## Multiplying Fractions: 1 3/4 x 2

This article will guide you through the steps of multiplying a mixed number by a whole number, specifically **1 3/4 x 2**.

### Understanding Mixed Numbers

First, let's understand what a mixed number is. A mixed number consists of a whole number and a fraction. In this case, **1 3/4** represents one whole unit plus three-quarters of another unit.

### Converting Mixed Numbers to Fractions

To make multiplication easier, we need to convert the mixed number into an improper fraction. Here's how:

**Multiply the whole number by the denominator:**1 x 4 = 4**Add the numerator:**4 + 3 = 7**Keep the original denominator:**7/4

Therefore, **1 3/4** is equivalent to **7/4**.

### Multiplying Fractions

Now we can multiply the fractions:

**(7/4) x (2/1)**

**To multiply fractions, we multiply the numerators and the denominators.**

**(7 x 2) / (4 x 1)**

**= 14/4**

### Simplifying the Answer

The fraction 14/4 can be simplified. Both the numerator and denominator are divisible by 2:

**(14/2) / (4/2)**

**= 7/2**

### Converting Back to a Mixed Number

Finally, we can convert the improper fraction **7/2** back to a mixed number:

**Divide the numerator by the denominator:**7 ÷ 2 = 3 with a remainder of 1**The quotient becomes the whole number:**3**The remainder becomes the numerator:**1**Keep the original denominator:**2

Therefore, **7/2** is equivalent to **3 1/2**.

### Conclusion

In conclusion, **1 3/4 x 2 = 3 1/2**. By following these steps, you can confidently multiply mixed numbers and fractions.