## Solving 1 1/7 x 3/5

This article will guide you through the steps of solving the multiplication problem **1 1/7 x 3/5**.

### Understanding Mixed Numbers

First, we need to understand that **1 1/7** is a mixed number. It represents a whole number (1) and a fraction (1/7).

### Converting Mixed Numbers to Fractions

Before multiplying, we need to convert the mixed number into an improper fraction. To do this:

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

Therefore, **1 1/7** is equivalent to **8/7**.

### Multiplying Fractions

Now we have the equation: **8/7 x 3/5**.

To multiply fractions:

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

This gives us **24/35**.

### Simplifying the Answer

The fraction **24/35** cannot be simplified further as there are no common factors between the numerator and denominator.

### Conclusion

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