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### Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation5.13 Word Problems - A Fraction of a Number

 Points to remember: Fraction represents some part over a whole. That is part/whole. To find a fraction of a fraction, multiply them together. to find a whole from a fraction, translate into equation. Example 1: Ron has 25 dogs and 15 cats. What part of the animals are cats? Solution: There are 25 dogs and 15 cats, so their sum is 25+15 = 40. So the cats are 15/40 15/40 = 3/8 Example 2: There are 2 black cars, 8 red cars, and 4 green cars in the parking lot. What fractional part of the cars in this lot is not black? Solution: The cars that are not black = 8+4 = 12 The total number of cars = 2+8+4 = 14 So the cars that are not blue = 12/14 12/14 = 6/7 Directions: Solve the following word problems with fractions.
 Q 1: Jack got \$150 for his birthday. He spends \$25 on a video game and \$35 on some CDs. What fractional part of his money does he have left after this? (Hint: Jack spent \$25+\$35 = \$60. The amount left with him is \$150-\$60 =\$90. Therefore birthday money left with Jack = 90/150 = ____)3/51/67/30 Q 2: A cookie recipe's ingredients are 1/4 cup butter, 1/2 cup of flour, 2 eggs equals 1/4 cup and 1 cups of chocolate. What fractional part of this recipe is chocolate?1/31/21/4 Q 3: Mrs. G has total of 20 students in her class. If 6 of them are girls, what fractional part of her students are girls.4/53/53/10 Q 4: Mike has 10 blue balls, 8 red balls, and 14 green balls. What fractional part of the balls in his collection is not blue? (Hint: The balls that are not blue = 8+14 = 22, The total number of balls = 10+8+14 = 32, So the fraction of balls that are not blue = 22/34=____)13/1811/1711/20 Q 5: There are 12 blue cars, 9 red cars, and 15 green cars in the parking lot. What fractional part of the cars in this lot is not blue? (Hint: The cars that are not blue = 9+15 = 24, The total number of cars = 12+9+15 = 36, So the fraction part of cars that are not blue = 24/36=____)5/61/42/3 Q 6: A cake recipe's ingredients are 1 cup butter, 1/2 cup of flour, 1/2 cup of sugar and 2 cups of chocolate. What fractional part of this recipe is chocolate?1/41/21/8 Q 7: Jack got \$50 for his allowance this month. He spends \$20 on a trading card game and \$5 on book. What fractional part of his money does he have left after this? (Hint: Jack spent \$20+\$5 = \$25. The amount left with him is \$50-\$25 =\$25. Therefore money left with Jack = 25/50 = ____)1/41/21/3 Q 8: Jill got \$200 for her birthday. She spends \$45 on a dress and \$15 on game. What fractional part of his money does he have left after this? (Hint: Jill spent \$45+\$15 = \$60. The amount left with her is \$200-\$60 =\$120. Therefore birthday money left with Jill = 120/150 = ____)2/53/54/5 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!