Dividing Improper Fractions with Different Denominators: Step-by-Step Example

Worked example

Divide 7/4 by 3/2

Step 1: Keep the first fraction as it is: 7/4

Step 2: Change the division sign to multiplication

Step 3: Flip the second fraction (find its reciprocal): 2/3

Step 4: Multiply the numerators: 7 × 2 = 14

Step 5: Multiply the denominators: 4 × 3 = 12

Step 6: Write the new fraction: 14/12

Step 7: Simplify the fraction by dividing numerator and denominator by 2: 7/6

The correct answer is 7/6.