I'll solve each of these fraction multiplication word problems step by step.
Problem 1:
There was 5/6 of a pie left in the fridge. Daniel ate 2/3 of the leftover pie. How much of a pie did he have?
Step-by-step:
- We need to find 2/3 of 5/6
- To multiply fractions, we multiply numerators and denominators: (2 × 5)/(3 × 6)
- This gives us 10/18
- We can simplify this fraction by dividing both numerator and denominator by 2
- 10 ÷ 2 = 5
- 18 ÷ 2 = 9
- So the answer is 5/9 of a pie
Problem 2:
Olivia took out 8 glasses and poured juice from the pitcher. The capacity of each glass is 1/4 liter. If there was enough juice for 6 glasses, how much juice was there?
Step-by-step:
- Each glass holds 1/4 liter
- There was enough juice for 6 glasses
- We need to find: 6 × 1/4
- This equals 6/4 liters
- We can simplify: 6 2 = 3, and 4 2 = 2
- So we get 3/2 liters
- As a mixed number: 3/2 = 1 1/2 liters
Problem 3:
Pam baked some cupcakes for her friends. She baked 24 cupcakes. Each cupcake is 1/8 pound. If she packed 6 cupcakes in each box, what is the weight of each box?
Step-by-step:
- Each box contains 6 cupcakes
- Each cupcake weighs 1/8 pound
- We need to find: 6 × 1/8
- This equals 6/8 pounds
- We can simplify: 6 2 = 3, and 8 ÷ 2 = 4
- So the answer is 3/4 pound per box
Final Answer:
1. 5/9 of a pie
2. 1 1/2 liters (or 3/2 liters)
3. 3/4 pound
Parent Tip: Review the logic above to help your child master the concept of 6th grade math word problem worksheet.
