Dividing Fractions: 1 1/4 Divided by 1/2
Dividing fractions can seem tricky, but it's actually quite straightforward once you understand the process. Let's break down how to solve 1 1/4 divided by 1/2.
1. Convert Mixed Number to a Fraction
First, we need to convert the mixed number 1 1/4 into an improper fraction. To do this, multiply the whole number (1) by the denominator (4), then add the numerator (1). Keep the same denominator:
(1 * 4) + 1 = 5 1 1/4 = 5/4
2. Flip the Second Fraction (Reciprocal)
The next step is to find the reciprocal of the second fraction 1/2. To do this, simply flip the numerator and denominator:
1/2 becomes 2/1
3. Multiply the Fractions
Now, instead of dividing, we will multiply the first fraction (5/4) by the reciprocal of the second fraction (2/1):
5/4 * 2/1
4. Multiply Across
Multiply the numerators together and the denominators together:
(5 * 2) / (4 * 1) = 10/4
5. Simplify the Result
Finally, simplify the fraction to its lowest terms. Both 10 and 4 are divisible by 2:
10/4 = 5/2
Converting Back to a Mixed Number
If you prefer your answer as a mixed number, convert 5/2 back to a mixed number:
- 2 goes into 5 two times (2 * 2 = 4)
- The remainder is 1 (5 - 4 = 1)
- 5/2 = 2 1/2
Therefore, 1 1/4 divided by 1/2 is equal to 5/2 or 2 1/2.