4th Grade Equivalent Fractions Test with Point Values (PDF)
This grade 4 equivalent fractions test for 4th Grade covers equivalent fractions (Common Core 4.NF.A.1), with a free PDF to print.
Time and points
- Grade: Grade 4
- Chapter: Equivalent Fractions
- Standards: 4.NF.A.1
- Time: 45 minutes
- Total: 20 points
Grade 4 equivalent fractions test: questions
Question 1 – Strips [2 pts]
Write the fraction shaded in each strip. Then explain whether they are equal.
Question 2 – Missing numerators [2 pts]
Find each missing number.
- \(\frac{3}{5} = \frac{?}{10}\) (1 point)
- \(\frac{5}{6} = \frac{?}{12}\) (1 point)
Question 3 – Hundredths [2 pts]
Find each missing number.
- \(\frac{7}{10} = \frac{?}{100}\) (1 point)
- \(\frac{4}{5} = \frac{?}{100}\) (1 point)
Question 4 – Which are equal? [2 pts]
Which of these fractions are equivalent to \(\frac{3}{4}\)? \(\frac{6}{8}\), \(\frac{9}{12}\), \(\frac{8}{12}\), \(\frac{5}{6}\).
Question 5 – Ethan's error [2 pts]
Ethan says \(\frac{2}{3}\) = \(\frac{3}{4}\) because he added 1 to the numerator and 1 to the denominator. Explain his mistake. Then write \(\frac{2}{3}\) with denominator 12.
Question 6 – Number lines [3 pts]
The dot on the top number line is at \(\frac{2}{4}\).
- Write the fraction at the dot on the bottom number line. (1 point)
- Write an equation using the two fractions. (1 point)
- Write the same amount as a fraction with denominator 10. (1 point)
Question 7 – Store fractions [3 pts]
The school store sold \(\frac{3}{10}\) of its pencils on Monday.
- Write \(\frac{3}{10}\) as hundredths. (1 point)
- Write \(\frac{25}{100}\) as an equivalent fraction with denominator 4. (1 point)
- Write \(\frac{6}{8}\) as an equivalent fraction with denominator 4. (1 point)
Question 8 – Pizza comparison [3 pts]
Noah ate \(\frac{2}{6}\) of a pizza. Priya ate \(\frac{4}{12}\) of an identical pizza.
- Did Noah and Priya eat the same amount? Explain. (2 points)
- Mei ate \(\frac{1}{3}\) of an identical pizza. Did she eat the same amount as Noah? (1 point)
Question 9 – Write one [1 pt]
Write one fraction that is equivalent to \(\frac{5}{8}\).
Key facts behind this grade 4 equivalent fractions test
- Equivalent fractions name the same amount and sit at the same point on a number line.
- Multiply or divide the numerator and denominator by the same number to make an equivalent fraction.
- Multiplying by 2/2, 3/3 or any n/n is multiplying by 1, so the value stays the same.
- Tenths change to hundredths by multiplying by 10, so 3/10 = 30/100.
- Adding the same number to the top and bottom does not make an equivalent fraction.
How to use this grade 4 equivalent fractions test
Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.
All Grade 4 chapters: Grade 4 math.
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