Unit 3 Math Review

Adding and Subtracting Fractions

100

Question: Add 4/10 + 8/100 =

Answer: 48/100

200

Question: In a jar full of Skittles, 8/16 of the Skittles are red and 3/16 are green. What fraction of the Skittles in the jar are either red or green?

Answer: 11/16

300

Question: On Lou’s Used Car Lot 46/100 of the vehicles are cars and 3/10 of the vehicles are trucks. What decimal number is equal to the fraction of the vehicles on the car lot that are either cars or trucks?

Answer: 0.76 of the vehicles are either cars or trucks

400

Question: Larry needs a piece of carpet cut to a length of 6 2/6 feet. The carpet is now 12 3/6 feet. How many feet of carpet needs to be cut off so Larry has exactly 6 2/6 feet remaining?

Answer: 6 1/6 feet

500

Question: The Smith family took a trip that was 2 3/6 miles from their home to the library. They then drove their car 4 5/6 miles from the library to the park. What is the total distance the Smith family traveled from their home, to the library, and to the park? Make sure that your answer does not include an improper fraction.

Answer: 7 2/6 miles

Comparing Fractions and Decimals

100

Question: Compare the following fractions using >,<, or =. 3/6 3/8

Answer: 3/6 > 3/8

200

Question: Which of the following comparisons is true? 4/7 > 5/8 or 3/6 < 5/7

Answer: 3/6 < 5/7

300

Question: Jordan has a yellow water bottle and a blue water bottle that are the same size. The yellow water bottle is 5/6 full of water. The blue water bottle is 4/12 full of water. Using equivalent fractions, explain why the yellow water bottle has more water in it than the blue water bottle.

Answer: 5/6 is equivalent to 10/12 and 10/12 is greater than 4/12.

400

Question: Using >,<, or = compare 46.23 and 46.31. Explain how you found your answer.

Answer: 46.23 < 46.31; The digit 2 in the tens place is less than the digit 3 in the tens place so 46.23 < 46.31.

500

Question: Using >,<, or = compare 7/10 and 0.63.

Answer: 7/10 > 0.63 or 0.7 > 0.63

Multiplying Whole Numbers and Fractions

100

Question: 5 x 6/7 = For your answer, change the improper fraction to a mixed number.

Answer: 4 2/7

200

Question: Joey bought ceiling tiles. Each tile was 3/8 foot on each side. He used 10 tiles to cover the length of the ceiling in his closet. What is the length, in feet, of his closet ceiling? Don't forget to change any improper fractions to a mixed number.

Answer: 3 6/8 or 3 3/4

300

Question: Jeremiah served spaghetti to 18 people at his restaurant. If each person ate 3/5 of a pound of spaghetti noodles, how many pounds of spaghetti noodles will Jeremiah need to buy? Identify what 2 whole numbers the answer lies between.

Answer: 10 4/5 lies between 10 and 11 pounds.

400

Question: A fruit salad is made of strawberries and oranges. Strawberries make up 8/10 of the fruit salad. What is the amount of strawberries in 4 pounds of fruit salad? Write your answer as a decimal.

Answer: 3.2 pounds of strawberries

500

Question: Crystal has 24 pairs of leggings. 2/12 of her leggings are black. 3/8 of her leggings are pink. 1/3 of her leggings are blue. The rest of her leggings are brown. How many of her leggings are pink?

Answer: 9 pairs are pink.

Decomposing Fractions

100

Question: True or False? 2/8 + 2/8 + 2/8 + 1/8 = 6/8

Answer: False; the fractions add up to 7/8

200

Question: True or False? 4/9 + 3/9 + 2/9 + 2/9 + 2/9 = 1 4/9

Answer: True; 13/9 = 1 4/9

300

Question: True or False? 1/6 + 1/6 + 2/6 + 5/6 = 1 3/6

Answer: True; 9/6 is equal to 1 3/6

400

Bonus Points! Add 400 points to your score!

Lucky Duck!

500

Question: True or False? 4/7 + 3/7 + 2/7 = 1 3/7

Answer: False; 9/7 is equal to 1 2/7

Hodge Podge

100

Question: Write 0.06 as a fraction.

Answer: 6/100

200

Question: Each of three people began to run in a race. Chloe ran 2/8 mile and then stopped. Ann ran 10/16 mile and then stopped. Erin ran 2/4 mile and then stopped. Plot each runner on the number line provided.

Answer: Your number line should show the following runners plotted correctly: Chloe (2/8), Erin (4/8), Ann (5/8)

300

Question: Each of three people began to run in a race. Chloe ran 2/8 mile and then stopped. Ann ran 10/16 mile and then stopped. Erin ran 2/4 mile and then stopped. Compare how far Chloe ran to how far Ann ran.

Answer: Chloe (2/8) < Ann (2/4 or 4/8)

400

Question: Crystal has 24 pairs of leggings. 2/12 of her leggings are black. 3/8 of her leggings are pink. 1/3 of her leggings are blue. The rest of her leggings are brown. Compare the number of pairs of blue leggings to the number of black leggings.

Answer: 8 pairs of blue leggings > 4 pairs of black leggings

500

Question: Compare the following decimal and fraction amounts using >,< or =. 0.7 and 62/100

Answer: 0.7 > 62/100 (0.62)