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 2/6 is equivalent to 1/2 because two is half of six.
Corrected: The fraction 2/6 is equivalent to 1/3 because dividing both by 2 gives 1/3.
Dividing the numerator 2 and denominator 6 by 2 gives 1/3, which equals 2/6.
2. Fix the sentence:
4/10 is equivalent to 1/5 of a pie in simplest form.
Corrected: 4/10 is equivalent to 2/5 of a pie in simplest form.
Dividing top and bottom of 4/10 by 2 gives 2/5, the correct simplest form.
3. Fix the sentence:
8/12 is equivalent to 1/3 of a chocolate bar.
Corrected: 8/12 is equivalent to 2/3 of a chocolate bar.
Dividing numerator 8 and denominator 12 by 4 gives 2/3, which equals 8/12.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. The fraction 3/12 is equivalent to 1/4 in simplest form.
Dividing top and bottom of 3/12 by 3 gives 1/4, the simplest equivalent.
2. If 2/3 of a pizza is shaded, then 4/6 of the pizza is shaded.
Multiplying numerator and denominator of 2/3 by 2 gives 4/6, the same amount.
3. The fraction 6/10 is equivalent to 3/5 in simplest form.
Dividing numerator and denominator of 6/10 by 2 gives 3/5, the simplest form.
4. Two fourths of a fraction bar equals one half of the bar.
2/4 simplifies to 1/2 because dividing top and bottom by 2 gives one half.
Part C: True or False?
Read each statement. Circle True or False.
1. The fraction 4/6 is equivalent to 2/3 on a number line.
True False
4/6 simplifies to 2/3, so both fractions share the exact same point on a number line.
2. 9/12 is equivalent to 2/3 of a chocolate bar.
True False
9/12 simplifies to 3/4, not 2/3, because dividing top and bottom by 3 gives 3/4.
3. The fraction 5/15 is equivalent to 1/3 in simplest form.
True False
Dividing numerator 5 and denominator 15 by 5 gives 1/3, the simplest equivalent.