What is 0.19 as a Fraction?

‘Fractions and decimals have a unique mathematical relationship and they can be expressed in many different forms. While understanding the relationship between decimals and fractions may seem challenging, you can simply think of them (when they are equivalent) as two different ways of expressing the same value. In math, it is important to be able to convert a value from decimal form to fraction form and vice versa. This short post will help you to express 0.19 as a fraction in simplest form and how exactly we arrived at this solution.

Answer: .19 as a fraction equals 19/100

Now that you know that 0.19 as a fraction is equals 19/100 in simplest form, let’s explore the math behind this answer:

Why does .19 as a fraction equal 19/100?

Whenever you have to convert a decimal to a fraction, start by identifying the place value of the digit that is farthest to the right of the decimal point. In the case of 0.19, the last digit is 9, which is in the hundredths, 1/100. place value slot.

If you prefer using visual aids, a place value chart is a great tool for identifying the place value slot of the last digit after the decimal place.

Want to learn how convert decimals to fractions on your own? Click here to access our free guide How to Convert a Decimal to a Fraction in 3 Easy Steps

Now you are ready for the next step, which is to rewrite 0.19 as a fraction with a denominator of 1:

0.19/1

For step three, multiply both the numerator and denominator of 0.19/1 by 100 (the place value slot of the digit that was farthest to the right of the decimal point) as follows:

(0.19 x 100) / (1 x 100) = 19/100

At this point, you can conclude that 0.19 as a fraction is 19/100. However, we still don’t know if this fraction is in simplest form yet.

Many fractions can be reduced, but 19/100 can not. Here’s why:

To check whether or not a given fraction is in simplest form, you must determine whether or not the numerator and denominator share a Greatest Common Factor (GCF) other than 1.

If they share GCF, then the fraction can be reduced.
If they don’t share a GCF, then the fraction can NOT be reduced since it is already in simplest form.

To check if 19/100 is already in simplest form, list all of the factors of both 19 and 100 and check if there is a GCF other than 1:

Factors of 19: 1, 19
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

Now you can see that 19 and 100 do not have any common factors other than 1 (which should make sense since 19 is a prime number). Therefore, the fraction 19/100 can not be reduced.