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Video: Expressing a Given Percentage as a Fraction in Its Simplest Form

Kathryn Kingham

Express 22% as a fraction in its simplest form.

01:28

Video Transcript

Express 22 percent as a fraction in its simplest form.

So here’s the process we need to go through. Before we can write 22 percent as a fraction in simplest form, we first need to convert 22 percent into a fraction. And then after that, we’ll find that fraction’s simplest form.

How do we find 22 percent as a fraction? We write the percent value as a fraction out of 100. 22 percent written as a fraction is 22 over 100.

Now I need to find 22 over 100 in its simplest form. You noticed that both the numerator and the denominator are divisible by two. We can reduce 22 over 100 into 11 over 50.

Then we ask, can 11 over 50 be reduced? No, 11 over 50 is already in its simplest form. 22 percent as a fraction in its simplest form is 11 over 50.