What is 27.72 as a fraction?

Numbers can be represented in a multitude of ways, from decimals, to percentages to fractions. In this article, we will demonstrate how you can convert a decimal number to a fraction and soon you’ll be a pro at it, too!

Solution: 27.72 as a fraction is 693/25


Converting 27.72 to a fraction, Step-by-Step

Step 1:

The first step to converting 27.72 to a fraction is to re-write 27.72 in the form p/q where p and q are both positive integers. To start with, 27.72 can be written as simply 27.72/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 27.72, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 27.72/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 27.72/1 each by 100:

27.72×1001×100=2772100\frac{27.72 × 100}{1 × 100} = \frac{2772}{100}

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer:

2772100=69325\frac{2772}{100} = \frac{693}{25}

Convert Other Values to Fractions

Become a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:

What is 7.84 as a fraction?

What is 93.81 as a fraction?

What is 9.798 as a fraction?

What is 881.9 as a fraction?

What is 4.445 as a fraction?

Download FREE Math Resources

Take advantage of our free downloadable resources and study materials for at-home learning.

8 Math Hacks and Tricks to Turn Your ‘Okay’ Math Student Into a Math Champion!

One thing we teach our students at Thinkster is that there are multiple ways to solve a math problem. This helps our students learn to think flexibly and non-linearly.


How to Make Sure Your Child is Highly Successful and Becomes a Millionaire

As a parent, you hope your child is extremely successful and likely become the next Gates, Zuckerberg, or Meg Whitman. To set your child on the right path, there are many skills and traits that you can start building and nurturing now. Doing so plants the seeds for future success.


Your Child Can Improve Their Math Scores By 90% Within 3 months!

Our elite math tutors are ready to help make your child a math champion! Sign up for our zero $ free trial to get started today.

Start Zero $ 7-Day Trial