Grade 7 Math: Fractions and Mixed Numbers
Multiple Choice Questions with Answers

This page offers Grade 7 math multiple choice questions on fractions and mixed numbers, designed to test both skills and conceptual understanding. The questions range from basic to challenging, making them ideal for practice and review. Each problem comes with answer keys and detailed fraction solutions and explanations to help students, parents, and teachers master the topic.

Questions

1. Find a fraction $F$ with denominator less than $8$ such that: $${\displaystyle \frac{2}{8}}+F=1$$
   1. ${\displaystyle \frac{3}{4}}$
   2. ${\displaystyle \frac{2}{8}}$
   3. ${\displaystyle \frac{1}{8}}$
   4. ${\displaystyle \frac{8}{8}}$
2. Find two fractions $F_1$ and $F_2$ with denominator $6$ such that: $$F_1+F_2=1\text{and}{F}_1-F_2={\displaystyle \frac{2}{3}}$$
   1. $F_1={\displaystyle \frac{1}{6}},F_2={\displaystyle \frac{1}{6}}$
   2. $F_1={\displaystyle \frac{6}{6}},F_2={\displaystyle \frac{2}{6}}$
   3. $F_1={\displaystyle \frac{5}{6}},F_2={\displaystyle \frac{5}{6}}$
   4. $F_1={\displaystyle \frac{5}{6}},F_2={\displaystyle \frac{1}{6}}$
3. Which fraction is equivalent to $16\mathrm{\%}$?
   1. ${\displaystyle \frac{16}{25}}$
   2. ${\displaystyle \frac{4}{25}}$
   3. ${\displaystyle \frac{16}{25}}$
   4. ${\displaystyle \frac{16}{16}}$
4. Which fraction is equivalent to ${\displaystyle \frac{300}{1000}}$?
   1. ${\displaystyle \frac{3}{100}}$
   2. ${\displaystyle \frac{3}{1000}}$
   3. ${\displaystyle \frac{3}{10}}$
   4. ${\displaystyle \frac{300}{10}}$
5. $${\displaystyle \frac{1}{2}}+{\displaystyle \frac{1}{5}}+{\displaystyle \frac{1}{6}}=?$$
   1. ${\displaystyle \frac{3}{2}}$
   2. ${\displaystyle \frac{13}{15}}$
   3. ${\displaystyle \frac{15}{13}}$
   4. ${\displaystyle \frac{13}{13}}$
6. $$3{\displaystyle \frac{3}{5}}+5{\displaystyle \frac{1}{2}}=?$$
   1. $9{\displaystyle \frac{1}{10}}$
   2. $9$
   3. $10{\displaystyle \frac{1}{10}}$
   4. $8{\displaystyle \frac{4}{7}}$
7. $${\displaystyle \frac{1}{7}}\times 2{\displaystyle \frac{2}{5}}=?$$
   1. ${\displaystyle \frac{4}{35}}$
   2. ${\displaystyle \frac{2}{35}}$
   3. ${\displaystyle \frac{12}{35}}$
   4. ${\displaystyle \frac{1}{35}}$
8. $${\displaystyle \frac{1}{12}}\times 0.2=?$$
   1. ${\displaystyle \frac{1}{6}}$
   2. ${\displaystyle \frac{1}{120}}$
   3. ${\displaystyle \frac{1}{600}}$
   4. ${\displaystyle \frac{1}{60}}$
9. $${\displaystyle \frac{2}{5}}÷6=?$$
   1. ${\displaystyle \frac{12}{5}}$
   2. ${\displaystyle \frac{1}{15}}$
   3. ${\displaystyle \frac{5}{12}}$
   4. ${\displaystyle \frac{12}{30}}$
10. $${\displaystyle \frac{9}{7}}+2=?$$
    1. $3{\displaystyle \frac{2}{7}}$
    2. ${\displaystyle \frac{11}{7}}$
    3. ${\displaystyle \frac{9}{9}}$
    4. $3{\displaystyle \frac{9}{7}}$
