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Number Trail Grade 4 / Week 09 / Thursday
4/6
Week 09 · Multiply a fraction by a whole number

Thursday

The long hike
// Groups of fractions
⏱ about 15 min

Thursday: The long hike

Chris the Coyote tips his feathered hat and opens his storyteller's satchel.

"Gather close for a hiking tale," he says.

One sunny morning, Rosie the Rabbit led five friends up Lantern Hill.

Each friend carried a bottle with three fourths of a liter of water.

At the top, Bennie the Bear asked how much water they had carried in all.

Rosie counted on her paws: five groups of three fourths made fifteen fourths.

Bennie made wholes from the fourths. That was three and three fourths liters.

"So it is between three and four liters," Rosie said. "We carried plenty!"

Story: How much water?

Five friends each carry 3/4 liter. That is 5 groups of 3/4, or 5 × 3/4.

5 × 3 = 15, so the product is 15/4.

Twelve fourths make 3 wholes, with 3 fourths left. So 15/4 = 3 3/4 liters.

A jug marked 0 to 4 liters, filled to 3 3/4 liters
QUESTIONS ABOUT THE STORY
  • Read the question.
  • Tap your answer.
A bottleHow much water did each friend carry?
Five friends each carry 3/4 liter of water. How many liters in all?
The total is between which two whole numbers of liters?

More story problems

SOLVE THE STORY
  • Read the question.
  • Tap your answer.
Bennie fills 6 bags. Each holds 2/3 kilogram of apples. How many kilograms in all?
Hazel walks 5/8 mile to the pond on 3 days. How far does she walk in all?
Lizzy's sprout grows 3/10 centimeter each week. How much does it grow in 4 weeks?
Riley uses 1/4 meter of string for each kite tail. He makes 8 tails. How many meters?
WHICH NUMBER SENTENCE FITS?
  • Read the question.
  • Tap your answer.
A cupRiley fills 4 cups. Each cup holds 2/3 cup of seeds.
A deerDonnie walks 7/10 kilometer each day for 5 days.
ESTIMATE
  • Read the question.
  • Tap your answer.
Seven friends each pick 3/8 kilogram of berries. The total is between which two whole numbers?
Rosie hops 4/5 meter, 3 times. The total is between which two whole numbers?
SentenceTrue or false?
5 × 3/4 = 15/4?
15/4 = 3 3/4?
6 × 2/3 = 4?
3 × 5/8 = 15/24?
WHY THIS EXERCISE3 × 5/8 is 15/8, not 15/24. The pieces are still eighths.
Try it
Make up your own hiking story with a fraction in it.
Choose how many friends go, and how much each one carries.
Write the times sentence and find the product.
Tell your story to someone at home.
Draw the five friends and their bottles. Shade 3/4 of each bottle.

What a hike! Tomorrow Freddy has a fraction game.

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