
-1/5--2/5; 5/7-5/7; - 7/9-(-8/9); 1/16-3/4; -2/3-(-1/2); -15/18-(-1/24)


Ответы на вопрос

Ответ:
-1/5--2/5=-3/5
5/7-5/7=0
- 7/9-(-8/9)= - 7/9+8/9=1/9
1/16-3/4=1-12/16=-11/16
-2/3-(-1/2)=-2/3+1/2=-4+3/6=-1/6
-15/18-(-1/24)=-15/18+1/24=-60+3/72=-57/72=-19/24
Пошаговое объяснение:



Let's simplify each of these expressions:
-1/5 - (-2/5): = (-1/5) + (2/5) = (-1 + 2)/5 = 1/5
5/7 - 5/7: = (5/7) - (5/7) = 0
-7/9 - (-8/9): = (-7/9) + (8/9) = (8 - 7)/9 = 1/9
1/16 - 3/4: To subtract these fractions, we need a common denominator, which is 16 in this case. So, we'll convert 3/4 to have a denominator of 16. = (1/16) - (12/16) = (1 - 12)/16 = -11/16
-2/3 - (-1/2): = (-2/3) + (1/2) To add these fractions, we need a common denominator, which is 6 in this case. So, we'll convert 1/2 to have a denominator of 6. = (-2/3) + (3/6) = (-2/3) + (1/2) Now, we have a common denominator, so we can add the fractions: = (-4/6) + (3/6) = (-4 + 3)/6 = -1/6
-15/18 - (-1/24): = (-15/18) + (1/24) To add these fractions, we need a common denominator, which is 72 in this case. So, we'll convert both fractions to have a denominator of 72. = (-45/72) + (3/72) = (-45 + 3)/72 = -42/72 To simplify further, we can divide both the numerator and denominator by their greatest common divisor, which is 6: = (-7/12)
So, the results are:
- 1/5
- 0
- 1/9
- -11/16
- -1/6
- -7/12


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