Video: Converting Decimal Numbers to Mixed Numbers

Mr. Ethan’s car has an average mileage of 22.66 miles per gallon. Express this amount as a mixed number in its simplest form.

02:18

Video Transcript

Mr Ethan’s car has an average mileage of 22.66 miles per gallon. Express this amount as a mixed number in its simplest form.

We’re told that, on average, Mr Ethan’s car travels 22.66 miles per gallon. And we’re asked to express this amount as a mixed number. A mixed number contains a whole number and a fraction. At the moment, our number 22.66 has a whole part, which is 22, and a decimal part. 66 is worth sixty-six hundredths. We could write 0.66 as a decimal fraction, sixty-six hundredths. So, 22.66 is equal to 22 and sixty-six hundredths. 22 and sixty-six hundredths is now a mixed number. But we have to express the mixed number in its simplest form.

Now, can we simplify sixty-six hundredths? What can we divide 66 and 100 by to simplify the fraction? We can divide both numbers by two. 66 divided by two is 33. And 100 divided by two is 50. 22 and sixty-six hundredths in its simplest form is 22 and thirty-three fiftieths. Mr Ethan’s car has an average mileage of 22.66 miles per gallon. This amount, expressed as a mixed number in its simplest form, is 22 and thirty-three fiftieths miles per gallon.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.