
(7/10+3/5)-(1/6+3/3)2/3-(1/20+2/9)-5/181/3+1/4+1/5+1/6+1/7


Ответы на вопрос

Ответ:
1)(7/89+3/2)-(1+9)
2)(2/4-1/30)-(7/9-2/5)
3)(1/5-7/5)+1/5+1/7+1/6
Пошаговое объяснение:
вооот првильно



To simplify the expression, let's break it down step by step:
(7/10 + 3/5):
To add these fractions, we need to find a common denominator, which is 10 in this case.
(7/10 + 3/5) = (7/10 + 6/10) = 13/10.
(1/6 + 3/3):
(1/6 + 3/3) = (1/6 + 1) = 7/6.
(2/3 - (1/20 + 2/9)):
First, add the fractions inside the parentheses:
(1/20 + 2/9) = (9/180 + 40/180) = 49/180.
Now, subtract this value from 2/3:
(2/3 - 49/180) = (80/120 - 49/180) = (40/60 - 49/180) = (40/60 - 7/60) = 33/60.
Simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:
(33/60) ÷ 3 = (11/20).
-5/18.
(1/3 + 1/4 + 1/5 + 1/6 + 1/7):
To add these fractions, find a common denominator, which is 420 in this case.
(1/3 + 1/4 + 1/5 + 1/6 + 1/7) = (140/420 + 105/420 + 84/420 + 70/420 + 60/420) = (459/420).
Now, put it all together:
(13/10) - (7/6) - (11/20) - (5/18) + (459/420)
To subtract fractions, they need a common denominator, which in this case is 420.
(546/420) - (490/420) - (231/420) - (350/420) + (459/420)
Now, add and subtract the fractions:
(546 - 490 - 231 - 350 + 459) / 420
(434/420) / 420
Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 14:
(31/30) / 14
Now, divide the fractions:
(31/30) ÷ 14 = 31 / (30 * 14) = 31 / 420
So, the simplified expression is 31/420.


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