Equivalent Fractions
Equivalent Fractions is a free, printable Grade 4 Math worksheet — 6 questions with an answer key, aligned to CCSS.MATH.CONTENT.4.NF.A.1. Lessonpress generated it in about a minute, and you can make your own for any K–5 grade, standard, or skill.
Recognize and generate equivalent fractions, and explain why two fractions are equivalent using visual fraction models.
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Answer key
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- 1.
Look at the fraction strips below. Find two fractions that are equivalent to 1/2. Write both fractions on the lines provided.
Answer: Any two of these are equivalent to 1/2: 2/4, 3/6, 4/8.
- 2.
The bar model shows a fraction. Write an equivalent fraction with a denominator of 8 by multiplying the numerator and denominator by the same number. Show your multiplication.
Answer: 3/4 = 6/8 because 3 x 2 = 6 and 4 x 2 = 8
- 3.
Maya says that 2/3 and 4/6 are equivalent fractions. Which statement BEST explains why she is correct?
Answer: Multiplying both the numerator and denominator of 2/3 by 2 gives 4/6, so the fractions name the same part of a whole.
- 4.
Jamal says that 3/5 is equivalent to a fraction with a denominator of 20. The missing numerator is ___.
Answer: 12, because 3 x 4 = 12 and 5 x 4 = 20, so 3/5 = 12/20
- 5.
Priya placed a point at 3/4 on the number line below. Name one equivalent fraction that would land on the exact same point if the number line were divided into eighths. Explain how you know.
Answer: 6/8 lands on the same point as 3/4 because 3 x 2 = 6 and 4 x 2 = 8, so both fractions represent the same distance from 0 on the number line
- 6.
Esperanza and Omar each ate the same amount of a granola bar. Esperanza says she ate 4/6 of her bar. Omar says he ate 2/3 of his bar. Their bars were the same size. Imani says they ate different amounts because the fractions look different. Is Imani correct? Use multiplication or a model to justify your answer.
Answer: Imani is not correct. 2/3 and 4/6 are equivalent fractions. Multiplying both the numerator and denominator of 2/3 by 2 gives 4/6 (2 x 2 = 4 and 3 x 2 = 6). Since the fractions are equivalent and the bars were the same size, Esperanza and Omar ate the same amount.
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Common questions
What grade is the "Equivalent Fractions" worksheet for?
Grade 4. It's calibrated to the Grade 4 reading load and content, and aligned to CCSS.MATH.CONTENT.4.NF.A.1.
What standard does this Math worksheet cover?
CCSS.MATH.CONTENT.4.NF.A.1, from the Common Core State Standards for Mathematics: Recognize and generate equivalent fractions, and explain why two fractions are equivalent using visual fraction models.
Is this worksheet free to print or download?
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