Worksheet on Comparison of Like Fractions

In worksheet on comparison of like fractions, all grade students can practice the questions on comparison of like fractions. This exercise sheet on comparison of like fractions can be practiced by the students to get more ideas to compare the like fractions.

Fractions with Like Denominators:

The fraction with greater numerator is greater.

Examples:

               \(\frac{4}{7}\) > \(\frac{2}{7}\);

             \(\frac{9}{13}\) > \(\frac{8}{13}\);

           \(\frac{18}{29}\) > \(\frac{17}{29}\) etc.

Similarly, \(\frac{3}{7}\) < \(\frac{6}{7}\);

            \(\frac{4}{11}\) < \(\frac{6}{11}\);

            \(\frac{8}{21}\) < \(\frac{16}{21}\) etc.

1. There are some groups of like fractions. Write three more like fractions in front of each group.

(i) \(\frac{2}{9}\), \(\frac{5}{9}\), \(\frac{7}{9}\), ………., ………., ………., . 

(ii) \(\frac{1}{7}\), \(\frac{3}{7}\), \(\frac{4}{7}\), ………., ………., ………., . 

(iii) \(\frac{3}{8}\), \(\frac{5}{8}\), \(\frac{7}{8}\), ………., ………., ………., . 

(iv) \(\frac{2}{11}\), \(\frac{4}{11}\), \(\frac{6}{11}\), ………., ………., ………., . 

2. Which of the following is a group of like fractions?

(i) \(\frac{2}{11}\), \(\frac{3}{11}\), \(\frac{5}{11}\)

(ii) \(\frac{2}{9}\), \(\frac{5}{9}\), \(\frac{7}{8}\)

(iii) \(\frac{4}{11}\), \(\frac{4}{13}\), \(\frac{4}{15}\)

(iv) \(\frac{4}{5}\), \(\frac{7}{15}\), \(\frac{11}{20}\)



3. Write three like fractions with denominator:

(i) 8

(ii) 12

(iii) 14



4. Which is the greater fraction?

(i) \(\frac{7}{17}\), \(\frac{11}{17}\)

(ii) \(\frac{5}{6}\), \(\frac{7}{6}\)

(iii) \(\frac{11}{12}\), \(\frac{7}{12}\)

(iv) \(\frac{4}{25}\), \(\frac{14}{25}\)

(v) \(\frac{7}{18}\), \(\frac{7}{9}\)

(vi) \(\frac{9}{16}\), \(\frac{9}{17}\)



5. Which is the smaller fraction?

(i) \(\frac{2}{7}\), \(\frac{5}{7}\)

(ii) \(\frac{5}{11}\), \(\frac{7}{11}\)

(iii) \(\frac{11}{12}\), \(\frac{7}{12}\)

(iv) \(\frac{4}{11}\), \(\frac{4}{17}\)

(v) \(\frac{7}{10}\), \(\frac{7}{15}\)

(vi) \(\frac{8}{15}\), \(\frac{8}{9}\)

6. Fill in the blanks with the symbol < or >:

(i) \(\frac{7}{8}\) ………. \(\frac{7}{5}\)

(ii) \(\frac{4}{7}\) ………. \(\frac{5}{7}\)

(iii) \(\frac{7}{18}\) ………. \(\frac{11}{18}\)

(iv) \(\frac{11}{16}\) ………. \(\frac{11}{15}\)

(v) \(\frac{3}{8}\) ………. \(\frac{3}{11}\)

(vi) \(\frac{9}{14}\) ………. \(\frac{11}{14}\)



7. How many like fractions can you find in the following collection of fractions?

(i) \(\frac{3}{23}\), \(\frac{1}{2}\), \(\frac{5}{7}\), \(\frac{6}{17}\), \(\frac{5}{15}\), \(\frac{1}{7}\), \(\frac{18}{13}\), \(\frac{18}{7}\), \(\frac{7}{11}\)

(ii) \(\frac{7}{7}\), \(\frac{17}{7}\), \(\frac{23}{17}\), \(\frac{6}{9}\), \(\frac{23}{7}\), \(\frac{6}{12}\), \(\frac{7}{10}\), \(\frac{7}{20}\), \(\frac{77}{7}\)



8. Arrange the fractions in ascending order: 

(i) \(\frac{1}{8}\), \(\frac{5}{8}\), \(\frac{3}{8}\), \(\frac{7}{8}\)

(ii) \(\frac{2}{9}\), \(\frac{4}{9}\), \(\frac{7}{9}\), \(\frac{5}{9}\)

(iii) \(\frac{7}{11}\), \(\frac{5}{11}\), \(\frac{2}{11}\), \(\frac{9}{11}\)

(iv) \(\frac{5}{6}\), \(\frac{5}{9}\), \(\frac{5}{8}\), \(\frac{5}{11}\)

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

(vi) \(\frac{3}{4}\), \(\frac{3}{13}\), \(\frac{3}{7}\), \(\frac{3}{5}\)



9. Arrange the fractions in descending order: 

(i) \(\frac{7}{11}\), \(\frac{2}{11}\), \(\frac{5}{11}\), \(\frac{3}{11}\)

(ii) \(\frac{16}{17}\), \(\frac{11}{17}\), \(\frac{15}{17}\), \(\frac{13}{17}\)

(iii) \(\frac{5}{12}\), \(\frac{5}{8}\), \(\frac{5}{6}\), \(\frac{5}{14}\)

(iv) \(\frac{7}{11}\), \(\frac{7}{10}\), \(\frac{7}{15}\), \(\frac{7}{8}\)

If students have any queries regarding the Worksheet on expanded form of a number questions please fill the comment box below so that we can help you. 

However, suggestions for further improvement, from all quarters would be greatly appreciated. 

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