11. $$2{\displaystyle \frac{1}{3}}+{\displaystyle \frac{4}{2}}=?$$
    1. $3$
    2. ${\displaystyle \frac{7}{5}}$
    3. $4{\displaystyle \frac{1}{3}}$
    4. $2{\displaystyle \frac{5}{5}}$
12. $$3{\displaystyle \frac{1}{5}}÷5=?$$
    1. $3{\displaystyle \frac{1}{25}}$
    2. $4$
    3. ${\displaystyle \frac{16}{25}}$
    4. $15{\displaystyle \frac{1}{5}}$
13. $${\displaystyle \frac{1}{2}}+4{\displaystyle \frac{1}{3}}-3{\displaystyle \frac{2}{5}}=?$$
    1. $1{\displaystyle \frac{13}{30}}$
    2. $1$
    3. $2{\displaystyle \frac{13}{30}}$
    4. $2$
14. $${\displaystyle \frac{5}{2}}÷{\displaystyle \frac{7}{2}}-{\displaystyle \frac{1}{5}}=?$$
    1. ${\displaystyle \frac{18}{35}}$
    2. $2{\displaystyle \frac{11}{20}}$
    3. ${\displaystyle \frac{35}{18}}$
    4. $8{\displaystyle \frac{11}{20}}$
15. $$(0.2+{\displaystyle \frac{1}{5}})\times {\displaystyle \frac{2}{7}}=?$$
    1. ${\displaystyle \frac{2}{35}}$
    2. ${\displaystyle \frac{3}{35}}$
    3. ${\displaystyle \frac{5}{35}}$
    4. ${\displaystyle \frac{4}{35}}$
16. $$(3{\displaystyle \frac{1}{2}}+{\displaystyle \frac{3}{5}})\times {\displaystyle \frac{1}{7}}=?$$
    1. $3{\displaystyle \frac{1}{4}}$
    2. ${\displaystyle \frac{41}{70}}$
    3. $34$
    4. ${\displaystyle \frac{1}{12}}$
17. $${\displaystyle \frac{40}{4000}}=?$$
    1. $1\mathrm{\%}$
    2. $40\mathrm{\%}$
    3. $4\mathrm{\%}$
    4. $10\mathrm{\%}$
18. $$({\displaystyle \frac{1}{2}}+{\displaystyle \frac{2}{3}})÷0.2=?$$
    1. ${\displaystyle \frac{7}{30}}$
    2. $3$
    3. $5{\displaystyle \frac{5}{6}}$
    4. $6{\displaystyle \frac{5}{6}}$
19. Order from least to greatest: $$3{\displaystyle \frac{4}{7}},3{\displaystyle \frac{3}{5}},3{\displaystyle \frac{1}{2}},3{\displaystyle \frac{11}{20}}$$
    1. $3{\displaystyle \frac{1}{2}},3{\displaystyle \frac{11}{20}},3{\displaystyle \frac{4}{7}},3{\displaystyle \frac{3}{5}}$
    2. $3{\displaystyle \frac{1}{2}},3{\displaystyle \frac{3}{5}},3{\displaystyle \frac{11}{20}},3{\displaystyle \frac{4}{7}}$
    3. $3{\displaystyle \frac{1}{2}},3{\displaystyle \frac{3}{5}},3{\displaystyle \frac{4}{7}},3{\displaystyle \frac{11}{20}}$
    4. $3{\displaystyle \frac{3}{5}},3{\displaystyle \frac{1}{2}},3{\displaystyle \frac{11}{20}},3{\displaystyle \frac{4}{7}}$
20. Order from least to greatest: $$2{\displaystyle \frac{7}{8}},2.66,262\mathrm{\%},{\displaystyle \frac{25}{8}}$$
    1. $2.66,2{\displaystyle \frac{7}{8}},{\displaystyle \frac{25}{8}},262\mathrm{\%}$
    2. ${\displaystyle \frac{25}{8}},2{\displaystyle \frac{7}{8}},2.66,262\mathrm{\%}$
    3. ${\displaystyle \frac{25}{8}},2.66,2{\displaystyle \frac{7}{8}},262\mathrm{\%}$
    4. $262\mathrm{\%},2.66,2{\displaystyle \frac{7}{8}},{\displaystyle \frac{25}{8}}$

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