Converting Fractions to Percents & Back

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  • 0:01 Fractions & Percents
  • 1:05 Fraction to Percent
  • 1:51 Percent to Fraction
  • 2:36 Another Example
  • 3:20 Lesson Summary
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Lesson Transcript
Instructor: Yuanxin (Amy) Yang Alcocer

Amy has a master's degree in secondary education and has taught math at a public charter high school.

After watching this video lesson, you will learn how to turn any fraction into a percent and vice versa. You will learn how they are related and how to write your answers properly.

Fractions and Percents

Meet Sheila! She owns the bakery around the corner. She bakes the most delicious sweet potato pies. They are so popular that people come from all over town just to get her pies. Every time she gets an order, the size of the order is yelled out in both fractions and percents.

Fractions are numbers that are made up of one integer divided by another integer. A percent means per 100. Both types of numbers are yelled out for the same order because some of her workers understand fractions better and some other workers understand percentages better. So, if both are yelled out, then everybody will be clear on what is needed for each order.

Oh look, here come a couple of customers. The first customer orders her pies using a fraction. She says she wants 3/4 of a pie. The second customer orders his pies using a percent. He says he wants 150% of a pie. Let's see how Sheila and her crew handle these different orders and how they convert the fraction to a percent and the percent to a fraction.

Fraction to Percent

The first order came in as a fraction, 3/4. So, how will Sheila and her crew handle this order and convert this fraction to a percent to yell out as well? The process to convert a fraction to a percent involves first dividing the fraction, and then multiplying by a hundred to find the percentage.

So first, Sheila and her crew perform the division that is stated in the fraction: 3 divided by 4. They get 0.75. Now they multiply this number by a hundred. This moves the decimal point two spaces to the right. They now get 75. So, 75% is the percentage equivalent to the fraction 3/4. Now Sheila and her crew can yell out both 3/4 and 75% to get this order going.

Percent to Fraction

The second order is a percentage, 150%. How will this be handled? To convert a percentage to a fraction involves putting our percentage in the numerator and 100 in the denominator and then simplifying. So, Sheila and her crew first write down 150/100. Now they can go ahead and simplify this fraction.

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