Comparing and Ordering Fractions Worksheet |Ascending/Descending Order

Comparing and ordering fractions worksheet helps students practice comparing and ordering fractions in a simple and engaging way. Learners will compare fractions using the symbols >,

1. Replace ✸ by symbols >,

(i) \(\frac{2}{3}\) ✸ \(\frac{5}{6}\)

(ii) \(\frac{7}{15}\) ✸ \(\frac{3}{10}\)

(iii) 3\(\frac{2}{5}\) ✸ \(\frac{8}{3}\)

(iv) \(\frac{5}{6}\) ✸ \(\frac{7}{10}\)

(v) \(\frac{25}{30}\) ✸ \(\frac{42}{50}\)

(vi) \(\frac{12}{21}\) ✸ \(\frac{9}{14}\)

2. Which is greater?

(i) \(\frac{4}{9}\) or \(\frac{5}{8}\)

(ii) \(\frac{2}{15}\) or \(\frac{3}{17}\)

(iii) \(\frac{3}{5}\) or \(\frac{2}{7}\)

(iv) \(\frac{5}{12}\) or \(\frac{6}{11}\)

(v) \(\frac{3}{8}\) or \(\frac{5}{9}\)

(vi) \(\frac{4}{7}\) or \(\frac{5}{9}\)

3. Which is smaller?

(i) \(\frac{2}{3}\) or \(\frac{3}{4}\)

(ii) \(\frac{8}{15}\) or \(\frac{13}{17}\)

(iii) \(\frac{7}{11}\) or \(\frac{9}{13}\)

(iv) \(\frac{5}{7}\) or \(\frac{7}{8}\)

(v) \(\frac{3}{8}\) or \(\frac{4}{5}\)

(vi) \(\frac{7}{13}\) or \(\frac{5}{7}\)

4. Arrange the following fractions in ascending order:

(i) \(\frac{1}{4}\), \(\frac{7}{8}\), \(\frac{5}{12}\)

(ii) \(\frac{5}{6}\), \(\frac{1}{5}\), \(\frac{9}{10}\)

(iii) \(\frac{4}{5}\), \(\frac{8}{15}\), \(\frac{3}{10}\)

(iv) \(\frac{9}{16}\), \(\frac{3}{20}\), \(\frac{6}{7}\)

(v) \(\frac{1}{5}\), \(\frac{2}{3}\), \(\frac{7}{10}\), \(\frac{5}{6}\)

(vi) \(\frac{7}{8}\), \(\frac{3}{4}\), \(\frac{15}{16}\), \(\frac{11}{12}\)

5. Arrange the following fractions in descending order:

(i) \(\frac{3}{4}\), \(\frac{5}{6}\), \(\frac{7}{8}\)

(ii) \(\frac{2}{5}\), \(\frac{1}{9}\), \(\frac{3}{8}\)

(iii) \(\frac{2}{3}\), \(\frac{1}{5}\), \(\frac{9}{10}\)

(iv) \(\frac{5}{14}\), \(\frac{13}{28}\), \(\frac{17}{42}\)

(v) \(\frac{7}{15}\), \(\frac{9}{10}\), \(\frac{8}{9}\), \(\frac{13}{18}\)

(vi) \(\frac{3}{11}\), \(\frac{5}{22}\), \(\frac{13}{33}\), \(\frac{21}{44}\)

6. In a restaurant at one table, a pizza was cut into 9 pieces and 4 of these were eaten. At another table, a pizza was cut into 11 pieces and 7 were eaten. Was more pizza eaten at the first table or the second?

7. Michael studied for \(\frac{3}{6}\) of an hour, while Elizabeth studied for \(\frac{3}{4}\) of an hour. Who studied, for a longer time? 

8. In 10th standard, section-A of 40 students, 32 passed in first class; in section-B of 30 students, 25 passed in first class. In which section of 10th standard, was a greater fraction of students getting first class?

Comparing and Ordering Fractions Worksheet

Answer:

1. (i)

(ii) >

(iii) >

(iv) >

(v)

(vi)

2. (i) \(\frac{5}{8}\)

(ii) \(\frac{3}{17}\)

(iii) \(\frac{3}{5}\)

(iv) \(\frac{6}{11}\)

(v) \(\frac{5}{9}\)

(vi) \(\frac{4}{7}\)

3. (i) \(\frac{2}{3}\)

(ii) \(\frac{8}{15}\)

(iii) \(\frac{7}{11}\)

(iv) \(\frac{5}{7}\)

(v) \(\frac{3}{8}\)

(vi) \(\frac{7}{13}\)

4. (i) \(\frac{1}{4}\)

(ii) \(\frac{1}{5}\)

(iii) \(\frac{3}{10}\)

(iv) \(\frac{3}{20}\)

(v) \(\frac{1}{5}\)

(vi) \(\frac{3}{4}\)

5. (i) \(\frac{7}{8}\) > \(\frac{5}{6}\) > \(\frac{3}{4}\)

(ii) \(\frac{2}{5}\) > \(\frac{3}{8}\) > \(\frac{1}{9}\)

(iii) \(\frac{9}{10}\) > \(\frac{2}{3}\) > \(\frac{1}{5}\)

(iv) \(\frac{13}{28}\) > \(\frac{17}{42}\) > \(\frac{5}{14}\)

(v) \(\frac{9}{10}\) > \(\frac{8}{9}\) > \(\frac{13}{18}\) > \(\frac{7}{15}\)

(vi) \(\frac{21}{44}\) > \(\frac{13}{33}\) > \(\frac{3}{11}\) > \(\frac{5}{22}\)

6. On the first table.

7. Elizabeth. 

8. Section-B (\(\frac{5}{6}\))

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