Name: ___________________________________________ Algebra 1: Prealgebra Review Topic A1: Factors and Simplifying Fractions | VERSION A Identify the number below as either a prime number or a composite number. If it is composite, give one prime divisor (factor) other than the number itself and if it is prime, answer "DNE." 1. 8. Reduce 9. Reduce 66 3. 81 4. Factor 50 into a product of its primes. Show your answer as a product of primes raised to a power (like 12 = 22 ⋅ 3). 10. Reduce 11. a. c. ! Reduce ! !" to lowest terms. Reduce ! !" !" !" ! d. to lowest terms. !" !"# to lowest terms. 12. a. c. = ! !" ! !" to lowest terms. to lowest terms. !" = !" !" = = ! ! !!" !" !!" d. e. = !!" b. Reduce !" = !! ! e. 7. to lowest terms. Reduce each fraction to lowest terms. b. 6. !" 41 2. 5. !" = = !! !!" !! !!" = = www.varsitylearning.com 1 Name: ___________________________________________ Algebra 1: Prealgebra Review Topic A1: Factors and Simplifying Fractions | VERSION A ! 13. Which of the fractions does not reduce to ? ! a. b. c. d. !" !" !" !" !" !" !" !" The nutrition label below is from a granola bar. Use it to work the following problems. 14. A family's monthly income is $3,600, and they spend $600 each month on food. Write the amount they spend on food as a fraction of their monthly income in lowest terms. The amount they spend on food is _________________ of their monthly income. 17. What fraction of the calories in the bar comes from fat? _____________ of the calories come from fat. 18. What fraction of the total fat is from saturated fat? _____________ of the fat is saturated fat. 15. There are 60 minutes in 1 hour. What fraction of an hour is 5 minutes? Write your answer in lowest terms. 5 minutes is ____________________ of an hour. 16. Suppose 48 people took the final exam in a math class. If 12 people got an A on the final exam, what fraction of the students did not get an A on the exam? Write your answer in lowest terms. _______________ of the class did not get A's on the final exam. 19. What fraction of the total carbohydrates is from sugar? _____________ of the total carbs is from sugar. 20. Which of the following fractions is closest to the ! number ? ! a. b. c. ! !" ! ! ! !" www.varsitylearning.com 2 Name: ___________________________________________ Algebra 1: Prealgebra Review Topic A1: Factors and Simplifying Fractions | VERSION A Identify the number below as either a prime number or a composite number. If it is composite, give one prime divisor (factor) other than the number itself and if it is prime, answer "DNE." 1. 8. Reduce 9. Reduce !" !" ! to lowest terms. ! 41 Prime; DNE !" !" to lowest terms. !" !" 2. 66 Composite; 2, 3, or 11 3. 81 Composite; 3 10. Reduce 4. Factor 50 into a product of its primes. Show your answer as a product of primes raised to a power (like 12 = 22 ⋅ 3). 5! ⋅ 2 Reduce each fraction to lowest terms. 11. a. ! c. 5. Reduce ! !" ! to lowest terms. ! Reduce ! !" d. !" !" = ! ! ! ! ! = ! !" !" ! = !" !" !" ! ! ! ! to lowest terms. !" !" c. ! !!" !" !!" d. e. = !!" b. Reduce !! !" to lowest terms. 12. a. 7. ! !" ! to lowest terms. = !" !" e. 6. = !! b. !" !"# !! !! !!" !! = = !!" ! ! !! ! !! = ! !" ! = ! www.varsitylearning.com 3 Name: ___________________________________________ Algebra 1: Prealgebra Review Topic A1: Factors and Simplifying Fractions | VERSION A ! !" ! !" 13. Which of the fractions does not reduce to ? b. !" a. !" !" b. !" !" c. !" !" d. !" The nutrition label below is from a granola bar. Use it to work the following problems. 14. A family's monthly income is $3,600, and they spend $600 each month on food. Write the amount they spend on food as a fraction of their monthly income in lowest terms. ! The amount they spend on food is of their 17. What fraction of the calories in the bar comes from fat? ! of the calories come from fat. ! ! monthly income. 18. What fraction of the total fat is from saturated fat? ! of the fat is saturated fat. ! 15. There are 60 minutes in 1 hour. What fraction of an hour is 5 minutes? Write your answer in lowest terms. 5 minutes is ! !" of an hour. 19. What fraction of the total carbohydrates is from sugar? ! of the total carbs is from sugar. ! 20. Which of the following fractions is closest to the 16. Suppose 48 people took the final exam in a math class. If 12 people got an A on the final exam, what fraction of the students did not get an A on the exam? Write your answer in lowest terms. ! of the class did not get A's on the final exam. ! number ? a. ! a. b. ! c. ! !" ! ! 6 13 ! !" www.varsitylearning.com 4
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