1 1/3 X 1/2 As A Fraction

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

Multiplying Fractions: 1 1/3 x 1/2

This article will guide you through multiplying the mixed number 1 1/3 by the fraction 1/2.

Understanding Mixed Numbers

A mixed number, like 1 1/3, represents a whole number plus a fraction. To multiply mixed numbers, it's helpful to convert them into improper fractions first.

Converting to Improper Fractions

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

Now we have the equation: 4/3 x 1/2

Multiplying Fractions

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

  • Numerators: 4 x 1 = 4
  • Denominators: 3 x 2 = 6

This gives us the result: 4/6

Simplifying the Fraction

The fraction 4/6 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 2:

  • 4 ÷ 2 = 2
  • 6 ÷ 2 = 3

Therefore, the simplified answer is 2/3.

Conclusion

The product of 1 1/3 and 1/2 is 2/3. By converting the mixed number to an improper fraction and applying the rules of fraction multiplication, we arrived at the simplified answer.

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