Addition of Mixed Fractions

Addition (Same Denominators) / Like Fractions

Addition (Different Denominators) / Unlike Fractions

Addition (Whole Number and Fraction)

Addition (Mixed Fractions)

Before you study addition of mixed fractions, you are advised to read How to convert mixed fraction to improper fraction ? How to add fractions of same denominators ? Addition of Mixed Fractions can be done by two separate methods : Method 1 = Conversion of Mixed Fraction into Improper Fraction. Method 2 = Addition of Whole Numbers and Fractions separately. Method 1 = Conversion of Mixed Fraction into Improper Fraction. Lets add the below two mixed fractions by using method 1 1 2 5 + 1 4 5 First, convert both these fractions into improper fractions and we get 7 5 + 9 5 Now, add the improper fraction and we get: 7 + 9 5 = 16 5 Now, convert the improper fraction into mixed fraction 16 5 = 3 1 5 Method 2 = Addition of Whole Numbers and Fractions separately. Lets add the below two mixed fractions by using method 2 1 2 5 + 1 4 5 Add Whole Numbers and we get = 1 + 1 = 2 Now add fractions 2 5 + 4 5 Here, the denominators of both the fractions are same, so we apply -- Addition of Fraction with Same Denominator { How to add fractions of same denominators ? } 2 + 4 5 = 6 5 Now, Add Whole Number and Fraction and we get: (Topic available above) 2 + 6 5 or we can also write it as 2 1 + 6 5 {(2 × 5) + (6 × 1) } 5 {10 + 6} 5 = 16 5 Now, convert the improper fraction into mixed fraction 16 5 = 3 1 5