## Multiplying Mixed Numbers: 1 3/4 x 2

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

### Understanding Mixed Numbers

A mixed number combines a whole number and a fraction. In our example, 1 3/4 represents one whole and three quarters.

### Converting to an Improper Fraction

To make multiplication easier, we'll convert the mixed number into an improper fraction:

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

Now, our equation is (7/4) x 2.

### Multiplying Fractions

To multiply fractions:

**Multiply the numerators:**7 x 2 = 14**Multiply the denominators:**4 x 1 = 4**Simplify if possible:**14/4 = 3 2/4 =**3 1/2**

Therefore, 1 3/4 times 2 is equal to **3 1/2**.