# How do you write 3.5 as an improper fraction?

Jun 9, 2018

$\frac{7}{2}$

#### Explanation:

Given: $3.5$.

$= 3 + 0.5$

$= 3 + \frac{1}{2}$

$= \frac{6}{2} + \frac{1}{2}$

$= \frac{7}{2}$

Jun 9, 2018

$\frac{7}{2}$

#### Explanation:

$.5 = \frac{1}{2}$

$3.5 = 3 \frac{1}{2}$

$3 \frac{1}{2} = \frac{7}{2}$

Jun 9, 2018

$3 \frac{1}{2}$

#### Explanation:

First write it as a fraction:

let:

$m = 3.5$

Multiply both sides by 10 to eliminate the decimal:

$10 m = 35$

$m = \frac{35}{10} = \frac{7}{2}$

Now we make an improper fraction by dividing and finding the remainder:

$\frac{7}{2} = 3 R 1$

Finally the improper fraction:

$3 \frac{1}{2}$

Just as a note mathematicians rarely use improper fractions as they are much harder to do operations on.