Multiplying Mixed Numbers: 1 3/4 x 4 1/6
This article will walk you through the steps of multiplying the mixed numbers 1 3/4 and 4 1/6.
Step 1: Convert Mixed Numbers to Improper Fractions
- 1 3/4 becomes (1 x 4) + 3 / 4 = 7/4
- 4 1/6 becomes (4 x 6) + 1 / 6 = 25/6
Step 2: Multiply the Numerators and Denominators
Now we have (7/4) x (25/6). To multiply fractions, we simply multiply the numerators together and the denominators together:
- (7 x 25) / (4 x 6)
Step 3: Simplify the Result
- 175 / 24
Step 4: Convert Back to a Mixed Number (Optional)
Since 175 / 24 is an improper fraction, we can convert it back to a mixed number:
- 24 goes into 175 7 times with a remainder of 7.
- The result is 7 7/24
Conclusion
Therefore, 1 3/4 times 4 1/6 is equal to 175/24 or 7 7/24.