Week 09 · Multiply a fraction by a whole number
Wednesday
Products bigger than one
// Groups of fractions
⏱ about 15 min
Wednesday: Products bigger than one
Rosie the Rabbit finds a row of flat stepping stones beside the creek.
Bennie the Bear paints a number line on them, from 0 to 3 meters.
"Each of my hops is three fourths of a meter," Rosie says proudly.
She takes four big hops and lands right on the 3.
"Four hops of three fourths is twelve fourths," says Bennie. "And twelve fourths is 3 wholes."
Rosie claps her paws. "So a product can be a whole number!"
"Or a mixed number," Bennie adds. "Let us find out how."
Learn it: wholes and mixed numbers
4 × 3/4 = 12/4.
Four fourths make 1 whole, so twelve fourths make 3 wholes. 12/4 = 3.
Now try 3 × 2/5 = 6/5.
Five fifths make 1 whole, and there is 1 fifth left over.
So 6/5 = 1 1/5. That is a mixed number.
WRITE IT AS A WHOLE OR MIXED NUMBER
- Read the question.
- Tap your answer.
12/4 = ?
6/5 = ?
7/3 = ?
11/8 = ?
MULTIPLY AND WRITE A MIXED NUMBER
- Read the question.
- Tap your answer.
3 × 3/4 = ?
5 × 2/3 = ?
4 × 3/8 = ?
6 × 2/4 = ?
BETWEEN WHICH WHOLE NUMBERS?
- Read the question.
- Tap your answer.
5 × 3/8 is between which two whole numbers?
7 × 2/5 is between which two whole numbers?
3 × 5/6 is between which two whole numbers?
4 × 5/3 is between which two whole numbers?
ORDER THE PRODUCTS
- Find each product.
- Tap them from least to greatest.
11st
22nd
33rd
44th
Find the product. Then make as many wholes as you can.
| Sentence | True or false? |
|---|---|
| 4 × 3/4 = 3 | ? |
| 6/5 = 1 1/5 | ? |
| 5 × 2/3 = 3 1/3 | ? |
| 3 × 3/4 = 2 3/4 | ? |
WHY THIS EXERCISE3 × 3/4 is 9/4. Eight fourths make 2 wholes, so 9/4 is 2 1/4.
Try it
Lay 3 paper strips end to end. Each strip is one whole.
Fold each strip into fourths and mark the folds.
Hop a small toy 3 fourths at a time.
After 4 hops, where does it land?
Fold each strip into fourths and mark the folds.
Hop a small toy 3 fourths at a time.
After 4 hops, where does it land?
Draw a number line from 0 to 2 in thirds. Show 5 × 1/3 with hops.
Super job! Tomorrow Chris tells a story about a long hike.