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Math Grade 2-3 Answer Key

Comparing Fractions with the Same Denominator

Use numerators to decide which fraction is greater

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Comparing Fractions with the Same Denominator

Use numerators to decide which fraction is greater

Math - Grade 2-3

Instructions: Read each problem carefully. Compare the fractions. Write <, >, or =, and explain your thinking when asked.
  1. 1

    Compare the fractions: 2/5 ___ 4/5. Write <, >, or =.

    When the denominators are the same, compare the numerators.

    2/5 < 4/5 because both fractions have 5 equal parts, and 2 parts is less than 4 parts.
  2. 2

    Compare the fractions: 3/8 ___ 1/8. Write <, >, or =.

    3/8 > 1/8 because both fractions have eighths, and 3 eighths is greater than 1 eighth.
  3. 3

    Circle the greater fraction: 5/6 or 2/6.

    The fraction with the larger numerator is greater when the denominators match.

    5/6 is greater because 5 equal parts is more than 2 equal parts when the denominator is 6.
  4. 4

    Compare the fractions: 4/7 ___ 4/7. Write <, >, or =.

    4/7 = 4/7 because the fractions have the same denominator and the same numerator.
  5. 5

    Maria ate 3/4 of a granola bar. Jon ate 1/4 of the same size granola bar. Who ate more?

    Both granola bars are split into fourths, so compare 3 and 1.

    Maria ate more because 3/4 is greater than 1/4.
  6. 6

    Compare the fractions: 6/10 ___ 9/10. Write <, >, or =.

    6/10 < 9/10 because 6 tenths is less than 9 tenths.
  7. 7

    Circle the smaller fraction: 2/3 or 1/3.

    Look for the smaller numerator.

    1/3 is smaller because 1 part is less than 2 parts when both fractions are thirds.
  8. 8

    Compare the fractions: 7/9 ___ 5/9. Write <, >, or =.

    7/9 > 5/9 because 7 ninths is greater than 5 ninths.
  9. 9

    Lena colored 4/8 of a picture. Sam colored 6/8 of the same size picture. Who colored more?

    The pictures are divided into the same number of equal parts.

    Sam colored more because 6/8 is greater than 4/8.
  10. 10

    Compare the fractions: 1/12 ___ 8/12. Write <, >, or =.

    1/12 < 8/12 because 1 twelfth is less than 8 twelfths.
  11. 11

    Write a fraction greater than 3/7 that has the same denominator.

    Keep the denominator 7 and choose a numerator greater than 3.

    One correct answer is 4/7 because 4 is greater than 3 and the denominator is still 7.
  12. 12

    Write a fraction less than 5/6 that has the same denominator.

    One correct answer is 4/6 because 4 is less than 5 and the denominator is still 6.
  13. 13

    Compare the fractions shown: a shape with 3/5 shaded and a same-size shape with 1/5 shaded. Write <, >, or =.

    Count the shaded parts in each shape.

    3/5 > 1/5 because 3 shaded parts is greater than 1 shaded part when both shapes are divided into fifths.
  14. 14

    A class planted flowers in 2/6 of a garden bed on Monday and 5/6 of the same size garden bed on Tuesday. On which day did they plant more?

    Both fractions are sixths, so compare the numerators 2 and 5.

    They planted more on Tuesday because 5/6 is greater than 2/6.
  15. 15

    Order these fractions from least to greatest: 4/9, 2/9, 7/9.

    The fractions in order from least to greatest are 2/9, 4/9, and 7/9 because 2 < 4 < 7.
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