## Dividing Mixed Numbers: 1 1/4 ÷ 4 7/8

Dividing mixed numbers can seem daunting, but it's actually quite straightforward. Here's how to solve **1 1/4 ÷ 4 7/8** as a fraction:

### 1. Convert Mixed Numbers to Improper Fractions

**1 1/4:**(1 x 4) + 1 = 5. Keep the denominator, so 1 1/4 becomes**5/4**.**4 7/8:**(4 x 8) + 7 = 39. Keep the denominator, so 4 7/8 becomes**39/8**.

### 2. Invert the Second Fraction and Multiply

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 39/8 is **8/39**.

Our problem now looks like this: **5/4 x 8/39**

### 3. Multiply the Numerators and Denominators

**5 x 8 = 40****4 x 39 = 156**

This gives us **40/156**.

### 4. Simplify the Fraction (Optional)

Both 40 and 156 are divisible by 4.

**40 ÷ 4 = 10****156 ÷ 4 = 39**

Therefore, 1 1/4 ÷ 4 7/8 simplified to its lowest terms is **10/39**.