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2/6
Week 08 · Add and subtract fractions

Tuesday

Add and subtract like fractions
// Join and take away parts of the same whole
⏱ about 15 min

Tuesday: Add and subtract like fractions

Donnie leads Bennie to a quiet pond where water lilies are blooming.

"This morning 3/8 of the pond was covered with lily pads," says Donnie.

"Since then, the lilies spread across 2/8 more."

Bennie thinks. "Both fractions are eighths of the same pond."

"So we add the eighths: 3 eighths and 2 eighths make 5 eighths."

Donnie nods. "And if a duck pushed 1/8 of the pads away?"

"Then we subtract 1 eighth," Bennie says. "That leaves 4/8."

Learn it: add the numerators

Two bars cut into eighths, one with three shaded and one with five shaded

3/8 + 2/8 = 5/8. We add eighths to eighths.

The denominator stays 8. It names the size of the parts.

5/8 - 1/8 = 4/8. We take away eighths from eighths.

Adding the denominators would change the size of the parts. That is a common mistake.

ADD FRACTIONS
  • Read the question.
  • Tap your answer.
3/8 + 2/8 = ?
1/5 + 2/5 = ?
4/10 + 3/10 = ?
5/12 + 6/12 = ?
SUBTRACT FRACTIONS
  • Read the question.
  • Tap your answer.
5/8 - 1/8 = ?
7/10 - 4/10 = ?
5/6 - 2/6 = ?
11/12 - 6/12 = ?

Learn it: when the sum is more than one

4/6 + 5/6 = 9/6.

That is 6/6 and 3/6 more. So 9/6 = 1 3/6.

A number line from 0 to 2 in sixths, with a dot at 9/6
SUMS PAST ONE WHOLE
  • Read the question.
  • Tap your answer.
4/6 + 5/6 = ?
3/4 + 3/4 = ?
7/8 + 4/8 = ?
5/10 + 5/10 = ?
STORY PROBLEMS
  • Read the question.
  • Tap your answer.
A pondLilies cover 3/8 of the pond, then 2/8 more. How much is covered?
A trailDonnie walks 9/10 mile. He has walked 3/10 mile so far. How far is left?
Bennie fills 2/5 of a jug, then 2/5 more. How full is the jug?
SentenceTrue or false?
3/8 + 2/8 = 5/8?
3/8 + 2/8 = 5/16?
7/10 - 4/10 = 3/10?
4/6 + 5/6 = 1 3/6?
WHY THIS EXERCISE3/8 + 2/8 is 5/8, not 5/16. The parts are still eighths.
Try it
Fold a paper strip into 8 equal parts.
Color 3 parts blue and 2 parts red.
What fraction is colored? Write the addition sentence.
Draw a number line from 0 to 1 in eighths. Show 3/8 + 2/8 with hops.

Lovely adding! Tomorrow we add mixed numbers.

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