Multiplying Mixed Numbers: Finding 1 1/6 Times 3 4/5
This article will guide you through the steps of multiplying mixed numbers. Specifically, we will be calculating 1 1/6 times 3 4/5.
Step 1: Convert Mixed Numbers to Improper Fractions
- 1 1/6: Multiply the whole number (1) by the denominator (6), then add the numerator (1). This gives us 7. Keep the same denominator (6). So, 1 1/6 becomes 7/6.
- 3 4/5: Multiply the whole number (3) by the denominator (5), then add the numerator (4). This gives us 19. Keep the same denominator (5). So, 3 4/5 becomes 19/5.
Step 2: Multiply the Fractions
Now we have: (7/6) * (19/5)
To multiply fractions, we simply multiply the numerators and the denominators.
(7 * 19) / (6 * 5) = 133 / 30
Step 3: Simplify the Result (if possible)
The fraction 133/30 can be simplified. Both 133 and 30 are divisible by 1.
Therefore, 1 1/6 times 3 4/5 is equal to 133/30.