## Multiplying Fractions: 1 1/2 x 3/4

This article will guide you through the process of multiplying the mixed number **1 1/2** by the fraction **3/4**.

### Understanding Mixed Numbers

A mixed number combines a whole number and a fraction. To multiply a mixed number by a fraction, we first need to convert it into an improper fraction.

**Converting 1 1/2 to an Improper Fraction:**

- Multiply the whole number (1) by the denominator of the fraction (2): 1 * 2 = 2.
- Add the numerator of the fraction (1) to the result: 2 + 1 = 3.
- Keep the same denominator (2).
- The improper fraction equivalent of 1 1/2 is
**3/2**.

### Multiplying Fractions

Now, we have the following multiplication problem: **3/2 x 3/4**

To multiply fractions, we simply multiply the numerators and the denominators:

- Numerator: 3 x 3 = 9
- Denominator: 2 x 4 = 8

Therefore, 3/2 x 3/4 = **9/8**

### Simplifying the Result

The fraction 9/8 is an improper fraction (the numerator is larger than the denominator). We can simplify it into a mixed number:

- Divide the numerator (9) by the denominator (8): 9 ÷ 8 = 1 with a remainder of 1.
- The quotient (1) becomes the whole number part of the mixed number.
- The remainder (1) becomes the numerator of the fraction part.
- The denominator remains the same (8).

Therefore, the simplified form of 9/8 is **1 1/8**.

### Conclusion

The product of 1 1/2 and 3/4, when expressed in fraction form, is **1 1/8**.