# How do you convert 0.9 into a percent and fraction?

Jul 22, 2016

0.9=9/10=90%

#### Explanation:

A decimal fraction such as $A B C D . P Q R S T \ldots .$ can be written as

$A \times 1000 + B \times 100 + C \times 10 + D + \frac{P}{10} + \frac{Q}{100} + \frac{R}{1000} + \frac{S}{10000} + \frac{T}{100000} + \ldots .$ in fractionor simply

$A B C D + \frac{P}{10} + \frac{Q}{100} + \frac{R}{1000} + \frac{S}{10000} + \frac{T}{100000} + \ldots \ldots \ldots \ldots .$

or $\frac{A B C D P Q R S T}{100000}$

In percentage it would be (ABCDPQRST)/(100000)×100= (ABCDPQRST)/(1000)=ABCDPQ.RST

As we have one digit in $0.9$ immediately to the right of decimal point, it can be written as $\frac{9}{10}$.

To convert a fraction into percentage, just multiply it by $100$ and percentage sign %. Hence

0.9=9/10=(9/10xx100)%=90%