Dividing Mixed Numbers: 1 1/4 ÷ 1 2/5
This article will guide you through the process of dividing mixed numbers, specifically 1 1/4 ÷ 1 2/5.
Understanding the Process
Dividing mixed numbers involves a few steps:

Convert mixed numbers to improper fractions:
 1 1/4: Multiply the whole number (1) by the denominator (4) and add the numerator (1). Keep the same denominator. This gives us 5/4.
 1 2/5: Multiply the whole number (1) by the denominator (5) and add the numerator (2). Keep the same denominator. This gives us 7/5.

Flip the second fraction and multiply:
 Instead of dividing by 7/5, we multiply by its reciprocal, 5/7.
 Our equation now looks like this: 5/4 × 5/7

Multiply the numerators and denominators:
 (5 × 5) / (4 × 7) = 25/28

Simplify if possible:
 In this case, 25/28 cannot be simplified further.
The Answer
Therefore, 1 1/4 ÷ 1 2/5 = 25/28.