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Common Core Standard 4.NF.B.3b Questions

Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.

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Grade 4 Fractions and Ratios CCSS: 4.NF.B.3, 4.NF.B.3b
The point on the number line shows the value of the sum of two fractions.
Number Lines 0-2 9
Which expression has the same sum?
  1. [math]4/2 + 1/2[/math]
  2. [math]3/4 + 2/4[/math]
  3. [math]2/6 + 3/6[/math]
  4. [math]1/8 + 4/8[/math]
Grade 4 Fractions and Ratios CCSS: 4.NF.B.3, 4.NF.B.3b
[math]5/8[/math] of the animals shown are bunnies.
Easter - Yellow Chick - SmallEaster - Yellow Chick - SmallEaster - Yellow Chick - SmallEaster - Bunny - SmallEaster - Bunny - SmallEaster - Bunny - SmallEaster - Bunny - SmallEaster - Bunny - Small
Which shows another way of expressing [math]5/8[/math]?
  1. [math]3 + 8[/math]
  2. [math]3/8 + 5/8[/math]
  3. [math]1/8 + 1/8 + 1/8 + 1/8 + 1/8[/math]
  4. [math]5/8 + 5/8 + 5/8+ 5/8 + 5/8[/math]
Grade 4 Fractions and Ratios CCSS: 4.NF.B.3, 4.NF.B.3b
[math]3/8 [/math] of the fireworks are yellow. The remaining fireworks are red and blue. Which set of fractions could represent the fraction of fireworks that are red and blue?
American - Fireworks
  1. [math]1/8[/math] and [math]2/8[/math]
  2. [math]1/8[/math] and [math]4/8[/math]
  3. [math]3/8[/math] and [math]5/8[/math]
  4. [math]3/8[/math] and [math]6/8[/math]
Grade 4 Fractions and Ratios CCSS: 4.NF.B.3, 4.NF.B.3b
[math]3/5[/math] of the pictures shown are eggs.
Easter - Yellow Chick - SmallEaster - Yellow Chick - SmallEaster - Egg 2 - SmallEaster - Egg 2 - SmallEaster - Egg 2 - Small
Which shows another way of expressing [math]3/5[/math]?
  1. [math]3 + 5[/math]
  2. [math]2/5 + 3/5[/math]
  3. [math]1/5 + 1/5 + 1/5[/math]
  4. [math]3/5 + 3/5 + 3/5[/math]
Grade 4 Mixed Numbers CCSS: 4.NF.B.3, 4.NF.B.3b
The mixed number [math]2 2/5[/math] can also be expressed as
  1. [math]1 + 1/5 + 1/5[/math]
  2. [math]1 + 2/5 + 2/5[/math]
  3. [math]2 + 1/5 + 1/5[/math]
  4. [math]2 + 2/5 + 2/5[/math]
Grade 4 Fractions and Ratios CCSS: 4.NF.B.3, 4.NF.B.3b
[math]3/7[/math] of the grilled items are hot dogs.
Summer - Hamburger - SmallSummer - Hot Dog - SmallSummer - Hamburger - SmallSummer - Hamburger - SmallSummer - Hot Dog - SmallSummer - Hamburger - SmallSummer - Hot Dog - Small
Which shows another way of expressing [math]3/7[/math]?
  1. [math]3 + 4[/math]
  2. [math]3/7 + 4/7[/math]
  3. [math]1/7 + 1/7 + 1/7[/math]
  4. [math]3/7 + 3/7 + 3/7[/math]

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