"Draft 5 math word problems involving [fractions] using a [Theme, e.g., superhero] context." Explain the solution. Generate a graphic for each problem.
Here are five math word problems involving fractions, set in a superhero theme.
Problem 1: Captain Fraction's Power
Captain Fraction's power meter is currently at 3/4 of its maximum capacity. To defeat a villain, he must use 1/4 of his total power. What fraction of his power will be left after the battle?
Solution:
To find the remaining power, we need to subtract the power used from the current power level. Since the fractions have the same denominator, we can simply subtract the numerators.
The fraction 2/4 can be simplified to 1/2. So, Captain Fraction will have 1/2 of his power left.
Problem 2: The Villain Capture Contest
Superheroes Bolt and Violet are in a contest to see who can capture more villains. There are a total of 8 villains. Bolt has captured 3/8 of the villains, and Violet has captured 4/8 of them. Who has captured more villains, and by what fraction?
Solution:
To compare the fractions, we can see that they have the same denominator. Therefore, we just compare the numerators.
4 is greater than 3, so 4/8 is greater than 3/8. Violet has captured more villains.
To find the difference, we subtract the smaller fraction from the larger one:
Violet captured 1/8 more of the villains than Bolt.
Problem 3: Assembling the Mission Puzzle
A team of superheroes is working together to complete a mission that is represented by a puzzle. They have already completed 2/5 of the puzzle. Today, they complete another 1/5 of the puzzle. What fraction of the mission puzzle is now complete?
Solution:
To find the total fraction of the puzzle that is complete, we need to add the two fractions. Since they have the same denominator, we can simply add the numerators.
The superhero team has now completed 3/5 of the mission puzzle.
Problem 4: The Energy Drain
Superhero Superman has an energy bar that is 7/8 full. A villain, Dr. Drain, uses a device to steal 1/4 of his total energy. What fraction of Superman's energy is left?
Solution:
To find the remaining energy, we must subtract the stolen energy fraction from the initial energy fraction. The fractions have different denominators (8 and 4).
First, we need to find a common denominator, which is 8.
We convert 1/4 to an equivalent fraction with a denominator of 8:
Now we can subtract the fractions:
Superman has 5/8 of his energy left.
Problem 5: The Super Flight
A superhero can fly a total distance of 20 miles on a single charge. They fly for a while and cover 3/4 of this total distance. How many miles did the superhero fly?
Solution:
To find the distance flown, we need to multiply the total distance by the fraction.
The superhero flew 15 miles.
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