Dividing Mixed Numbers with the Same Denominator: Step-by-Step Example

Worked example

2 1/5 ÷ 1 2/5

Step 1: Change the mixed numbers to improper fractions. 2 1/5 = 11/5 1 2/5 = 7/5

Step 2: Divide the fractions by flipping the second one and multiplying.
11/5 ÷ 7/5 = 11/5 × 5/7

Step 3: Multiply the top numbers and the bottom numbers.
11 × 5 = 55
5 × 7 = 35
So, 55/35

Step 4: Simplify the answer. 55/35 = 11/7

Step 5: Change back to a mixed number. 11 ÷ 7 = 1 remainder 4 So, 1 4/7

The correct answer is 1 4/7.