Grade 4 Fractions and Percentages

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Questions and Answers

Which fraction is equivalent to $\frac{1}{3}$?

  • $\frac{4}{10}$
  • $\frac{3}{9}$ (correct)
  • $\frac{2}{9}$
  • $\frac{3}{6}$

If a pizza is cut into 8 slices and you eat 2, what fraction of the pizza did you consume?

  • $\frac{1}{4}$ (correct)
  • $\frac{1}{2}$
  • $\frac{1}{3}$
  • $\frac{1}{8}$

If you divide a cake into 12 equal slices and want to give a quarter of the cake away, how many slices would that be?

  • 2 slices
  • 3 slices (correct)
  • 6 slices
  • 4 slices

Jenny has a ribbon that is $\frac{7}{10}$ of a meter long. Tina has a ribbon that is $\frac{5}{10}$ of a meter long. How much longer is Jenny’s ribbon than Tina’s?

<p>$\frac{1}{5}$ of a meter (C)</p> Signup and view all the answers

Which of the following fractions is in its simplest form?

<p>$\frac{3}{7}$ (B)</p> Signup and view all the answers

What percentage is equivalent to the fraction $\frac{1}{5}$?

<p>20% (D)</p> Signup and view all the answers

If 70% of the students in a class prefer pizza, what fraction of the class prefers pizza?

<p>$\frac{7}{10}$ (A)</p> Signup and view all the answers

If you have 10 apples and give away 40% of them, how many apples did you give away?

<p>4 apples (A)</p> Signup and view all the answers

Which decimal is equivalent to $\frac{3}{4}$?

<p>0.75 (C)</p> Signup and view all the answers

Convert 0.8 into a fraction in its simplest form.

<p>$\frac{4}{5}$ (B)</p> Signup and view all the answers

Which representation is equivalent to 25%?

<p>0.25 (A)</p> Signup and view all the answers

What is 0.6 as a percentage?

<p>60% (D)</p> Signup and view all the answers

Which of the following fractions represents the same value as 50%?

<p>$\frac{1}{2}$ (C)</p> Signup and view all the answers

What percentage of a circle is represented by a sector that is $\frac{1}{4}$ of the circle?

<p>25% (C)</p> Signup and view all the answers

If a shirt costs $20 and is on sale for 10% off, how much money do you save?

<p>$2 (D)</p> Signup and view all the answers

You have 25 marbles and 5 are blue. What fraction of the marbles are blue?

<p>$\frac{1}{5}$ (A)</p> Signup and view all the answers

If $\frac{2}{5}$ of a garden is planted with roses, what percentage of the garden is planted with roses?

<p>40% (C)</p> Signup and view all the answers

Sarah has read $\frac{1}{3}$ of her book. What percentage of the book has she not yet read?

<p>66.7% (A)</p> Signup and view all the answers

Which decimal is bigger: 0.4 or 0.39?

<p>0.4 (C)</p> Signup and view all the answers

Which of these fractions is the largest?

<p>$\frac{1}{2}$ (D)</p> Signup and view all the answers

If you shade 50 squares on a 10x10 grid, what percentage of the grid is shaded?

<p>50% (B)</p> Signup and view all the answers

Express 0.07 as a percentage.

<p>7% (D)</p> Signup and view all the answers

If a farmer plants $\frac{3}{5}$ of his field, what percentage of his field is unplanted?

<p>40% (A)</p> Signup and view all the answers

A baker sells 24 cookies each day. If 75% of them are chocolate chip, how many chocolate chip cookies are sold daily?

<p>18 (C)</p> Signup and view all the answers

If a class has 30 students and $\frac{2}{3}$ of them are girls, how many girls are in the class?

<p>20 (D)</p> Signup and view all the answers

If a store offers a 20% discount on an item originally priced at $50, what would the sale price be?

<p>$40 (A)</p> Signup and view all the answers

Which is the greatest percentage: $\frac{1}{2}$, $\frac{2}{5}$, or $\frac{3}{10}$?

<p>$\frac{1}{2}$ (C)</p> Signup and view all the answers

If a movie ticket costs $12 and there is a 25% off deal, what will the discounted price be?

<p>$9 (A)</p> Signup and view all the answers

Express $\frac{17}{100}$ as a percentage.

<p>17% (A)</p> Signup and view all the answers

If Tim spends 30% of his day sleeping, how many hours does he sleep?

<p>7.2 hours (A)</p> Signup and view all the answers

A pie is cut into 6 slices. What fraction represents 2 slices of the pie?

<p>$\frac{1}{3}$ (D)</p> Signup and view all the answers

Convert $\frac{1}{8}$ to a decimal.

<p>0.125 (D)</p> Signup and view all the answers

During a sale, a shop gives a 15% discount. If the original price of a book is $20, what is the discount amount?

<p>$3 (D)</p> Signup and view all the answers

To simplify the fraction $\frac{12}{18}$, what number should you divide both the numerator and the denominator by?

<p>6 (B)</p> Signup and view all the answers

If you have 100 songs and 35 of them are pop, what percentage of the songs are not pop?

<p>65% (D)</p> Signup and view all the answers

What is the simplified fraction of $\frac{25}{75}$?

<p>$\frac{1}{3}$ (A)</p> Signup and view all the answers

What is 0.01 as a fraction?

<p>$\frac{1}{100}$ (C)</p> Signup and view all the answers

If $\frac{3}{4}$ of a group likes the color blue, what percentage of the group does not like the color blue?

<p>25% (C)</p> Signup and view all the answers

Flashcards

Equivalent Fractions

Fractions that represent the same whole or value.

Partitioning

Dividing a whole into equal parts.

Conversions

Converting fractions, decimals and percentages can represent the same part-whole relationship.

Decimals to Percentages

Multiply the decimal by 100.

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Percentages to Decimals

Divide the percentage by 100.

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Problem Solving Using R.I.C.E.

Read, Identify, Compute, Explain

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Partition

To divide into parts.

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Equivalent Fraction

To find an equal fraction.

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Study Notes

  • Study notes on fractions and percentages for Grade 4 Math (Alberta)

Equivalent Fractions

  • Equivalent fractions represent the same whole or value
  • Finding equivalent fractions can be achieved through partitioning, using fraction bars, number lines, or multiplication

Conversions

  • Fractions, decimals, and percentages can represent the same part-whole relationship
  • To convert decimals to percentages, multiply by 100, 0.27 x 100 = 27, which results in 27%
  • To convert percentages to decimals, divide by 100, 34 / 100 = 0.34
  • Decimals, fractions and percentages can be converted into one another, 0.53 is equal to 53/100 which is equal to 53%

Problem Solving Using R.I.C.E.

  • R.I.C.E to solve problems: Read, Identify, Compute, Explain

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