Multiplying Mixed Numbers: 1 1/6 x 3 4/5
This article will walk 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). This gives us 7. Keep the same denominator (6). Therefore, 1 1/6 is equivalent to 7/6.
- 3 4/5: Multiply the whole number (3) by the denominator (5) and add the numerator (4). This gives us 19. Keep the same denominator (5). Therefore, 3 4/5 is equivalent to 19/5.
Step 2: Multiply the Fractions
Now that we have improper fractions, we can multiply them:
(7/6) * (19/5) = (7 * 19) / (6 * 5) = 133/30
Step 3: Simplify the Answer
The fraction 133/30 can be simplified. Both 133 and 30 are divisible by 1. The simplified answer is 133/30.
Conclusion
The product of 1 1/6 and 3 4/5 is 133/30.