## Dividing Fractions: 1 1/6 Divided by 7

This article will guide you through the steps of dividing the mixed number **1 1/6** by the whole number **7**.

### Understanding the Problem

We need to divide a mixed number (1 1/6) by a whole number (7). To perform this division, we need to convert the mixed number into an improper fraction.

### Converting the Mixed Number

**Multiply the denominator by the whole number:**6 x 1 = 6**Add the numerator:**6 + 1 = 7**Keep the same denominator:**7/6

Now we have the improper fraction **7/6** representing the mixed number **1 1/6**.

### Dividing Fractions

To divide fractions, we follow these steps:

**Flip the second fraction:**The reciprocal of 7 is 1/7.**Multiply the first fraction by the flipped second fraction:**(7/6) x (1/7)**Simplify:**(7 x 1) / (6 x 7) = 7/42**Reduce to lowest terms:**7/42 =**1/6**

Therefore, **1 1/6 divided by 7 is equal to 1/6**.