Fractions
100: Which fraction or fractions are equivalent to 3/4?
examples include 9/12, 6/8, 12/16...
Explanation: To find an equivalent fraction, multiply the numerator and denominator of 3/4 by the same number.
100: What is 1/2 × 6 as a whole number?
3
Explanation: Multiply numerator: 1×6 = 6, denominator stays 2 → 6/2 = 3.
100: What is another way to represent 1/8 x 5? Also, what is the product?
1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 5/8
100: Johnny has $5.25 and spends $1.75 on slime ingredients. How much money does she have left?
Subtract 5.25 - 1.75 = 3.50
100: What is 1.2/ 4?
0.3
200: Miguel baked 1/4 of a pie. Then Firestar made another 3/8 of a pie. How much pie did they make together?
5/8
Explanation: Find a common denominator between 1/4 and 3/8. Then 1/4 x 2/2 = 2/8. Thus, 2/8 + 3/8
200: Jonah drank 3/4 liters of juice over 3 days. How much did he drink each day?
1.4 liters
Explanation: Divide w/ reciprocal: 3/4 ÷ 3 = 3/4 × 1/3 = 3/12 = 1/4.
200: Jennifer was selling cupcakes for $0.25 each. If she sold 12, how much money did she make?
$3.00
Explanation: Multiply 0.25 x 12
200: The Flash ran 6.5 miles, then ran 3.30 miles more. How far did he run?
Add 6.50 + 3.30 = 9.8
200: What is 16 ÷ 0.4?
40
300: Q: Eva gave 3/8 of her pie to a friend and ate 1/4. What fraction is left?
3/8
Explanation: Convert 1/4 to 2/8. Total used: 3/8 + 2/8 = 5/8. Take away from the original whole 8/8 - 5/8 = 3/8.
300: Emi constructs 3 2/4 of bricks for 4 2/3 days. How many bricks does she make as a mixed fraction?
16 1/3
Explanation: Convert 3 2/4 = 14/4 and 4 2/5 = 14/3. Multiply to get 196/12. Then, convert to 16 1/3.
300: Julissa reads 1.5 books every week. How many books in 421 weeks?
631.5
300: Isabella goes to work and buys lunch for $6.72. She then resells it to her coworker for $9.99. With that new amount, she buys her lunch again for the same price, but Isabella buys 3/4 of a candy. How much money does she have left?
3/4 = 0.75 or .75
$9.99 - $6.72 = $3.27 of profit
$3.27 - $0.75 = $2.52
300: A tutor bought 3082 pencils and gave some to his 18 students. How many did each student get? How many remain?
171 R 4
400: Q: Explain how to subtract 5/6 – 1/3 using a visual model.
Explanation: Convert 1/3 = 2/6. Subtract 5/6 – 2/6 = 3/6 = 1/2. Model with a pie chart helps visualize the parts being removed or draw a circle with 6 parts
400: 5 friends share 2½ pizzas equally. How much does each one get?
1/2 pizza
Explanation: Convert 2½ = 5/2. Divide: 5/2 ÷ 5 = 5/2 × 1/5 = 5/10 = 1/2.
400: Miguel can run 3.2 miles in one hour. How far in 2.5 hours?
8.0
400: Convert 0.375 into a fraction into its smallest/ simplest form.
0.375 = 375/1000 = 3/8
400: Jennifer said that her pet whale ate 27.6 pounds of fish in 4 days. How much did the pet whale eat in each day as a decimal?
6.9
500: : A recipe uses 2/3 cup oil. Lily makes 1½ times the recipe. How much oil does she need?
1 cup
Explanation: Convert 1½ into 3/2. Multiply: 2/3 × 3/2 = 6/6 = 1. So she needs 1 full cup
500: Liam jogs 2 1/2 miles every day for 3 1/3 days. How many total miles did he jog?
8 1/3
Explanation: Convert 2 1/2 = 5/2 and 3 1/2 = 10/5. Multiply 5/2 x 10/3 = 50/6. Convert to 8 1/3
500: A factory produces 246 pencils every hour. If it runs for 17 hours a day for 6 days, how many pencils does it produce in total?
25,092 in 6 days
Explanation: Multiply 246 pencils x 17 hours = 4,182 pencils. Multiply by 6 = 25,092
500: Convert 4.2 to a mixed number
42/10 = 21/5 = 4 1/5
Explanation: You can either say 4 wholes and 2/10 = 1/5, thus 4 1/5 OR 42/10 = 21/5 = 4 1/5
500: Ms. Jackson divided 5 pizzas evenly among 8 students. How much pizza per student as a decimal?
0.625