1 2/3 X 2 3/5 In Simplest Form

2 min read Jun 17, 2024
1 2/3 X 2 3/5 In Simplest Form

Multiplying Mixed Numbers: 1 2/3 x 2 3/5

This article will guide you through the process of multiplying mixed numbers, specifically focusing on the problem 1 2/3 x 2 3/5.

Understanding Mixed Numbers

A mixed number combines a whole number and a fraction. To perform multiplication, we first need to convert these mixed numbers into improper fractions.

Converting to Improper Fractions

1. Multiply the whole number by the denominator:

  • 1 x 3 = 3 2. Add the numerator:
  • 3 + 2 = 5 3. Keep the same denominator:
  • 1 2/3 = 5/3

Similarly, for 2 3/5:

  • 2 x 5 = 10
  • 10 + 3 = 13
  • 2 3/5 = 13/5

Multiplying the Improper Fractions

Now we have 5/3 x 13/5. To multiply fractions, we simply multiply the numerators and the denominators:

  • (5 x 13) / (3 x 5) = 65/15

Simplifying the Result

The fraction 65/15 can be simplified. Both the numerator and denominator are divisible by 5:

  • 65/15 = (65/5) / (15/5) = 13/3

Converting Back to a Mixed Number

Finally, we can convert the improper fraction 13/3 back to a mixed number:

  • 13 divided by 3 is 4 with a remainder of 1.
  • This gives us 4 1/3.

Conclusion

Therefore, 1 2/3 x 2 3/5, expressed in its simplest form, is 4 1/3.

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