Equivalent Fractions — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. A ruler is divided into 12 equal parts. Where is 1/4 of the ruler located?
A) At the 2nd mark
B) At the 3rd mark
C) At the 4th mark
D) At the 6th mark
1/4 is equivalent to 3/12, so it lands at the third mark on a 12-part ruler.
2. Which fraction is NOT equivalent to 2/3?
A) 4/6
B) 6/9
C) 8/12
D) 5/9
4/6, 6/9, and 8/12 all reduce to 2/3, but 5/9 does not, so it is not equivalent.
3. Two friends share a candy bar. Maria takes 3/6 and Lin takes 1/2. What can you say?
A) Maria took more
B) Lin took more
C) They took equal amounts
D) There is no candy left
3/6 simplifies to 1/2, so both friends took equal amounts of the candy bar.
4. To make 3/5 have a denominator of 10, multiply both top and bottom by what number?
A) 1
B) 2
C) 3
D) 5
Multiplying numerator and denominator of 3/5 by 2 gives 6/10, an equivalent fraction.
Part B: Fill in the Blank
Write the correct answer on each line.
1. 5/10 is equivalent to 1/2.
Both 5 and 10 share the factor 5, so dividing yields 1/2 in simplest form.
2. To rewrite 1/3 with a denominator of 12, multiply both parts by 4.
Multiplying numerator and denominator by 4 produces 4/12, equivalent to 1/3.
3. Of 4/8, 2/4, and 3/5, the one NOT equivalent to 1/2 is 3/5.
4/8 and 2/4 both simplify to 1/2, but 3/5 does not, so 3/5 is the odd one.
4. On a number line in eighths, 1/4 lands at the 2/8 mark.
1/4 is equivalent to 2/8, so it lands at the 2/8 mark on the number line.
5. 6/9 simplifies to 2/3.
Both 6 and 9 share a factor of 3, so dividing yields 2/3 in simplest form.