А)-1,7-(-8)= б)5/9-2= в)-7 7/24 - 4 13/16= г)-3 3/14-(-2 5/6)=
Ответы на вопрос
Ответ:
Пошаговое объяснение:
а. 6.3
б.-13/9
в.-127/24
г.43/42
а) -1,7 - (-8) means subtracting a negative number from a negative number. When subtracting a negative number, it's the same as adding a positive number. So, in this case, -1,7 - (-8) becomes -1,7 + 8.
Now, to add -1,7 and 8, we align the decimal point and add the numbers:
-1,7 + 8,0 ------- 6,3
Therefore, -1,7 - (-8) = 6,3.
b) 5/9 - 2 means subtracting 2 from 5/9.
To subtract fractions, we need to have the same denominator. In this case, the denominator is already the same. So, we can subtract the numerators:
5/9 - 2 = 5/9 - 18/9 = (5 - 18)/9 = -13/9.
Therefore, 5/9 - 2 = -13/9.
c) -7 + 7/24 - 4 + 13/16 means adding and subtracting mixed numbers and fractions.
First, let's combine the whole numbers:
-7 - 4 = -11.
Now let's combine the fractions:
7/24 + 13/16.
To add fractions, we need to have the same denominator. Let's find a common denominator:
The least common multiple of 24 and 16 is 48.
Now, let's convert 7/24 and 13/16 to have the same denominator of 48:
7/24 = (7 * 2)/(24 * 2) = 14/48.
13/16 = (13 * 3)/(16 * 3) = 39/48.
Now we can add the fractions:
14/48 + 39/48 = 53/48.
Now let's combine the whole number and the fraction:
-11 + 53/48.
To combine the whole number and the fraction, we need to have the same denominator. Let's convert -11 to have the same denominator of 48:
-11 = (-11 * 48)/48 = -528/48.
Now we can add the whole number and the fraction:
-528/48 + 53/48 = (-528 + 53)/48 = -475/48.
Therefore, -7 + 7/24 - 4 + 13/16 = -475/48.
d) -3 + 3/14 - (-2 + 5/6) means subtracting mixed numbers and fractions.
First, let's simplify -(-2 + 5/6):
-(-2 + 5/6) = -(-2) - 5/6 = 2 - 5/6.
Now let's combine the whole numbers:
-3 + 2 = -1.
Now, let's combine the fractions:
5/6.
Therefore, -3 + 3/14 - (-2 + 5/6) = -1 + 3/14 - 5/6.
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