## Multiplying Mixed Numbers and Fractions

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

### Step 1: Convert the Mixed Number to a Fraction

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

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

Now, we have 8/7 instead of 1 1/7.

### Step 2: Multiply the Fractions

Now we have 8/7 * 3/5. To multiply fractions, we simply multiply the numerators and the denominators:

**Numerators:**8 * 3 = 24**Denominators:**7 * 5 = 35

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

### Conclusion

Therefore, 1 1/7 times 3/5 is **24/35**.