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Fractions & Percent

Fractions & Percent. Grade 6. Warm up. 1) Write the equivalent percent of 0.23 2) Convert 87% to decimal 3) Write the fraction of 150% 4) Convert fraction to percent: ¾

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Fractions & Percent

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  1. Fractions & Percent Grade 6 Confidential

  2. Warm up 1) Write the equivalent percent of 0.23 2) Convert 87% to decimal 3) Write the fraction of 150% 4) Convert fraction to percent: ¾ 5) During the X’mas sale a book shop reduced the prices of its cartoon books from $1200 to $800.By what percent was the price decreased? Confidential

  3. 56 100 Lets review what we have learned in the last lesson Convert from Percent to Decimal: To convert a percent to decimal, divide by 100. It means moving the decimal point two places to the left. Example : 56% 56% = = 0.56 56% is equivalent to the decimal 0.56. Confidential

  4. Convert from Decimal to Percent To convert a decimal to a percent, multiply by 100. It means moving the decimal point two places to the right. Example: 0.34 0.34 x 100 = 34 % 0.34 is equivalent to 34% Confidential

  5. Amount of increase or decrease Original amount Percent increase or decrease To find percent increase or decrease, use the formula = % increase or decrease Confidential

  6. What is a Fraction? A fraction is a number that expresses part of a whole. Fractions are written in the form or a/b, where a and b are whole numbers, and the number b is not equal to 0. The number a is called the numerator, and the number b is called the denominator. Let us start! Confidential

  7. Example of fractions • ½, ¾, 4/5 • The fraction 5/6 represents the shaded region of the square below. There are six equal parts in square and only five parts are shaded. Confidential

  8. Percent What is a percent? • The word percent comes from the Latin phrase per centum, which means per hundred. • A percent is a ratio whose second term is 100. • Percent means parts per hundred. • we use the symbol % for percent. • Example: 60 %, 75 %, 90 % Confidential

  9. For converting fractions to percent follow the following steps: Divide the numerator of the fraction by its denominator Multiply the result by 100 (for that move the decimal point two places to the right) Put the % sign at the end of the result Converting fractions to percent Confidential

  10. Example • Convert the fraction ¾ to percent. ¾ = 0.75 (Divide 3 by 4) Now multiply 0.75 by 100, we will get 0.75 x 100 = 75 So, ¾ = 75% Divide 3 by 4 and Multiply by 100. Put % at the end. Confidential

  11. Example • Convert the fraction 7/8 to percent. 7/8 = 0.875 (Divide 7 by 8) Now multiply 0.875 by 100, we will get 0.875 x 100 = 87.5 So, 7/8 = 87.5% Divide 7 by 8 and Multiply by 100. Put % at the end. Confidential

  12. For converting percent to fractions follow the following steps: First remove the Percent sign Make a fraction with the percent as the numerator and 100 as the denominator Reduce/simplify the fraction Converting percent to fraction Confidential

  13. Example • Convert the 60 % to fraction. 60 (Remove the % sign) Now divide 60 by 100 and then simplify, we will get 60/ 100 = 3/5 So, 60 % = 3/5 Remove % signand divide by 100. Confidential

  14. Example • Convert the 85 % to fraction. 85 (Remove the % sign) Now divide 60 by 100 and then simplify, we will get 85/ 100 = 17/20 So, 85 % = 17/20 Remove % signand divide by 100. Confidential

  15. Let’s take a break! Confidential

  16. Confidential

  17. Your Turn Convert the following fractions to percent: • 4/5 • 19/20 • 2/5 • 8/25 • 55/100 Confidential

  18. Your Turn Convert the following percent to fractions: • 3.5 % • 30 % • 45 % • 85 % • 70% Confidential

  19. Q1. Order each set from greatest to least. 15 %, ½, 1/3, 35% Confidential

  20. Q2. The graph below shows the collection of Ted’s videos. a) How many percent of total comedy videos he has? b) How many percent of drama and action videos he has? Confidential

  21. Q3. Order each set from least to greatest. 5 %, 1/4, 32%, 1/8 Confidential

  22. Let Us Review • Fractions are written in the form a/b, where b is not 0 • The numberais called thenumerator, and the numberbis called thedenominator • Percent means parts per hundred • we use the symbol % for percent. Confidential

  23. Let Us Review • For converting fractions to percent • Divide the numerator of the fraction by its denominator. • Multiply the result by 100 and put the % sign. • For converting percent to fractions • First remove the Percent sign. • Make a fraction with the percent as the numerator and 100 as the denominator and then simplify the fraction. Confidential

  24. Great Job today! Remember to do the worksheets!!! Confidential

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