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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 [math]1/10[/math] meter. The second week the plant grows [math]14/100[/math] meter.
A. 
What fraction is equivalent to [math]1/10[/math] and has a denominator of 100?
  1. [math]1/100[/math]
  2. [math]10/100[/math]
  3. [math]11/100[/math]
  4. [math]101/100[/math]
B. 
What was the total plant growth, in meters, for the two weeks?
  1. [math]2 4/10[/math]
  2. [math]1 5/10[/math]
  3. [math]24/100[/math]
  4. [math]15/100[/math]
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.
Unit Squares 1
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. [math]2 + 5[/math]
  2. [math]2/10 + 5/10[/math]
  3. [math]7 + 1/10[/math]
  4. [math]1/10+ 1/10 + 1/10 +1/10 + 1/10 + 1/10+1/10[/math]
  5. [math]10/2 + 10/5[/math]
4. 
Select the correct symbol for the blank to complete the comparison.

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

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 0/2
Circle B - Circle 0/4
A. 
Write a fraction with a denominator of 4 that is equivalent to [math]1/2[/math]. Use the circles to explain why the fractions are equivalent.



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



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

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

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

Select the TWO correct answers.
  1. [math]2/3 = 5/10[/math]
  2. [math]2/3 < 1/6[/math]
  3. [math]2/3 > 3/9[/math]
  4. [math]1/3 = 4/12[/math]
  5. [math]1/3 <3/10[/math]
  6. [math]1/3 > 5/6[/math]
10. 
Devon makes 7 picture frames. He uses [math]2/5[/math] 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. [math]1 4/5[/math]
  2. [math]2 4/5[/math]
  3. [math]7 2/5[/math]
  4. [math]17 1/2[/math]

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