1 1/3 Times 2 1/2 In Fraction Form

3 min read Jun 17, 2024
1 1/3 Times 2 1/2 In Fraction Form

Multiplying Mixed Numbers: Finding 1 1/3 Times 2 1/2

This article explores how to multiply mixed numbers, focusing on finding the product of 1 1/3 and 2 1/2 in fraction form.

Converting Mixed Numbers to Fractions

The first step is to convert both mixed numbers into improper fractions.

1. 1 1/3:

  • Multiply the whole number (1) by the denominator of the fraction (3): 1 * 3 = 3
  • Add the numerator (1) to the result: 3 + 1 = 4
  • Keep the same denominator (3): 4/3

2. 2 1/2:

  • Multiply the whole number (2) by the denominator of the fraction (2): 2 * 2 = 4
  • Add the numerator (1) to the result: 4 + 1 = 5
  • Keep the same denominator (2): 5/2

Multiplying Fractions

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

(4/3) * (5/2) = (4 * 5) / (3 * 2) = 20/6

Simplifying the Result

The fraction 20/6 can be simplified. Find the greatest common factor (GCF) of 20 and 6, which is 2. Divide both the numerator and denominator by 2:

20/6 = (20 / 2) / (6 / 2) = 10/3

Converting Back to a Mixed Number (Optional)

The final answer in fraction form is 10/3. If you prefer, you can convert it back to a mixed number:

  • Divide the numerator (10) by the denominator (3): 10 / 3 = 3 with a remainder of 1
  • The whole number part of the mixed number is 3. The remainder (1) becomes the numerator of the fraction, and the denominator remains 3.

Therefore, 10/3 is equivalent to 3 1/3.

Conclusion

Multiplying 1 1/3 by 2 1/2 results in 10/3 or 3 1/3. By converting the mixed numbers to improper fractions, multiplying, and simplifying, we arrive at the solution.