1 1/3 X 2 1/3

2 min read Jun 17, 2024
1 1/3 X 2 1/3

Multiplying Mixed Numbers: 1 1/3 x 2 1/3

This article will guide you through the steps of multiplying two mixed numbers: 1 1/3 and 2 1/3.

Understanding Mixed Numbers

Mixed numbers are a combination of a whole number and a fraction. For example, 1 1/3 represents one whole and one-third. To multiply mixed numbers, we need to convert them into improper fractions.

Converting Mixed Numbers to Improper Fractions

To convert 1 1/3 to an improper fraction, follow these steps:

  1. Multiply the whole number by the denominator: 1 x 3 = 3
  2. Add the numerator: 3 + 1 = 4
  3. Keep the same denominator: 4/3

Similarly, 2 1/3 converts to 7/3.

Multiplying Improper Fractions

Now that we have improper fractions, we can multiply them:

(4/3) x (7/3) = (4 x 7) / (3 x 3) = 28/9

Converting Back to a Mixed Number

The answer, 28/9, is an improper fraction. To convert it back to a mixed number:

  1. Divide the numerator by the denominator: 28 ÷ 9 = 3 with a remainder of 1.
  2. The quotient (3) becomes the whole number part of the mixed number.
  3. The remainder (1) becomes the numerator of the fraction.
  4. Keep the same denominator: 3 1/9

Conclusion

Therefore, 1 1/3 x 2 1/3 = 3 1/9.

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