Multiplying Mixed Numbers: 1 1/6 x 4 3/4
This article will guide you through the steps of multiplying the mixed numbers 1 1/6 and 4 3/4.
Converting Mixed Numbers to Fractions
Before we multiply, we need to convert the mixed numbers into improper fractions:
- 1 1/6: Multiply the whole number (1) by the denominator (6) and add the numerator (1). This gives you 7. Keep the same denominator. So, 1 1/6 becomes 7/6.
- 4 3/4: Multiply the whole number (4) by the denominator (4) and add the numerator (3). This gives you 19. Keep the same denominator. So, 4 3/4 becomes 19/4.
Multiplication of Fractions
Now, we can multiply the two improper fractions:
(7/6) x (19/4) = (7 x 19) / (6 x 4) = 133/24
Simplifying the Result
The result, 133/24, is an improper fraction. Let's simplify it back into a mixed number:
- Divide the numerator (133) by the denominator (24). This gives you 5 with a remainder of 13.
- The quotient (5) becomes the whole number part of the mixed number.
- The remainder (13) becomes the numerator of the fraction.
- The denominator stays the same (24).
Therefore, 133/24 simplified is 5 13/24.
Conclusion
So, 1 1/6 times 4 3/4 is equal to 5 13/24. Remember, the key to multiplying mixed numbers is to convert them into improper fractions first and then follow the standard multiplication rules for fractions.