Equivalent Fractions — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Maya ate 2/4 of a pizza and Jake ate 1/2 of an identical pizza. Who ate more?
A) Maya
B) Jake
C) They ate the same amount
D) Cannot be determined
2/4 simplifies to 1/2, so Maya and Jake ate the exact same amount.
2. Which fraction is equivalent to 3/4?
A) 6/8
B) 4/5
C) 5/6
D) 2/3
Doubling both parts of 3/4 gives 6/8, the only equivalent fraction listed.
3. On a number line from 0 to 1 split into 8 equal parts, where does 1/2 land?
A) At 2/8
B) At 4/8
C) At 6/8
D) At 8/8
1/2 is equivalent to 4/8, so it lands on the fourth tick mark out of 8.
4. Which list contains only fractions equivalent to 1/3?
A) 1/3, 2/6, 3/9
B) 1/3, 2/4, 3/6
C) 1/3, 2/5, 3/7
D) 1/3, 3/6, 4/8
2/6 (times 2) and 3/9 (times 3) are both equivalent to 1/3, so the first list is correct.
Part B: Fill in the Blank
Write the correct answer on each line.
1. Sara colored 4/8 of her grid and Tom colored 1/2 of his identical grid. Together they colored equal amounts because 4/8 = 1/2.
4/8 reduces to 1/2 because 4 is half of 8, so both colored the same amount.
2. Which fraction equals 2/3? 4/6.
Multiplying numerator and denominator of 2/3 by 2 gives 4/6, an equivalent fraction.
3. Lily drew a number line and marked 3/6. This is equivalent to 1/2.
3/6 simplifies to 1/2 because both share a factor of 3.
4. To compare 1/2 and 3/8, rewrite 1/2 as 4/8.
Multiplying numerator and denominator of 1/2 by 4 gives 4/8, making comparison with 3/8 easy.
5. Of the fractions 2/4, 3/6, and 2/5, the one NOT equivalent to 1/2 is 2/5.
2/4 and 3/6 both simplify to 1/2, but 2/5 does not, so 2/5 is the odd one out.