Dividing Fractions: 1 1/6 Divided by 1/4
Dividing fractions can seem tricky, but it's actually quite straightforward once you understand the process. Let's break down how to solve 1 1/6 divided by 1/4 step by step.
Step 1: Convert Mixed Number to an Improper Fraction
First, we need to convert the mixed number 1 1/6 into an improper fraction.
- Multiply the whole number (1) by the denominator of the fraction (6): 1 * 6 = 6
- Add the numerator of the fraction (1) to the result: 6 + 1 = 7
- Keep the same denominator: 7/6
Now our problem is 7/6 divided by 1/4.
Step 2: Invert and Multiply
The key to dividing fractions is to invert the second fraction (the divisor) and multiply.
- Invert 1/4 to get 4/1.
Our problem now becomes 7/6 multiplied by 4/1.
Step 3: Multiply the Numerators and Denominators
- Multiply the numerators: 7 * 4 = 28
- Multiply the denominators: 6 * 1 = 6
This gives us 28/6.
Step 4: Simplify the Fraction
Finally, we need to simplify the fraction 28/6. Both 28 and 6 are divisible by 2.
- 28 divided by 2 = 14
- 6 divided by 2 = 3
Therefore, 1 1/6 divided by 1/4 equals 14/3.
Conclusion
By following these simple steps, we can successfully divide fractions like 1 1/6 divided by 1/4, resulting in the answer 14/3. Remember to always convert mixed numbers to improper fractions before dividing and then invert the divisor and multiply.