Compare Fractions With Like Parts - 3rd Grade Math

1. What symbol makes this true: $\frac{9}{12}$ __ $\frac{7}{12}$?

   $>$. With same denominators, compare numerators: 9 > 7.

2. What symbol makes this true: $\frac{10}{13}$ __ $\frac{10}{15}$?

   $>$. With same numerators, smaller denominators give larger fractions.

3. Which fraction is larger: $\frac{5}{9}$ or $\frac{6}{9}$?

   $\frac{6}{9}$. With same denominators, 6 > 5.

4. What does the symbol $=$ mean when comparing two fractions?

   $=$ means the two fractions are equal in value. Both fractions represent the same amount.

5. Which comparison is correct: $\frac{3}{10}$ __ $\frac{3}{2}$?

   $\frac{3}{10} < \frac{3}{2}$. Same numerator: $10 > 2$, so $\frac{3}{10} < \frac{3}{2}$.

6. Which statement must be true before comparing $\frac{1}{2}$ of one pizza and $\frac{1}{2}$ of another pizza?

   The fractions must refer to the same whole (same-size pizza). Can't compare parts of different-sized wholes fairly.

7. What symbol makes this true: $\frac{3}{4}$ __ $\frac{3}{9}$?

   $>$. With same numerators, smaller denominators give larger fractions.

8. Which symbol makes this true: $\frac{5}{6}$ __ $\frac{5}{6}$?

   $=$ . Same fractions are always equal.

9. Which fraction is smaller: $\frac{4}{6}$ or $\frac{4}{9}$?

   $\frac{4}{9}$. With same numerators, ninths are smaller than sixths.

10. Find and correct the comparison: $\frac{2}{9} > \frac{5}{9}$.

    Correct: $\frac{2}{9} < \frac{5}{9}$. Same denominator: $2 < 5$, so use $<$ not $>$.

11. Which comparison is correct: $\frac{5}{12}$ __ $\frac{5}{8}$?

    $\frac{5}{12} < \frac{5}{8}$. Same numerator: $12 > 8$, so $\frac{5}{12} < \frac{5}{8}$.

12. What is the comparison rule when two fractions have the same numerator?

    The fraction with the smaller denominator is greater. Same-sized parts divided into fewer pieces are larger.

13. What does the symbol $<$ mean when comparing two fractions?

    $<$ means the left fraction is less than the right fraction. It shows which fraction has the smaller value.

14. Which comparison is correct: $\frac{8}{9}$ __ $\frac{8}{10}$?

    $\frac{8}{9} > \frac{8}{10}$. Same numerator: $9 < 10$, so $\frac{8}{9} > \frac{8}{10}$.

15. Find and correct the comparison: $\frac{6}{7} < \frac{6}{9}$.

    Correct: $\frac{6}{7} > \frac{6}{9}$. Same numerator: smaller denominator means larger fraction.

16. Which comparison is correct: $\frac{4}{9}$ __ $\frac{7}{9}$?

    $\frac{4}{9} < \frac{7}{9}$. Same denominator: $4 < 7$, so $\frac{4}{9} < \frac{7}{9}$.

17. What does the symbol $>$ mean when comparing two fractions?

    $>$ means the left fraction is greater than the right fraction. It shows which fraction has the larger value.

18. Identify the required condition to compare fractions fairly using $>$, $<$, or $=$.

    Both fractions must refer to the same whole. Ensures fractions represent parts of equal-sized wholes.

19. What rule compares fractions with the same denominator, such as $\frac{3}{8}$ and $\frac{5}{8}$?

    With same denominator, the larger numerator makes the larger fraction. More parts out of the same total means a bigger fraction.

20. What symbol makes this true: $\frac{3}{8}$ __ $\frac{5}{8}$?

    $<$. With same denominators, compare numerators: $3 < 5$.

