1 1/6 Divided By 1/4 As A Fraction

3 min read Jun 17, 2024
1 1/6 Divided By 1/4 As A Fraction

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.

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