## What is 1 3/4 Times Two?

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

### Converting to an Improper Fraction

Before we multiply, we need to convert the mixed number 1 3/4 into 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, representing 1 3/4.

### Multiplying by Two

To multiply 7/4 by 2, we simply multiply the numerator by 2:

(7/4) * 2 = 14/4

### Simplifying the Result

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

14/4 = (14 ÷ 2) / (4 ÷ 2) = 7/2

### Converting Back to a Mixed Number

The simplified fraction 7/2 is an improper fraction. Let's convert it 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 same denominator:**2

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