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# Fractions and Decimals (Grade 4)

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## Fractions and Decimals

1.
Avery measures the height her plant grows each week for two weeks. The first week the plant grows $1/10$ meter. The second week the plant grows $14/100$ meter.
A.
What fraction is equivalent to $1/10$ and has a denominator of 100?
1. $1/100$
2. $10/100$
3. $11/100$
4. $101/100$
B.
What was the total plant growth, in meters, for the two weeks?
1. $2 4/10$
2. $1 5/10$
3. $24/100$
4. $15/100$
2.
Which THREE comparisons are correct?
1. 0.5 gram < 0.05 gram
2. 0.62 gram > 0.61 gram
3. 0.25 gram < 0.52 gram
4. 0.8 gram > 0.9 gram
5. 0.42 gram < 0.4 gram
6. 0.55 gram > 0.5 gram
3.
The rectangle is divided into 10 equal sections.

John colors 2 of the sections. Then he colors 5 more sections.

Which TWO of these represent the fraction of the rectangle that John colors in all? Select TWO correct answers.
1. $2 + 5$
2. $2/10 + 5/10$
3. $7 + 1/10$
4. $1/10+ 1/10 + 1/10 +1/10 + 1/10 + 1/10+1/10$
5. $10/2 + 10/5$
4.
Select the correct symbol for the blank to complete the comparison.

$4/3$               $7/6$
1. $<$
2. $=$
3. $>$
5.
Which expression is equivalent to $5 xx 3/4$?
1. $2 xx 3/4$
2. $5 xx 1/4$
3. $15 xx 1/4$
4. $15 xx 1/2$
6.
In this problem you will compare the decimal representations of the fractions $1/2$ and $3/4$.

Two circles, Circle A and Circle B, are shown below. The circles are equal size. Circle A is divided into 2 sections of equal size. Circle B is divided into 4 sections of equal size. You can use the circles to help you solve the problems.

Circle A -
Circle B -
A.
Write a fraction with a denominator of 4 that is equivalent to $1/2$. Use the circles to explain why the fractions are equivalent.

B.
Write $1/2$ as a decimal. Then write $3/4$ as a decimal. Explain how you can use the circles to compare the decimals.

7.
Which pair of fractions is equivalent?
1. $1/2 and 3/4$
2. $3/4 and 6/8$
3. $6/8 and 2/3$
4. $2/3 and 3/5$
8.
A desk is 0.8 meter long.

What number should replace the box to make the fraction equivalent to 0.8?

$square/10$
1. 2
2. 8
3. 20
4. 80
9.
Which pairs of fractions shows a correct comparison?

1. $2/3 = 5/10$
2. $2/3 < 1/6$
3. $2/3 > 3/9$
4. $1/3 = 4/12$
5. $1/3 <3/10$
6. $1/3 > 5/6$
10.
Devon makes 7 picture frames. He uses $2/5$ meter of wood to make each frame. What is the total amount of wood, in meters, that Devon uses to make all 7 frames?
1. $1 4/5$
2. $2 4/5$
3. $7 2/5$
4. $17 1/2$
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