# Mixed Number to Improper Fraction

To convert a mixed number to its corresponding improper fraction, we follow the following steps:

## Steps

Step 1: Multiplying the Denominator with the Whole Number

Here,

Denominator = 5

Whole number = 1

Now, by multiplying 5 and 1, we get

5 × 1 = 5

Step 2: Adding the Numerator to the Product

Here,

Product  = 5

Numerator = 2

Now, adding 2 to it, we get

5 + 2 = 7

Step 3: Writing in Improper Fraction Form

Mathematically, the improper fraction is written as

${\dfrac{\left( Denominator\times Whole \ Number\right) +Numerator}{Denominator}}$

Thus, the improper fraction is ${\dfrac{7}{5}}$

Let us convert ${3\dfrac{1}{2}}$ into improper fraction,

Step 1: Multiplying the Denominator with the Whole Number

Here,

Denominator = 2

Whole number = 3

Now, by multiplying 2 and 3, we get

2 × 3 = 6

Step 2: Adding the Numerator to the Product

Here,

Product  = 6

Numerator = 1

Now, adding 1 to it, we get

6 + 1 = 7

Step 3: Writing in Improper Fraction Form