Equivalent Fractions — Answer Key
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
The fraction 2/4 is equivalent to 1/3 because both look small.
Corrected: The fraction 2/4 is equivalent to 1/2 because both show the same amount.
Two of four equal slices fills the same area as one of two equal slices, so 2/4 equals 1/2.
2. Fix the sentence:
3/9 is equivalent to 1/2 because 3 is half of 9.
Corrected: 3/9 is equivalent to 1/3 because 3 divides into 9 three times.
Dividing top and bottom by the same number 3 gives 1/3, the simplest form of 3/9.
3. Fix the sentence:
6/8 is equivalent to 2/4 of a chocolate bar.
Corrected: 6/8 is equivalent to 3/4 of a chocolate bar.
Dividing the numerator 6 and denominator 8 by 2 gives 3/4, which equals 6/8.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. The fraction 4/8 is equivalent to 1/2 when written in simplest form.
Dividing top and bottom by 4 gives 1/2, so 4/8 equals 1/2.
2. Two tenths of a pie equals one fifth of the pie in simplest form.
2/10 simplifies to 1/5 because dividing both numbers by 2 gives one fifth.
3. If 1/2 of a pizza is shaded, then 2/4 of the same pizza is shaded.
Multiplying numerator and denominator of 1/2 by 2 gives 2/4, the same amount.
4. The fraction 3/6 is equivalent to 1/2 in simplest form.
Dividing top and bottom of 3/6 by 3 gives 1/2, the simplest equivalent.
Part C: True or False?
Read each statement. Circle True or False.
1. The fraction 2/8 is equivalent to 1/4 of a fraction bar.
True False
Dividing numerator and denominator by 2 gives 1/4, so 2/8 equals 1/4.
2. 5/10 is equivalent to 1/3 of a chocolate bar.
True False
5/10 simplifies to 1/2, not 1/3, because dividing by 5 gives one half.
3. On a number line, 2/6 lands at the same point as 1/3.
True False
2/6 simplifies to 1/3, so they share the exact same point on a number line.