## Dividing Fractions: 1 1/4 Divided by 7/8

Dividing fractions can seem tricky, but it's actually a straightforward process. Here's how to solve **1 1/4 divided by 7/8**:

### 1. Convert Mixed Number to a Fraction

First, we need to convert the mixed number, 1 1/4, to an improper fraction.

- Multiply the whole number (1) by the denominator (4): 1 * 4 = 4
- Add the numerator (1): 4 + 1 = 5
- Keep the same denominator (4): 5/4

Now our problem is **5/4 divided by 7/8**.

### 2. Invert the Second Fraction and Multiply

The key to dividing fractions is to **invert (flip) the second fraction and multiply**.

**Invert 7/8 to 8/7****Multiply 5/4 by 8/7:**(5/4) * (8/7)

### 3. Simplify and Calculate

Now we have a multiplication problem:

**(5 * 8) / (4 * 7)****40 / 28**

Finally, we can simplify the fraction by dividing both numerator and denominator by their greatest common factor, which is 4:

**40 / 4 = 10****28 / 4 = 7**

Therefore, **1 1/4 divided by 7/8 is equal to 10/7**.

### Conclusion

Dividing fractions might appear complex at first, but by following these simple steps, you can solve any division problem with fractions. Remember, **invert the second fraction and multiply, then simplify the result if possible**.