## Dividing Mixed Numbers: 1 3/4 Cups Divided by 2

This article will guide you through dividing a mixed number, specifically 1 3/4 cups, by 2.

### Understanding the Problem

We are tasked with dividing a quantity of 1 3/4 cups into two equal portions. This can be represented mathematically as:

**(1 3/4) / 2**

### Converting Mixed Numbers to Improper Fractions

Before we can divide, it's helpful to convert the mixed number (1 3/4) 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 problem looks like this:

**(7/4) / 2**

### Dividing by a Whole Number

To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number. The reciprocal of 2 is 1/2.

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

### Multiplying Fractions

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

(7 * 1) / (4 * 2) = 7/8

### Answer

Therefore, 1 3/4 cups divided by 2 is **7/8 of a cup**.