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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
Jack wants to list 6/12 as a sum of unit fractions. Which of the following should he write?
  1. 1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/12
  2. 1/12 + 5/12
  3. 1/12 + 2/12 + 3/12
  4. 2/12 + 2/12 + 2/12
Grade 4 Fractions and Ratios CCSS: 4.NF.B.3, 4.NF.B.3b
Matthew's dad sells golf balls online. He sells 3/5 of the golf balls. Which is equivalent to 3/5?
  1. 1/5 + 1/5 + 1/5
  2. 2/5 + 2/5 + 2/5
  3. 1/5 + 1/5 + 2/5
  4. 1/5 + 2/5 + 1/5
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. 42+12
  2. 34+24
  3. 26+36
  4. 18+48
Grade 4 Fractions and Ratios CCSS: 4.NF.B.3, 4.NF.B.3b
58 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 58?
  1. 3+8
  2. 38+58
  3. 18+18+18+18+18
  4. 58+58+58+58+58
Grade 4 Fractions and Ratios CCSS: 4.NF.B.3, 4.NF.B.3b
35 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 35?
  1. 3+5
  2. 25+35
  3. 15+15+15
  4. 35+35+35
Grade 4 Mixed Numbers CCSS: 4.NF.B.3, 4.NF.B.3b
The mixed number 225 can also be expressed as which of the following?
  1. 1+15+15
  2. 1+25+25
  3. 2+15+15
  4. 2+25+25
Grade 4 Fractions and Ratios CCSS: 4.NF.B.3, 4.NF.B.3b
37 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 37?
  1. 3+4
  2. 37+47
  3. 17+17+17
  4. 37+37+37

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