Tuesday
Tuesday: Groups of a fraction
Rosie the Rabbit has three lanterns to hang along the trail.
"Each lantern needs two fifths of a meter of ribbon," she says, tapping her chin.
"How much ribbon is that for all three?"
Bennie the Bear lays three paper strips on a flat rock. Each strip is cut into fifths.
He colors two fifths on every strip. "Now we can count," he says.
Rosie hops from strip to strip. "Two, four, six fifths!"
"Exactly," says Bennie. "Three groups of two fifths make six fifths."
Learn it: groups of a fraction
3 × 2/5 means 3 groups of 2/5.
Each 2/5 is 2 × 1/5, so each strip has 2 unit fractions.
Three strips have 3 × 2 = 6 unit fractions.
So 3 × 2/5 = 6 × 1/5 = 6/5.
Multiply the whole number by the numerator. The denominator stays the same.
Why does the denominator stay the same? The pieces are still fifths. We just have more of them.
- Read the question.
- Tap your answer.
- Read the question.
- Tap your answer.
- Read the question.
- Tap your answer.
Two groups of 4/6 are shaded. How much is that in all?
Four groups of 2/3 are shaded. How much is that in all?Which sentence matches the strips?- Think about how Bennie multiplies.
- Tap the steps in order.
| Sentence | True or false? |
|---|---|
| 3 × 2/5 = 6/5 | ? |
| 2 × 3/8 = 6/16 | ? |
| 4 × 2/10 = 8/10 | ? |
| 5 × 1/3 = 5/15 | ? |
Pour 3 scoops of water into the measuring cup.
Check the line. 3 × 1/4 = 3/4 cup.
If you have a 1/3 cup scoop, pour 2 scoops. Find 2 × 1/3.
Wonderful work! Tomorrow we find products bigger than one whole.