## Multiplying Fractions: 1 1/7 x 3/5

This article will guide you through the process of multiplying the mixed number **1 1/7** by the fraction **3/5**.

### Converting the Mixed Number

First, we need to convert the mixed number **1 1/7** into an improper fraction. To do this, follow these steps:

**Multiply the whole number by the denominator:**1 x 7 = 7**Add the numerator:**7 + 1 = 8**Keep the same denominator:**8/7

Now our problem looks like this: **8/7 x 3/5**

### Multiplying Fractions

Multiplying fractions is straightforward:

**Multiply the numerators:**8 x 3 = 24**Multiply the denominators:**7 x 5 = 35

This gives us the result **24/35**.

### Simplifying the Result

The fraction 24/35 is already in its simplest form, as there are no common factors between the numerator and denominator other than 1.

### Final Answer

Therefore, **1 1/7 x 3/5 = 24/35**.