1 2/4 * 3 5/6

3 min read Jun 17, 2024
1 2/4 * 3 5/6

Multiplying Mixed Numbers: 1 2/4 * 3 5/6

This article will walk you through the steps of multiplying the mixed numbers 1 2/4 and 3 5/6.

Step 1: Convert Mixed Numbers to Improper Fractions

  • 1 2/4: Multiply the whole number (1) by the denominator (4) and add the numerator (2). This gives you 6. Keep the same denominator (4). So, 1 2/4 becomes 6/4.
  • 3 5/6: Multiply the whole number (3) by the denominator (6) and add the numerator (5). This gives you 23. Keep the same denominator (6). So, 3 5/6 becomes 23/6.

Step 2: Multiply the Fractions

Now that we have improper fractions, we can multiply:

(6/4) * (23/6)

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

(6 * 23) / (4 * 6)

Step 3: Simplify

  • 138 / 24
  • This fraction can be simplified by dividing both numerator and denominator by their greatest common factor, which is 6.

138/6 = 23 24/6 = 4

This gives us the simplified answer: 23/4

Step 4: Convert Back to Mixed Number (Optional)

If you want to express the answer as a mixed number, divide the numerator (23) by the denominator (4):

  • 23 divided by 4 is 5 with a remainder of 3.

Therefore, the answer can be written as 5 3/4.

Conclusion

By following these steps, we have successfully multiplied the mixed numbers 1 2/4 and 3 5/6, obtaining the result of 23/4 or 5 3/4. Remember to always convert mixed numbers to improper fractions before multiplying, and simplify the result whenever possible.

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