Equivalent Fractions — Answer Key
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
A chocolate bar split into 8 equal pieces with 4 eaten shows 4/8 which is not the same as 1/2.
Corrected: A chocolate bar split into 8 equal pieces with 4 eaten shows 4/8 which is the same as 1/2.
4/8 simplifies to 1/2 because 4 is half of 8, so both fractions show the same amount.
2. Fix the sentence:
Two equivalent fractions must always have the same numerator.
Corrected: Two equivalent fractions can have different numerators and denominators but show the same amount.
Equivalent fractions name one value, but their numerators and denominators can differ.
3. Fix the sentence:
On a number line, 2/3 and 4/6 land on different points.
Corrected: On a number line, 2/3 and 4/6 land on the same point.
2/3 and 4/6 are equivalent fractions, so they share the exact same spot on a number line.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. The fraction 2/3 is equivalent to 4/6.
Multiplying numerator and denominator of 2/3 by 2 yields 4/6, an equivalent fraction.
2. Half of a pizza cut into 8 slices is 4/8.
4 out of 8 slices equals 1/2 of the whole pizza, an equivalent fraction.
3. The bottom number of a fraction is called the denominator.
The denominator names how many equal pieces the whole has been divided into.
4. 3/4 is equivalent to 6/8.
Multiplying 3 and 4 each by 2 produces 6/8, which names the same amount as 3/4.
Part C: True or False?
Read each statement. Circle True or False.
1. 4/8 and 1/2 are equivalent fractions.
True False
Both fractions name the same half of the whole, making them equivalent.
2. 2/6 is the same as 1/3.
True False
2/6 simplifies to 1/3 because both numerator and denominator share the factor 2.
3. 3/4 and 2/3 are equivalent fractions.
True False
3/4 covers more of the whole than 2/3, so they cannot be equivalent.