Multiplying Fractions: 1 1/6 x 4
This article will guide you through multiplying the mixed number 1 1/6 by the whole number 4.
Understanding Mixed Numbers
A mixed number, like 1 1/6, represents a whole number and a fraction combined. To multiply it by a whole number, we need to convert it into an improper fraction.
Converting to an Improper Fraction
- Multiply the whole number by the denominator: 1 * 6 = 6
- Add the numerator: 6 + 1 = 7
- Keep the same denominator: 7/6
Therefore, 1 1/6 is equivalent to 7/6.
Multiplying Fractions
Now we can multiply our improper fraction by the whole number:
7/6 * 4/1
To multiply fractions, we simply multiply the numerators and the denominators:
(7 * 4) / (6 * 1)
This gives us:
28/6
Simplifying the Result
Our final result, 28/6, can be simplified. Both 28 and 6 are divisible by 2:
(28 / 2) / (6 / 2)
This gives us:
14/3
Expressing as a Mixed Number
While 14/3 is a correct answer, we can express it as a mixed number for easier understanding:
4 2/3
Therefore, 1 1/6 x 4 is equal to 4 2/3.