Solving Fraction Division Word Problems with Diagrams

The video tutorial covers solving word problems by dividing fractions. It includes three examples: a relay race where the total distance is divided by the distance each runner covers, calculating the number of lifeguard shifts needed for a pool open for a specific duration, and determining the time it takes for Erica to run home from school. Each problem is solved by visualizing the fractions and dividing them to find the solution.

How many runners are required to cover a 1.5 km relay race if each runs 1/4 km?

• 5 runners

• 6 runners

• 8 runners

• 4 runners

What is the total distance covered by 6 runners if each runs 1/4 km?

• 2.5 km

• 1 km

• 2 km

• 1.5 km

What fraction of a kilometer do 6 runners cover if each runs 1/4 km?

• 1 1/2 km

• 3/4 km

• 2 km

• 1/2 km

How many 1/4 km segments make up a 1.5 km distance?

• 4 segments

• 5 segments

• 6 segments

• 7 segments

How many lifeguard shifts are needed for a pool open 7.5 hours if each shift lasts 1.5 hours?

• 6 shifts

• 5 shifts

• 4 shifts

• 7 shifts

If a swimming pool is open for 7.5 hours, how long is each lifeguard shift to have exactly 5 shifts?

• 1 hour

• 1.5 hours

• 2.5 hours

• 2 hours

If each lifeguard shift is 1.5 hours long, how many shifts can fit in a 7.5-hour day?

• 6 shifts

• 5 shifts

• 4 shifts

• 3 shifts

Erica can run 1/6 of a mile in a minute. How far is her school if it takes her 4 minutes to run home?

• 1 mile

• 2/3 mile

• 1/2 mile

• 1/3 mile

How many minutes does it take Erica to run 2/3 of a mile if she runs 1/6 of a mile per minute?

• 3 minutes

• 4 minutes

• 6 minutes

• 5 minutes

If Erica runs at a speed of 1/6 mile per minute, how long does it take her to run a mile?

• 10 minutes

• 4 minutes

• 8 minutes

• 6 minutes