What is −4 5/11 − 2 4/11?
To subtract mixed numbers, we need to convert both numbers to improper fractions and then subtract.
The first mixed number, -4 5/11, can be written as an improper fraction by multiplying the whole number (-4) by the denominator (11), and then adding the numerator (5). This gives us -49/11.
The second mixed number, -2 4/11, can be written as an improper fraction by multiplying the whole number (-2) by the denominator (11), and then adding the numerator (4). This gives us -26/11.
Now, we can subtract these two improper fractions:
-49/11 - (-26/11)
To subtract fractions, we need to have a common denominator. In this case, both fractions already have a denominator of 11, so we can proceed:
-49/11 + 26/11
Now, we can subtract the numerators and keep the common denominator:
(-49 + 26)/11
This simplifies to:
-23/11
Therefore, -4 5/11 - 2 4/11 is equal to -23/11.