Question

-0,2+1/6+(-8 1/15) ; 6,7+(2 1/3-9 2/5)

Answer 1

Решение на фото................

Answer 2

To evaluate the given expressions, let's start with the first one:

1. -0.2 + 1/6 + (-8 1/15)

To simplify this expression, we'll convert the mixed number (-8 1/15) to an improper fraction:

-8 1/15 = -(8 + 1/15) = - (8 + 1/15) = - (121/15)

Now the expression becomes:

-0.2 + 1/6 - (121/15)

To add the fractions, we need a common denominator. The common denominator for 6 and 15 is 30.

-0.2 = -0.2 * (30/30) = -6/30 1/6 = 5/30

Now the expression becomes:

-6/30 + 5/30 - (121/15)

Now, we can combine the fractions:

(-6 + 5)/30 - (121/15) = -1/30 - (121/15)

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

-1/30 = -1/30 * (1/1) = -1/30 (121/15) = (121/15) * (2/2) = 242/30

Now the expression becomes:

-1/30 - 242/30 = -243/30

The simplified result is: -243/30.

Now, let's move on to the second expression:

2. 6.7 + (2 1/3 - 9 2/5)

We'll convert the mixed numbers to improper fractions:

2 1/3 = 7/3 9 2/5 = 47/5

Now the expression becomes:

6.7 + (7/3 - 47/5)

To add the fractions, we need a common denominator, which is 15:

(7/3) = (7/3) * (5/5) = 35/15 (47/5) = (47/5) * (3/3) = 141/15

Now the expression becomes:

6.7 + (35/15 - 141/15)

Now, we can combine the fractions:

(35 - 141)/15 = -106/15

The simplified result is: -106/15.

So, the final results are:

1. -0.2 + 1/6 + (-8 1/15) = -243/30
2. 6.7 + (2 1/3 - 9 2/5) = -106/15