In two of previous lessons, we saw how to add and subtract two fraction with like or unlike denominators. But what about two mixed fractions? How to add and subtract it?
Before we see how we do it, you first need to know how to convert a mixed fraction into an improper fraction. Then I advise you to go to this lesson first if you are not familiar with how to convert mixed fraction to improper fraction.
There are two different methods to add and subtract mixed fractions.
Method 1: by converting all mixed fractions to improper fractions
Step 1: Convert all mixed numbers into improper fractions.
Step 2: Check! Do they have a common denominator? If not, find a common denominator.
Step 3: When necessary, create equivalent fractions.
Step 4: Add or subtract the numerators and keep the denominator the same.
Step 5: If the answer is an improper form, reduce the fraction into a mixed number.
The following examples showing you hwo to apply the steps above.
Add the mixed frations:
For the mixed fraction: :
For the mixed fraction: :
The common denominator is the lowest common multiple of 7 and 4.
By listing the multiples of 7 and 4, we fin that .
Step 5: Reduce the resulting fraction into a mixed fraction
Divide 165 by 28
Quotient = 5 (then 5 is the whole part)
Remainder = 25 (then is the fraction part)
Thus, the final answer is:
hence the answer is final is:
Add the mixed frations:
For the mixed fraction: :
For the mixed fraction: :
The common denominator is the lowest common multiple of 3 and 4.
By listing the multiples of 7 and 4, we fin that .
Step 5: Reduce the resulting fraction into a mixed fraction
Divide 191 by 12
Quotient = 15 (then 15 is the whole part)
Remainder = 11 (then is the fraction part)
Thus, the final answer is:
hence the answer is final is:
Method 2: by adding or subtracting the whole number parts.
Step 1: Add or subtract the whole number part.
Step 2: Check! Does the fraction part share a common denominator? If not, find one.
Step 3: When necessary, create equivalent fractions.
Step 4: Add or subtract the numerators of the fraction part and keep the denominator the same.
Step 5: If the answer is an improper form, reduce the fraction into a mixed number.
The following examples showing you hwo to apply the steps above.
Add the mixed frations:
The lowest common multiple of 5 and 8 is 40. Hence, the common denominator is 40.
The fraction is reduced to its lowest term.
Hence the final answer is:
Add the mixed frations:
The lowest common multiple of 3 and 6 is 6. Hence, the common denominator is 6.
The fraction isn't reduced to its lowest term. We must convert it to the mixed fraction.
By Applying the steps in this lesson, we get:
The new whole part is :
Hence the final answer is: