# Convert a Percent to a Ratio or Fraction (88% and 75%)

.88 as a fraction
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(instructor) According to a survey, 88 percent of college students have a smart phone. Write 88 percent as a ratio. Looking at the notes below, the two words “per cent,” means per one hundred. And therefore a percent is a ratio or fraction whose denominator is 100. And we use the percent symbol to show percent. So number 1, we are given 88 percent which means 88 per 100 or 88 out of one hundred. And therefore as a ratio or fraction, we have 88 over 100. As a fraction we can say, 88 hundredths of the college students have a smart phone or as a ratio we can say 88 out of 100 college students have a smart phone. We can also write ratios using a colon or the word “to.” As a colon we have 88 colon 100 or using the word “to” as a ratio we have 88 to 100. However we simplify ratios and fractions by simplifying out the greatest common factor other than one between the numerator and the denominator. The greatest common factor between 88 and 100 is 4. To simplify, we divide 88 by 4 and we divide 100 by 4. 88 divided by for is equal to 22. 100 divided by 4 is equal to 25. Now that weve simplified the fraction or ratio, we can say 22, twenty fifths of the college students have a smart phone or 22 out of 25 college students have a smart phone. And again as a ratio we can use a colon as well as the word “to.” For number 2, According to a survey, 75 percent of community college students also work part-time or full-time. We are given 75 percent, which means 75 per 100 Or 75 out of 100 and therefore the ratio or fraction is equal to 75 over 100. As a ratio we can also, again, use a colon or use the word “to.” To simplify the ratio or fraction, once again, we simplify out the greatest common factor between the and denominator, which in this case is 25, to simplify we divide 75 by 25 and we divide 100 by 25. 75 divided by 25 is equal to 3. 100 divided by 25 is equal to 4. We can say three fourths of community college students also work part-time or we can say 3 out of 4 community college students, also work full or part-time. And as a ratio, we can use a colon as well as the word “to.” I hope you found this helpful. tags:
percent, percentage, fractions, ratio, convert, write, james, sousa, mathispower4u
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