Dividing a Mixed Number by a Whole Number: 1 1/4 ÷ 2
This article will guide you through dividing the mixed number 1 1/4 by the whole number 2.
1. Convert the mixed number to an improper fraction:
- Multiply the denominator (4) by the whole number (1): 4 * 1 = 4
- Add the numerator (1): 4 + 1 = 5
- Keep the same denominator (4): 1 1/4 is equivalent to 5/4.
2. Rewrite the division problem:
Now we have the problem 5/4 ÷ 2.
3. Convert the whole number to a fraction:
Any whole number can be written as a fraction by putting it over 1. So, 2 is equivalent to 2/1.
4. Invert the second fraction and multiply:
Dividing by a fraction is the same as multiplying by its inverse. The inverse of 2/1 is 1/2.
Therefore, our problem becomes: (5/4) * (1/2)
5. Multiply the numerators and the denominators:
- 5 * 1 = 5
- 4 * 2 = 8
This gives us the answer 5/8.
Conclusion:
Therefore, 1 1/4 divided by 2 is equal to 5/8.