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

Oct 31, 2016

$\frac{11}{20}$

#### Explanation:

$0.05 = \frac{1}{20}$.

This is because $20 \times 0.05 = 1.00$

Now:

$0.05 \times 11 = 0.55$, which means that

$0.55 = \frac{11}{20}$

Oct 31, 2016

$\frac{11}{20}$

#### Explanation:

Before we get to simplifying, let's just go ahead and convert this decimal into a fraction. We know that $0.55$, by definition, means $55 \text{ hundredths }$ This can simply be written as:

$\frac{55}{100}$

Now that we have a fraction, simplification is much (wait for it) simpler. The biggest part of simplification involves finding a common factor between the numerator and denominator of the fraction. You may have heard of this as the Greatest Common Factor, or GCF.

In this case, notice that both $55 \mathmr{and} 100$are divisible by 5. Hence, let's go ahead and divide each term by 5:

$\frac{55 \div 5}{100 \div 5} = \frac{11}{20}$

This leaves us with

$\frac{11}{20}$

Since 11 and 20 do not share any common factors (apart from 1), we can conclusively say that this is the most simplified we can get.

So, there you are. Your answer is $\frac{11}{20}$.

Hope that helps :)

Oct 28, 2017

$0.55 = \frac{11}{20}$

#### Explanation:

Decimal fractions can be written as common fractions with denominators which are powers of $10$

$0.55$ has two decimal places and means $\frac{55}{100}$

Simplify top and bottom by the highest common factor ($5$)

$\frac{55 \div 5}{100 \div 5} = \frac{11}{20}$