# Why is the fraction of 0.5 2/5? Thanks

May 12, 2018

$\frac{9}{10}$

#### Explanation:

To convert a mixed fraction to an improper fraction, follow these steps:
1)Multiply the whole number part by the fraction's denominator.
2)Add that to the numerator.
3)Then write the result on top of the denominator.

So you in your question $0.5 \frac{2}{5}$
Multiply the whole part that is $.5$ with denominator that is $5$

So it will be
$0.5 \cdot 5 = 2.5$

Then add this figure to the numerator
That is $2$
So it will be
$2.5 + 2 = 4.5$
This is the figure you will write on the numerator
Thus it will be
$\frac{4.5}{5}$
To remove decimal from numerator multiply both numerator and denominator this 10 as follows

$\frac{4.5}{5} \cdot \frac{10}{10}$

That is $\frac{45}{50}$

Simplify it It by dividing by $5$

So the answer will be $\frac{9}{10}$