Question

How do you convert $0.55$ to a fraction in its simplest form?

Answer 1

Hint: First take the value, and write a $1$ as the denominator to make it a fraction. If values have $1$ value after decimal then multiply by $10$, if $2$ then multiply by $100$ and so on. After that divide by GCD.

Complete step by step solution:
First take $0.55$ , and write a $1$ as the denominator to make it a fraction ,
$\Rightarrow {\displaystyle \frac{0.55}{1}}$
To get rid of the decimal point in the numerator, we count the numbers after the decimal in $0.55$
If it is $1$ number then multiply the numerator and denominator by $10$
If it is $2$ number then multiply the numerator and denominator by $100$
If it is $3$ number then multiply the numerator and denominator by $1000$
Here it is $2$ number, so,
Now, multiply the numerator and denominator by $100$
$\Rightarrow {\displaystyle \frac{55}{100}}$
Here, GCD is $5$ so divide denominator and numerator by $5$, we get,
$\Rightarrow {\displaystyle \frac{11}{20}}$
Therefore,$0.55$ as a fraction is as follows:
${\displaystyle \frac{11}{20}}$

Note: Alternative method
$0.55={\displaystyle \frac{55}{100}}$
Both numerator and denominator simplify to small number by divide the LCD of both numbers which is $5$
The most simple fraction will be ${\displaystyle \frac{11}{20}}$