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fraction decimal percent A fraction - examples: 1 4 3 4 5 2 It is the express division of two numbers 4 1 4 3 2 5 # A decimal – is another way of writing a fraction whose denominator is a power of 10 examples: .5 5 10 1.5 .75 75 100 1 5 10 # percent - is a Latin word whose meaning is per centum or per hundred. The symbol is %. examples: 50% = 75% = 50 100 75 100 # conversion # 1.Change percent to fraction: 50% = 75% = 5% 50 = 100 75 = 100 5 = = 100 1 2 3 4 1 20 Remove the percent sign. The denominator is always be 100, then reduce to lowest terms. # Change fraction to percent: 1 2 = 1 x 50 2 x 50 = 50 = 100 50% 3 4 = 3 x 25 4 x 25 = 75 = 100 75% 1 = 20 1x5 20 x 5 = 5 = 100 5% # 2.Change decimal to percent: .57 = .57 x 100 = 57 % .75 = .75 x 100 = 75 % .82 = .82 x 100 = 82 % Multiply by 100, then affix the % sign to the resulting product. Or Move the decimal point two places to the right, the affix the % sign. # Change percent to decimal 45% = 45. = .45 75% = 75. = .75 3% = 3. = .03 # 3. Change fraction to decimal: 1 2 1÷2 = .5 3 4 3÷4 = .75 5 8 5÷8 = .625 # Change decimal to fraction: .5 5 10 .75 75 100 625 1000 .625 = 1 2 = 3 4 5 8 = # Types of percent problems # To get a percent a number, remember that OF means multiply (x) IS means is equal to (=) # Example 1: 25% of 80 is what number? .25 x 80 20 = = n n The number # Example 2: What is 40 % of 120 ? n = n = .40 x 120 48 The number # Example 3: 24 is 15 % of what number ? 24 = 24 ÷ .15 160 n .15 x = n The number # Example 4: 40% of what number is 28? .40 x n = n = n = The number 28 28 ÷ .40 70 # Example 5: 18 is what percent of 150? 18 = 18 ÷ 150 .12 P x P = = = P 12% 150 P The percent of 150 # Example 6: What percent of150 is 20? p x p = p = 20 20 ÷ 150 = p 150 = .13333 13.33% # Example problem: General Santos Hospital has a 35 hours training course for volunteer workers. Students on the course spend 21 hours on patient care. What percent of the course is spent on patient care? What percent of 35 is 21? p p p x = = = 35 21 21 ÷ 35 .60 or 60% # THANK YOU !!! #