Question

-8,3-6 1/3 -8,3-(-2 4/15)

Answer 1

$-8.3-6 \frac{1}{3} = - (8 \frac{3}{10} + 6 \frac{1}{3}) = \\ = - (14 \frac{9 +10 }{30} ) = - 14 \frac{19 }{30} \\ \\ -8.3-(-2 \frac{4}{15} ) = - 8 \frac{3}{10} + 2 \frac{4}{15} = \\ = - 6 \frac{9 - 8}{30} = - 6 \frac{1}{30}$

Answer 2

Let's simplify the expression step by step:

1. -8,3 - 6 1/3: To perform this calculation, we need to subtract 6 1/3 from -8.3. To do that, let's convert 6 1/3 to an improper fraction: 6 1/3 = (6 * 3 + 1) / 3 = 19/3

Now, the expression becomes: -8.3 - 19/3

To subtract fractions, we need a common denominator. The common denominator for 3 and 3 is 3. Let's convert -8.3 to a fraction with the denominator 3: -8.3 = (-8 * 3 - 1) / 3 = -25/3

Now, the expression is: -25/3 - 19/3

Subtracting the fractions: (-25 - 19) / 3 = -44/3

2. -8,3 - (-2 4/15): To subtract the second expression, we need to change the sign and then add it:

-2 4/15 can be converted to an improper fraction as follows: -2 4/15 = (-2 * 15 + 4) / 15 = -34/15

Now, the expression becomes: -8.3 + 34/15

To add fractions, we need a common denominator. The common denominator for 3 and 15 is 15. Let's convert -8.3 to a fraction with the denominator 15: -8.3 = (-8 * 15 - 3) / 15 = -123/15

Now, the expression is: -123/15 + 34/15

Adding the fractions: (-123 + 34) / 15 = -89/15

So, the final result is: -44/3 and -89/15