**1 3/4 Plus 1 3/4 Equals**

In this article, we will solve the problem of adding two mixed numbers: 1 3/4 plus 1 3/4. To do this, we need to understand how to add mixed numbers and how to convert them to improper fractions.

**What is a Mixed Number?**

A mixed number is a combination of a whole number and a fraction. It is written in the form of a whole number followed by a fraction, such as 1 3/4. The whole number part is 1, and the fraction part is 3/4.

**How to Add Mixed Numbers**

To add mixed numbers, we need to follow these steps:

**Convert the mixed numbers to improper fractions**: We need to convert both mixed numbers to improper fractions. An improper fraction is a fraction where the numerator is greater than the denominator.**Add the numerators**: We add the numerators of the two improper fractions.**Keep the same denominator**: We keep the same denominator as the original fractions.**Simplify the fraction**: We simplify the resulting fraction, if possible.

**Converting 1 3/4 to an Improper Fraction**

To convert 1 3/4 to an improper fraction, we multiply the whole number part (1) by the denominator (4) and add the numerator (3):

1 × 4 = 4 4 + 3 = 7

So, 1 3/4 equals 7/4.

**Converting the Second 1 3/4 to an Improper Fraction**

We repeat the same process for the second 1 3/4:

1 × 4 = 4 4 + 3 = 7

So, the second 1 3/4 also equals 7/4.

**Adding the Improper Fractions**

Now, we add the two improper fractions:

7/4 + 7/4 = 14/4

**Simplifying the Result**

We can simplify the resulting fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

14 ÷ 2 = 7 4 ÷ 2 = 2

So, 1 3/4 plus 1 3/4 equals **3 1/2**.

In conclusion, we have successfully added two mixed numbers, 1 3/4 plus 1 3/4, and found the result to be 3 1/2.