Multiplying Mixed Numbers: 1 1/6 x 3 4/5
This article will guide you through the steps of multiplying the mixed numbers 1 1/6 and 3 4/5.
Step 1: Convert Mixed Numbers to Improper Fractions
- 1 1/6: Multiply the whole number (1) by the denominator (6) and add the numerator (1). Keep the same denominator.
- (1 x 6) + 1 = 7
- 1 1/6 = 7/6
- 3 4/5: Multiply the whole number (3) by the denominator (5) and add the numerator (4). Keep the same denominator.
- (3 x 5) + 4 = 19
- 3 4/5 = 19/5
Step 2: Multiply the Fractions
- Now we have: 7/6 x 19/5
- To multiply fractions, simply multiply the numerators and the denominators.
- (7 x 19) / (6 x 5) = 133/30
Step 3: Simplify the Answer
- The fraction 133/30 can be simplified. Both the numerator and denominator are divisible by 1.
- 133/30 = 4 13/30
Conclusion
Therefore, 1 1/6 x 3 4/5 = 4 13/30.