1 1/4 Divided By 2 As A Fraction

2 min read Jun 17, 2024
1 1/4 Divided By 2 As A Fraction

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.