Quiz about Decompose with Unit Fractions

Question 1

Write the fraction as a sum of unit fractions.

Accepted Answer

$$\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}=\frac{4}{8}$$

Answer

$$\frac{2}{8}+\frac{2}{8}=\frac{4}{8}$$

Answer

$$\frac{3}{8}+\frac{1}{8}=\frac{4}{8}$$

Answer

$$\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}$$

Question 2

Write the fraction as a sum of unit fractions.

$$\frac{6}{6}$$

Accepted Answer

$$\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}=\frac{6}{6}$$

Answer

$$\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}=\frac{6}{6}$$

Answer

$$\frac{3}{6}+\frac{3}{6}=\frac{6}{6}$$

Answer

$$\frac{6}{6}=\frac{6}{6}$$

Question 3

Mrs. Burdick took the fraction $$\frac{3}{3}$$ and decomposed it into a sum of unit fractions.

She decomposed it like this $$\frac{3}{3}=\frac{1}{1}+\frac{1}{1}+\frac{1}{1}$$

Do you think Mrs. Burdick is correct or incorrect in her work? Why?

Accepted Answer

Mrs. Burdick is incorrect because the denominator did not stay the same. Also, $$\frac{1}{1}$$ is not a unit fraction. It is a whole. $$\frac{1}{1}+rac{1}{1}+rac{1}{1}=\frac{3}{1}$$

Answer

Mrs. Burdick is correct because $$\frac{1}{1}+rac{1}{1}+rac{1}{1}=\frac{3}{3}$$ . $$1+1+1=3$$ for the numerator and denominator.

Answer

Mrs. Burdick is correct because she did it right.

Answer

Mrs. Burdick is incorrect because she added it wrong.

Question 4

Write the fraction as a sum of unit fractions.

$$\frac{3}{4}$$

Accepted Answer

$$\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{3}{4}$$

Answer

$$\frac{1}{4}+\frac{2}{4}=\frac{3}{4}$$

Answer

$$\frac{1}{4}+\frac{1}{4}=\frac{3}{4}$$

Answer

$$\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=\frac{3}{4}$$

Question 5

Decompose this fraction.

Accepted Answer

1/4 +1/4 + 1/4 + 1/4 +1/4 1/4

Answer

1/6 + 1/6 +1/6 +1/6

Answer

1/4 + 1/4 + 1/4 +1/4 1/4

Question 6

Which describes breaking apart this model?

Accepted Answer

2/3 = 1/3 + 1/3

Answer

2/3 = 1/3 + 1/2

Answer

2/3 = 1/3 + 1/3 + 1/3

Question 7

How can you decompose 4/7?

Accepted Answer

all of the above

Answer

1/7 + 1/7 + 1/7 + 1/7

Answer

2/7 + 2/7

Answer

3/7 + 1/7

Question 8

Decompose the following fraction:
5/8

Accepted Answer

1/8 + 1/8 + 1/8 + 2/8

Answer

3/8 + 2/3

Answer

1/8 + 3/8

Answer

8/2 + 8/3

Question 9

Which shows the decomposition of the fraction in the model as the sum of smaller unit fractions?

Accepted Answer

1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6

Answer

1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8

Answer

1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6

Answer

1 + 4/6

Question 10

Write 5/7 as a unit fraction.

Accepted Answer

1/7 + 1/7 + 1/7 + 1/7 + 1/7

Answer

1/7 + 1/7 + 1/7 + 1/7 + 1/7 + 1/7 + 1/7

Answer

2/7 + 3/7

Answer

1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5

Question 11

Decompose this fraction.

Accepted Answer

1/4 + 1/4 + 1/4

Answer

1/4 + 1/4 + 1/4 +1/4

Answer

1/3 + 1/3 + 1/3

Question 12

Decompose the following fraction:
6/10

Accepted Answer

2/10 + 4/10

Answer

1/5 + 5/5

Answer

3/10 + 2/10

Answer

1/10 + 1/10 + 3/10

Question 13

Ms. Hall took the fraction $$\frac{3}{5}$$ and decomposed the fraction into a sum of unit fractions.

She did $$\frac{1}{5}+rac{1}{5}=rac{3}{5}$$

Do you agree with Ms. Hall's answer? Justify why or why not?

Accepted Answer

I disagree with Ms. Hall because she only used two parts and not three parts of her whole to decompose the fraction. It should have been $$\frac{1}{5}+rac{1}{5}+rac{1}{5}=rac{3}{5}$$ .

Answer

I agree with Ms. Hall because she used unit fractions to decompose $$\frac{3}{5}$$ .

Answer

I agree with Ms. Hall because she did it right.

Answer

I disagree with Ms. Hall because she forgot something.

Question 14

Using the model, create an equation that uses unit fractions for the fraction strip.

Accepted Answer

$$\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}=\frac{4}{6}$$

Answer

$$\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{4}{4}$$

Answer

$$\frac{2}{6}+\frac{2}{6}=\frac{4}{6}$$

Answer

$$\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}=\frac{6}{6}$$

Question 15

Mr. Bates and Ms. Ramirez were asked to determine what the fraction is based off of the unit fractions Mrs. Clark decomposed. $\frac{1}{8}+\frac{1}{8}+\frac{1}{8}=?$ Mr. Bates composed the unit fractions to get $\frac{3}{24}$ Ms. Ramirez composed the uint fractions to get $\frac{1}{3}$ Which teacher correctly answered Mrs. Clark?

Accepted Answer

No teacher is correct

Answer

Mr. Bates

Answer

Ms. Ramirez

Answer

Both teachers are correct

Question 16

What fraction of the rectangle is NOT colored in or is white?

Accepted Answer

$$\frac{3}{4}$$

Answer

$$\frac{1}{4}$$

Answer

$$\frac{1}{3}$$

Answer

$$\frac{2}{5}$$

Question 17

A unit fraction has _____ as its numerator.

Accepted Answer

1

Answer

2

Answer

3

Answer

4

Decompose with Unit Fractions

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