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

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

### Understanding Mixed Numbers

A mixed number consists of a whole number and a fraction. In this case, **1 3/4** represents one whole and three quarters.

### Converting to an Improper Fraction

Before multiplying, it's helpful to convert the mixed number to an improper fraction. Here's how:

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

Now we have the improper fraction **7/4** which is equivalent to **1 3/4**.

### Multiplying the Fractions

Now that we have a fraction, we can multiply:

**(7/4) * 4 = 7**

This is because when multiplying a fraction by a whole number, you essentially multiply the numerator by the whole number.

### Final Answer

Therefore, **1 3/4 times 4 is equal to 7**.