## 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.**