1 1/3 / 3 As A Fraction

2 min read Jun 17, 2024
1 1/3 / 3 As A Fraction

Dividing a Mixed Number by a Whole Number: 1 1/3 / 3

This article will guide you through the process of dividing the mixed number 1 1/3 by the whole number 3.

Understanding Mixed Numbers

A mixed number combines a whole number and a fraction. In our example, 1 1/3 represents one whole and one-third.

Converting to an Improper Fraction

Before dividing, we need to convert the mixed number 1 1/3 into an improper fraction. To do this:

  1. Multiply the whole number (1) by the denominator of the fraction (3): 1 * 3 = 3
  2. Add the numerator of the fraction (1): 3 + 1 = 4
  3. Keep the same denominator (3): This gives us the improper fraction 4/3.

Dividing Fractions

Now we have the problem: 4/3 / 3.

Dividing by a whole number is the same as multiplying by its reciprocal. The reciprocal of 3 is 1/3.

So, our problem becomes: (4/3) * (1/3).

Multiplying Fractions

To multiply fractions, we multiply the numerators and the denominators:

  • Numerators: 4 * 1 = 4
  • Denominators: 3 * 3 = 9

This gives us the fraction 4/9.

Simplifying the Answer

The fraction 4/9 is already in its simplest form, as there are no common factors between 4 and 9.

Conclusion

Therefore, 1 1/3 / 3 = 4/9.

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