1 1/2 X 3 2/3

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

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

Multiplying mixed numbers can seem intimidating, but it's actually quite straightforward once you break it down. Let's explore how to multiply 1 1/2 and 3 2/3.

Step 1: Convert to Improper Fractions

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

  • 1 1/2 becomes 3/2 (Multiply the whole number by the denominator and add the numerator, keeping the same denominator: (1 * 2 + 1)/2 = 3/2)
  • 3 2/3 becomes 11/3 (Same process: (3 * 3 + 2)/3 = 11/3)

Step 2: Multiply the Fractions

Now that we have improper fractions, we simply multiply the numerators and the denominators.

  • (3/2) * (11/3) = (3 * 11) / (2 * 3)

Step 3: Simplify

Finally, we simplify the resulting fraction.

  • 33/6 can be simplified to 11/2.

Step 4: Convert Back to a Mixed Number (Optional)

You can leave the answer as an improper fraction (11/2), or you can convert it back to a mixed number:

  • 11/2 is equivalent to 5 1/2 (11 divided by 2 is 5 with a remainder of 1).

Conclusion

Therefore, 1 1/2 x 3 2/3 = 11/2 or 5 1/2.

By breaking down the process into simple steps, multiplying mixed numbers becomes much more manageable.

Related Post


Featured Posts