21. Which comparison is correct: $\frac{9}{13}$ __ $\frac{4}{13}$?

    $\frac{9}{13} > \frac{4}{13}$. Same denominator: $9 > 4$, so $\frac{9}{13} > \frac{4}{13}$.

22. What symbol makes this true: $\frac{5}{6}$ __ $\frac{5}{12}$?

    $>$. With same numerators, smaller denominators give larger fractions.

23. What rule compares fractions with the same numerator, such as $\frac{3}{5}$ and $\frac{3}{7}$?

    With same numerator, the smaller denominator makes the larger fraction. Fewer pieces to split the same amount means bigger pieces.

24. What symbol makes this true: $\frac{7}{10}$ __ $\frac{2}{10}$?

    $>$. With same denominators, compare numerators: 7 > 2.

25. Which comparison is correct: $\frac{7}{8}$ __ $\frac{7}{12}$?

    $\frac{7}{8} > \frac{7}{12}$. Same numerator: $8 < 12$, so $\frac{7}{8} > \frac{7}{12}$.

26. Which fraction is larger: $\frac{3}{8}$ or $\frac{3}{10}$?

    $\frac{3}{8}$. With same numerators, eighths are larger than tenths.

27. What symbol makes this true: $\frac{6}{11}$ __ $\frac{8}{11}$?

    $<$. With same denominators, compare numerators: 6 < 8.

28. Which comparison is correct: $\frac{2}{7}$ __ $\frac{5}{7}$?

    $\frac{2}{7} < \frac{5}{7}$. Same denominator: $2 < 5$, so $\frac{2}{7} < \frac{5}{7}$.

29. What symbol makes this true: $\frac{1}{3}$ __ $\frac{1}{5}$?

    $>$. With same numerators, smaller denominators give larger fractions.

30. What symbol makes this true: $\frac{8}{9}$ __ $\frac{8}{12}$?

    $>$. With same numerators, smaller denominators give larger fractions.

31. What symbol makes this true: $\frac{4}{9}$ __ $\frac{4}{7}$?

    $<$. With same numerators, smaller denominators give larger fractions.

32. What is the comparison rule when two fractions have the same denominator?

    The fraction with the greater numerator is greater. More parts of the same-sized whole means a larger fraction.

33. Which statement is correct if the wholes are different sizes: $\frac{1}{2}$ of a large pizza vs $\frac{1}{2}$ of a small pizza?

    The comparison is not valid because the wholes are different. Different-sized wholes make fraction comparison invalid.

34. What symbol makes this true: $\frac{2}{9}$ __ $\frac{2}{3}$?

    $<$. With same numerators, ninths are smaller than thirds.

35. Which comparison is correct: $\frac{6}{11}$ __ $\frac{2}{11}$?

    $\frac{6}{11} > \frac{2}{11}$. Same denominator: $6 > 2$, so $\frac{6}{11} > \frac{2}{11}$.

36. What symbol makes this true: $\frac{2}{5}$ __ $\frac{2}{8}$?

    $>$. With same numerators, smaller denominators give larger fractions.

37. Which comparison is correct: $\frac{4}{5}$ __ $\frac{4}{6}$?

    $\frac{4}{5} > \frac{4}{6}$. Same numerator: $5 < 6$, so $\frac{4}{5} > \frac{4}{6}$.

38. Which comparison is correct: $\frac{3}{4}$ __ $\frac{3}{10}$?

    $\frac{3}{4} > \frac{3}{10}$. Same numerator: $4 < 10$, so $\frac{3}{4} > \frac{3}{10}$.

39. Which comparison is correct: $\frac{1}{6}$ __ $\frac{1}{3}$?

    $\frac{1}{6} < \frac{1}{3}$. Same numerator: $6 > 3$, so $\frac{1}{6} < \frac{1}{3}$.

40. What symbol makes this true: $\frac{7}{7}$ __ $\frac{7}{7}$?

    $=$. These fractions are identical.

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