
(-1/8+1/5)-(4.8-4.9)-0.05


Ответы на вопрос

1) (-1/8) + 1/5 = (-5/40) + 8/40 = 3/40 = 0,075
2) 4,8 - 4,9 = -0,1
3) 0,075 - (-0,1) = 0,075 + 0,1 = 0,175
4) 0,175 - 0,05 = 0,17



To simplify the expression (-1/8 + 1/5) - (4.8 - 4.9) - 0.05, we'll follow the order of operations (PEMDAS/BODMAS) and perform the calculations step by step:
First, let's simplify the terms within the parentheses: (-1/8 + 1/5) = (-5/40 + 8/40) = (8/40 - 5/40) = 3/40
Next, simplify the subtraction inside the other set of parentheses: (4.8 - 4.9) = -0.1
Now, substitute the simplified expressions back into the original expression: (3/40) - (-0.1) - 0.05
To add or subtract fractions, they need a common denominator. In this case, we can multiply the fractions by 40/40 to obtain a common denominator: (3/40) - (-0.1) - 0.05 = (3/40) + 0.1 - 0.05
Next, convert the decimal numbers into fractions with a denominator of 40: (3/40) + (40/40) * 0.1 - (40/40) * 0.05 = (3/40) + (40/40) * (1/10) - (40/40) * (1/20)
Now, simplify the fractions: (3/40) + (40/40) * (1/10) - (40/40) * (1/20) = (3/40) + (40/40) * (1/10) - (40/40) * (1/20) = (3/40) + (40/400) - (40/800) = (3/40) + (1/10) - (1/20)
To add fractions, they must have a common denominator, which in this case is 40: (3/40) + (1/10) - (1/20) = (3/40) + (4/40) - (2/40) = (3/40 + 4/40 - 2/40) = (3 + 4 - 2)/40 = 5/40 = 1/8
Therefore, the simplified value of the expression (-1/8 + 1/5) - (4.8 - 4.9) - 0.05 is 1/8.


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