1 1/4 / 1 2/5 In Fraction

2 min read Jun 17, 2024
1 1/4 / 1 2/5 In Fraction

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:

  1. 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.
  2. 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
  3. Multiply the numerators and denominators:

    • (5 × 5) / (4 × 7) = 25/28
  4. Simplify if possible:

    • In this case, 25/28 cannot be simplified further.

The Answer

Therefore, 1 1/4 ÷ 1 2/5 = 25/28.