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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.

Which expression has the same sum?
1. $4/2 + 1/2$
2. $3/4 + 2/4$
3. $2/6 + 3/6$
4. $1/8 + 4/8$
Grade 4 Fractions and Ratios CCSS: 4.NF.B.3, 4.NF.B.3b
$5/8$ of the animals shown are bunnies.

Which shows another way of expressing $5/8$?
1. $3 + 8$
2. $3/8 + 5/8$
3. $1/8 + 1/8 + 1/8 + 1/8 + 1/8$
4. $5/8 + 5/8 + 5/8+ 5/8 + 5/8$
Grade 4 Fractions and Ratios CCSS: 4.NF.B.3, 4.NF.B.3b
Grade 4 Fractions and Ratios CCSS: 4.NF.B.3, 4.NF.B.3b
$3/8$ 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?
1. $1/8$ and $2/8$
2. $1/8$ and $4/8$
3. $3/8$ and $5/8$
4. $3/8$ and $6/8$
Grade 4 Fractions and Ratios CCSS: 4.NF.B.3, 4.NF.B.3b
$3/5$ of the pictures shown are eggs.

Which shows another way of expressing $3/5$?
1. $3 + 5$
2. $2/5 + 3/5$
3. $1/5 + 1/5 + 1/5$
4. $3/5 + 3/5 + 3/5$
Grade 4 Mixed Numbers CCSS: 4.NF.B.3, 4.NF.B.3b
The mixed number $2 2/5$ can also be expressed as
1. $1 + 1/5 + 1/5$
2. $1 + 2/5 + 2/5$
3. $2 + 1/5 + 1/5$
4. $2 + 2/5 + 2/5$
Grade 4 Fractions and Ratios CCSS: 4.NF.B.3, 4.NF.B.3b
$3/7$ of the grilled items are hot dogs.

Which shows another way of expressing $3/7$?
1. $3 + 4$
2. $3/7 + 4/7$
3. $1/7 + 1/7 + 1/7$
4. $3/7 + 3/7 + 3/7$
Grade 4 Fractions and Ratios CCSS: 4.NF.B.3, 4.NF.B.3b
Grade 4 Fractions and Ratios CCSS: 4.NF.B.3, 4.NF.B.3b
Grade 4 Fractions and Ratios CCSS: 4.NF.B.3, 4.NF.B.3b
Grade 4 Fractions and Ratios CCSS: 4.NF.B.3, 4.NF.B.3b
Grade 4 Fractions and Ratios CCSS: 4.NF.B.3, 4.NF.B.3b
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