## Multiplying Mixed Numbers: 1 1/2 x 3 1/2 x 7

This article will guide you through multiplying the mixed numbers 1 1/2, 3 1/2, and 7.

### Converting Mixed Numbers to Fractions

Before multiplying, we need to convert the mixed numbers into improper fractions:

**1 1/2:**(1 x 2) + 1 = 3, so 1 1/2 is equivalent to 3/2.**3 1/2:**(3 x 2) + 1 = 7, so 3 1/2 is equivalent to 7/2.

### Multiplying Fractions

Now, we can multiply the fractions:

(3/2) x (7/2) x 7 = (3 x 7 x 7) / (2 x 2 x 1) = **147/4**

### Converting Back to a Mixed Number

Finally, we convert the improper fraction back to a mixed number:

147 / 4 = **36 3/4**

Therefore, 1 1/2 x 3 1/2 x 7 is equal to **36 3/4**.