**Converting Mixed Numbers to Fractions: 1 3/4 x 1 2/4**

In this article, we will explore how to convert mixed numbers to fractions, specifically focusing on the multiplication of 1 3/4 and 1 2/4.

**Understanding Mixed Numbers**

Before we dive into the multiplication, let's quickly review what mixed numbers are. A mixed number is a combination of a whole number and a fraction. For example, 1 3/4 is a mixed number, where 1 is the whole number and 3/4 is the fraction.

**Converting Mixed Numbers to Fractions**

To convert a mixed number to a fraction, we need to follow these steps:

### Step 1: Multiply the whole number by the denominator

Take the whole number part of the mixed number and multiply it by the denominator of the fraction.

### Step 2: Add the numerator

Add the numerator of the fraction to the product of the whole number and the denominator.

### Step 3: Simplify the fraction (if possible)

Simplify the resulting fraction, if possible.

**Converting 1 3/4 to a Fraction**

Let's convert 1 3/4 to a fraction:

### Step 1: Multiply the whole number by the denominator

1 (whole number) × 4 (denominator) = 4

### Step 2: Add the numerator

4 + 3 (numerator) = 7

### Step 3: Simplify the fraction (if possible)

The resulting fraction is 7/4, which is already in its simplest form.

**Converting 1 2/4 to a Fraction**

Now, let's convert 1 2/4 to a fraction:

### Step 1: Multiply the whole number by the denominator

1 (whole number) × 4 (denominator) = 4

### Step 2: Add the numerator

4 + 2 (numerator) = 6

### Step 3: Simplify the fraction (if possible)

The resulting fraction is 6/4, which can be simplified to 3/2.

**Multiplying the Fractions**

Now that we have converted both mixed numbers to fractions, we can multiply them:

**(7/4) × (3/2) = ?**

To multiply fractions, we multiply the numerators and denominators separately:

**(7 × 3) / (4 × 2) = 21/8**

The result of multiplying 1 3/4 and 1 2/4 is 21/8.

**Conclusion**

In this article, we have learned how to convert mixed numbers to fractions and multiply them. By following the steps outlined above, you can convert any mixed number to a fraction and perform various arithmetic operations with ease.