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 1/2 is equivalent to 2/3 because both are close to one half.
Corrected: The fraction 1/2 is equivalent to 2/4 because both show the same amount of the whole.
Equivalent fractions name the same amount; 1/2 doubled in numerator and denominator gives 2/4, not 2/3.
2. Fix the sentence:
To check if 2/4 equals 1/2, just compare the top numbers.
Corrected: To check if 2/4 equals 1/2, compare the size of the shaded part of the whole.
Fractions are equal when they cover the same portion of the whole; both numerator and denominator matter.
3. Fix the sentence:
3/6 is bigger than 1/2 because 3 and 6 are bigger numbers.
Corrected: 3/6 is equal to 1/2 because both show half of the whole.
Larger numbers in a fraction do not always mean a larger value; 3/6 simplifies to 1/2.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. The fraction 1/2 is equivalent to 2/4.
Multiplying numerator and denominator of 1/2 by 2 gives 2/4, an equivalent fraction.
2. If you cut a pizza into 6 equal slices and eat 3, you ate 1/2 of the pizza.
3/6 simplifies to 1/2 because both top and bottom can be divided by 3.
3. The fraction 1/4 is equivalent to 2/8.
Multiplying 1 and 4 each by 2 yields 2/8, which names the same amount as 1/4.
4. The top number in a fraction is called the numerator.
The numerator counts the shaded or chosen parts of the whole.
Part C: True or False?
Read each statement. Circle True or False.
1. 1/2 and 3/6 are equivalent fractions.
True False
Both fractions represent the same half of the whole, so they are equivalent.
2. 1/3 and 1/4 are equivalent fractions.
True False
Splitting a whole into 3 parts gives bigger pieces than splitting it into 4, so the fractions differ.
3. 2/4 names the same amount as 1/2 on a number line.
True False
On a number line from 0 to 1, 2/4 and 1/2 both mark the midpoint.