Question

-(-20/27+3/8)+(-5,5/8+4,7/27);​

Answer 1

Ответ:

-(-79/216)+(-5/8+28/27)=79/216+89/216=7/9

Answer 2

Let's simplify the expression step by step:

1. Start with the first part: -(-20/27 + 3/8)

   To simplify the negative sign in front of the parentheses, you can think of it as multiplying by -1:

   -1 * (-20/27 + 3/8)

2. Now, let's find a common denominator for the fractions in the parentheses, which is 216 (LCM of 27 and 8):

   (-1 * (-20/27 * 8/8 + 3/8 * 27/27))

3. Perform the multiplication inside the parentheses:

   (-1 * (-160/216 + 81/216))

4. Combine the fractions inside the parentheses:

   (-1 * (-79/216))

5. Finally, remove the negative sign in front:

   79/216

So, the first part simplifies to 79/216.

Now, let's move on to the second part: -5.5/8 + 4.7/27

To add or subtract fractions, you need a common denominator. The common denominator for 8 and 27 is 216 (LCM of 8 and 27):

(-5.5/8 * 27/27 + 4.7/27 * 8/8)

Now, perform the multiplication inside the parentheses:

(-148.5/216 + 37.6/216)

Combine the fractions:

(-110.9/216)

Now, let's add the two simplified parts together:

79/216 + (-110.9/216)

To add fractions, they must have the same denominator, which they do. Now, add the numerators:

(79 - 110.9) / 216

Now, subtract the numerators:

-31.9 / 216

This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 31:

(-31.9 / 31) / (216 / 31)

Now, simplify the fraction:

-1.032258064516129 / 7

So, the final simplified result of the expression is approximately:

-0.14746543778801814