-12 2/3 - (-8 5/6)
To subtract two mixed numbers, you need to convert them into improper fractions first.
-12 2/3 can be written as -38/3.
-8 5/6 can be written as -53/6.
Now, subtracting -38/3 from -53/6:
-53/6 - (-38/3)
To subtract fractions, you need to find a common denominator, which in this case is 6.
-53/6 + 76/6
Now that the denominators are the same, you can combine the numerators:
= (76 - 53)/6
= 23/6
So, -12 2/3 - (-8 5/6) = 23/6.
simplified ?
To simplify 23/6, you need to divide the numerator by the denominator and express the result in simplest form.
23 divided by 6 is 3 with a remainder of 5, which can be represented as a mixed number: 3 5/6.
Therefore, the simplified form of 23/6 is 3 5/6.
negative or positive?
In the original expression, it was -12 2/3 - (-8 5/6).
Since the first number -12 2/3 is negative, and the second number -8 5/6 is subtracted (indicated by the minus sign before the parentheses), the result will be negative.
Therefore, the simplified form of -12 2/3 - (-8 5/6) is -3 5/6.
-22 - 1 1/2
To subtract two mixed numbers, you need to convert them into improper fractions first.
-22 can be written as -22/1.
1 1/2 can be written as 3/2.
Now, subtracting 3/2 from -22/1:
-22/1 - 3/2
To subtract fractions, you need to find a common denominator, which in this case is 2.
-22/1 - 3/2 = -44/2 - 3/2
Now that the denominators are the same, you can combine the numerators:
= (-44 - 3)/2
= -47/2
So, -22 - 1 1/2 = -47/2.
simplified?
To simplify -47/2, you can express it as a mixed number or reduce it further if possible.
Since -47 is an odd number and 2 is an even number, we cannot divide both numbers evenly.
Therefore, the simplified form of -47/2 is -23 1/2.