Subtract fractions and decimals practice. What is -4 5/11 -2 4/11.
To subtract mixed numbers, we need to convert them into improper fractions.
First, let's convert -4 5/11 into an improper fraction.
To convert the whole number -4 into a fraction, we can multiply it by the denominator of the fraction, which is 11.
-4 * 11 = -44
Now, we add the numerator (5) to the result:
-44 + 5 = -39
Therefore, -4 5/11 can be written as -39/11.
Next, let's convert -2 4/11 into an improper fraction.
To convert the whole number -2 into a fraction, we can multiply it by the denominator of the fraction, which is 11.
-2 * 11 = -22
Now, we add the numerator (4) to the result:
-22 + 4 = -18
Therefore, -2 4/11 can be written as -18/11.
Now we can subtract the fractions:
-39/11 - (-18/11)
To subtract fractions, we need a common denominator, which is already 11 in this case.
Thus, we can simply subtract the numerators:
(-39) - (-18) = -39 + 18 = -21
Therefore, -4 5/11 -2 4/11 = -21/11 or -1 10/11.
To subtract the given fractions and decimals, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
Convert -4 5/11 to an improper fraction:
-4 5/11 = -47/11
Convert -2 4/11 to an improper fraction:
-2 4/11 = -26/11
Step 2: Subtract the fractions.
-47/11 - 26/11 = (-47 - 26)/11 = -73/11
Step 3: Simplify the fraction, if needed.
The fraction -73/11 cannot be simplified further.
Step 4: Convert the improper fraction back to a mixed number.
Divide the numerator (-73) by the denominator (11):
-73 ÷ 11 = -6 remainder 7
The result is -6 and 7/11.
Therefore, -4 5/11 - 2 4/11 = -6 and 7/11.