Elementary School Math Quiz: Generate And Explain Equivalent Fractions

What this quiz covers

This quiz focuses on Generate And Explain Equivalent Fractions, giving you a quick way to practice the rules, question types, and explanations that matter most for Elementary School Math.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

Question 1

1. $\frac{2}{4}$
2. $\frac{6}{4}$
3. $\frac{4}{6}$
4. $\frac{3}{4}$ (correct answer)

Question 2

1. $\frac{1}{8}$, because only the bottom number was multiplied by 2
2. $\frac{2}{6}$, because we add 1 to each part
3. $\frac{4}{16}$, because we multiply the top and bottom by 4 (correct answer)
4. $\frac{5}{9}$, because we add 4 to each part

Question 3

1. Both fractions have small numerators, so they must represent the same amount
2. Dividing both the numerator and denominator of $\frac{2}{8}$ by $2$ gives $\frac{1}{4}$, so the fractions are equal (correct answer)
3. Both fractions have even numbers in them, which makes them equivalent to each other
4. Multiplying both the numerator and denominator of $\frac{2}{8}$ by $4$ gives $\frac{1}{4}$, so the fractions are equal

Question 4

1. $\frac{2}{6}$
2. $\frac{3}{6}$
3. $\frac{4}{6}$ (correct answer)
4. $\frac{5}{6}$

Question 5

1. Step 1: $\frac{5}{10}$, Step 2: Divide top by 5, Step 3: $\frac{1}{10}$, Step 4: Not equivalent
2. Step 1: $\frac{5}{10}$, Step 2: Multiply both by 2, Step 3: $\frac{10}{20}$, Step 4: Equivalent fractions
3. Step 1: $\frac{5}{10}$, Step 2: Add 5 to both parts, Step 3: $\frac{10}{15}$, Step 4: Equivalent fractions
4. Step 1: $\frac{5}{10}$, Step 2: Divide both by 5, Step 3: $\frac{1}{2}$, Step 4: Equivalent fractions (correct answer)

Question 6

1. 3 pieces, because $\frac{2}{6} = \frac{3}{12}$
2. 4 pieces, because $\frac{2}{6} = \frac{4}{12}$ (correct answer)
3. 6 pieces, because Jake's pizza has twice as many pieces
4. 2 pieces, because they both ate the same number of pieces

Question 7

1. $\frac{1}{2}$ (correct answer)
2. $\frac{2}{2}$
3. $\frac{1}{4}$
4. $\frac{4}{2}$

Question 8

1. Both fractions have a 2 in them, so the fractions must be equal in value.
2. When each third is split into 2 equal parts, you get 6 parts and 4 are shaded. (correct answer)
3. The difference between the top number and bottom number is the same in each fraction.
4. $4$ is $2$ more than $2$, and $6$ is $3$ more than $3$, so they match.

Question 9

1. They are equivalent because 4 + 8 = 12 and 1 + 2 = 3, showing the same pattern
2. They are equivalent because both strips show exactly the same length of shaded area (correct answer)
3. They are equivalent because you multiply 1/3 by 4 to get 4/12
4. They are equivalent because both fractions have the number 4 in them when you count carefully

Question 10

1. They are equivalent because 3 + 3 = 6 and 4 + 4 = 8, so we added the same amount
2. They are equivalent because both fractions show exactly the same amount of area shaded (correct answer)
3. They are equivalent because 6 is greater than 3 and 8 is greater than 4 by the same amount
4. They are equivalent because both fractions have an even number in the denominator

Question 11

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

Question 12

1. Both circles are divided into the same number of pieces.
2. The circles are the same size and the shaded regions cover the same amount. (correct answer)
3. Both fractions have a 2 in them.
4. The second circle has more shaded pieces, so it must be bigger.

Question 13

1. Multiply both the numerator and denominator by 3 (correct answer)
2. Add 10 to both the numerator and denominator
3. Multiply only the numerator by 5, keeping the denominator the same
4. Divide both the numerator and denominator by 3

Question 14

1. 3 slices
2. 4 slices
3. 6 slices (correct answer)
4. 8 slices

Question 15

1. $\frac{2}{4}$, $\frac{3}{6}$, $\frac{4}{8}$ (correct answer)
2. $\frac{2}{3}$, $\frac{3}{4}$, $\frac{4}{6}$
3. $\frac{1}{3}$, $\frac{2}{4}$, $\frac{3}{6}$
4. $\frac{2}{4}$, $\frac{2}{6}$, $\frac{2}{8}$

Question 16

1. $\frac{1}{4}$ (correct answer)
2. $\frac{1}{2}$
3. $\frac{2}{4}$
4. $\frac{1}{6}$

Question 17

1. 1
2. 2 (correct answer)
3. 3
4. 6

Question 18

1. $1/2$ (correct answer)
2. $3/4$
3. $2/8$
4. $2/3$

Question 19

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

Question 20

1. $\frac{1}{2}$ and $\frac{3}{6}$
2. $\frac{2}{4}$ and $\frac{4}{8}$
3. $\frac{1}{3}$ and $\frac{2}{6}$
4. $\frac{2}{3}$ and $\frac{3}{4}$ (correct answer)