What is −4 5/11 − 2 4/11
wrong
Apologies for the mistake. Let's correct the subtraction.
To subtract −4 5/11 from −2 4/11, we need to find the difference between the two numbers.
First, let's convert the mixed numbers to improper fractions:
−4 5/11 = - 49/11
−2 4/11 = - 26/11
Now, subtract the two fractions:
- 26/11 - (- 49/11) = - 26/11 + 49/11 = 23/11
Therefore, −4 5/11 − 2 4/11 is equal to 23/11.
To subtract mixed numbers, we need to convert them to improper fractions. Let's start with the first mixed number:
-4 5/11 = -4 + 5/11
To convert it to an improper fraction, we multiply the whole number (-4) by the fraction's denominator (11) and add the numerator (5). This gives us (-4 * 11 + 5)/11 = (-44 + 5)/11 = -39/11.
Now let's work with the second mixed number:
-2 4/11 = -2 + 4/11
To convert it to an improper fraction, we multiply the whole number (-2) by the fraction's denominator (11) and add the numerator (4). This gives us (-2 * 11 + 4)/11 = (-22 + 4)/11 = -18/11.
Now we can subtract the two improper fractions:
(-39/11) - (-18/11)
To subtract fractions, we need a common denominator. In this case, the common denominator is 11.
So, (-39/11) - (-18/11) = (-39 - (-18))/11 = (-39 + 18)/11 = -21/11.
Therefore, -4 5/11 - 2 4/11 = -21/11.
To subtract mixed numbers like −4 5/11 − 2 4/11, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
Using the formula:
improper fraction = (whole number * denominator) + numerator.
For −4 5/11:
Improper fraction = (-4 * 11) + 5 = -44 + 5 = -39/11.
For −2 4/11:
Improper fraction = (-2 * 11) + 4 = -22 + 4 = -18/11.
Step 2: Subtract the fractions.
Subtract the numerators while keeping the denominator the same.
-39/11 - (-18/11) = -39/11 + 18/11
Step 3: Perform the subtraction.
Simply subtract the numerators: -39 + 18 = -21.
The denominator remains the same: 11.
So, the result is -21/11.
To subtract −4 5/11 from −2 4/11, we need to find the difference between the two numbers.
First, let's convert the mixed numbers to improper fractions:
−4 5/11 = -49/11
−2 4/11 = -26/11
Now, subtract the two fractions:
-49/11 - (-26/11) = -49/11 + 26/11 = -23/11
Therefore, −4 5/11 − 2 4/11 is equal to -23/11.