Solving 1 1/4 ÷ 1 2/5
This article will guide you through the steps of dividing the mixed numbers 1 1/4 by 1 2/5.
Step 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.
Step 2: Invert the second fraction and multiply.
Dividing by a fraction is the same as multiplying by its inverse. The inverse of 7/5 is 5/7. Therefore, our problem becomes:
5/4 * 5/7
Step 3: Multiply the numerators and denominators.
(5 * 5) / (4 * 7) = 25/28
Step 4: Simplify the result (if possible).
The fraction 25/28 is already in its simplest form.
Conclusion
Therefore, 1 1/4 ÷ 1 2/5 = 25/28.