**Adding Mixed Numbers in Fraction Form**

Adding mixed numbers in fraction form can be a bit tricky, but with a few simple steps, you can master this concept. In this article, we will focus on adding `1 3/4`

and `2 1/2`

in fraction form.

**Step 1: Convert Mixed Numbers to Improper Fractions**

To add mixed numbers, we need to convert them to improper fractions. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

`1 3/4`

can be converted to an improper fraction by multiplying the whole number part (1) by the denominator (4) and then adding the numerator (3).

`1 3/4`

= `(1 × 4) + 3`

= `7/4`

`2 1/2`

can be converted to an improper fraction by multiplying the whole number part (2) by the denominator (2) and then adding the numerator (1).

`2 1/2`

= `(2 × 2) + 1`

= `5/2`

**Step 2: Find a Common Denominator**

To add the two improper fractions, we need to find a common denominator. The least common multiple (LCM) of 4 and 2 is 4. So, we can convert `5/2`

to have a denominator of 4.

`5/2`

= `(5 × 2)/(2 × 2)`

= `10/4`

Now, we can add the two fractions:

`7/4`

+ `10/4`

= `17/4`

**The Final Answer**

The result of adding `1 3/4`

and `2 1/2`

in fraction form is `17/4`

. You can convert this back to a mixed number if needed:

`17/4`

= `4 1/4`

And that's it! You have successfully added two mixed numbers in fraction form.