 5/30 - 1 4/30 = 3 1/30

2) 4 5/9 - 4 5/9 = 0

3) 3 7/30 - 3 1/30 = 6/30 = 1/5 - сократили на 6

4) 1/5 + 0 = 1/5

Ответ: 1/5.

Answer 2

Let's break down the expression step by step:

1. Start with the first part: 3 7/30.
2. Next, subtract the second part: 4 1/6 - 1 2/15.
3. Finally, add the third part: 4 5/9 - 4 5/9.

Let's calculate each part:

1. 3 7/30 is already in its simplest form.

2. For the second part, we need to subtract the fractions:

   4 1/6 - 1 2/15

   First, convert the mixed numbers to improper fractions: = (4 * 6 + 1) / 6 - (1 * 15 + 2) / 15 = (24 + 1) / 6 - (15 + 2) / 15 = 25/6 - 17/15

   To subtract these fractions, we need a common denominator, which is 30: = (25/6) * (5/5) - (17/15) * (2/2) = (125/30) - (34/30)

   Now, subtract the fractions: = (125 - 34) / 30 = 91/30

3. For the third part, we have:

   4 5/9 - 4 5/9

   These two fractions are identical, so the result is simply 0.

Now, we can put it all together:

3 7/30 - 91/30 + 0

Now, subtract the fractions:

(3 + 7/30) - (91/30) + 0

Combine the whole numbers:

(3 - 91/30) + 0

To subtract the fractions, we need a common denominator, which is 30:

(90/30 - 91/30) + 0

Now, subtract the fractions:

(-1/30) + 0

So, the final result is:

-1/30