What is 874.7 as a fraction?

Fractions can be written in a variety of ways such as decimals and percentages, and it is a useful skill to be able to quickly convert one to another. In this guide, we will walk you through how to convert 874.7 as a decimal to a fraction.

Solution: 874.7 as a fraction is 8747/10

Methods

Converting 874.7 to a fraction, Step-by-Step

Step 1:

The first step to converting 874.7 to a fraction is to re-write 874.7 in the form p/q where p and q both are positive integers. To start with, 874.7 can be written as simply 874.7/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 874.7, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 874.7/1 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 874.7/1 each by 10:

874.7×101×10=874710\frac{874.7 × 10}{1 × 10} = \frac{8747}{10}

Step 3:

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

874710=874710\frac{8747}{10} = \frac{8747}{10}

Become a Pro at Converting to Fractions

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

What is 5.203 as a fraction?

What is 3.91 as a fraction?

What is 90.65 as a fraction?

What is 31.12 as a fraction?

What is 495.4 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.

Get PDF

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.

Get PDF

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 7-Day Free Trial