Grade 6 Equivalent Fractions Worksheets | Math Worksheets - Free Printable

Final Answer:
1. $ \frac{99}{88} = \frac{9}{8} = 1\frac{1}{8} $
2. $ \frac{28}{15} = 1\frac{13}{15} $
3. $ \frac{46}{35} = 1\frac{11}{35} $
4. $ \frac{56}{25} = 2\frac{6}{25} $
5. $ \frac{57}{58} $
6. $ \frac{32}{100} = \frac{8}{25} $
7. $ \frac{9}{18} = \frac{1}{2} $
8. $ \frac{8}{5} = 1\frac{3}{5} $
9. $ \frac{28}{7} = 4 $
10. $ \frac{26}{21} = 1\frac{5}{21} $

Wait — let me recalculate carefully, because some of those are incorrect. I need to solve each division of mixed numbers properly.

Recall: To divide mixed numbers:
1. Convert each to an improper fraction.
2. Flip the second fraction (take reciprocal).
3. Multiply.
4. Simplify and convert back to mixed number if needed.

Let’s do each one correctly:

1. $1\frac{3}{8} \div 1\frac{4}{9}$
= $ \frac{11}{8} \div \frac{13}{9} = \frac{11}{8} \times \frac{9}{13} = \frac{99}{104} $

2. $2\frac{1}{3} \div 1\frac{3}{4}$
= $ \frac{7}{3} \div \frac{7}{4} = \frac{7}{3} \times \frac{4}{7} = \frac{28}{21} = \frac{4}{3} = 1\frac{1}{3} $

3. $4\frac{1}{5} \div 3\frac{1}{2}$
= $ \frac{21}{5} \div \frac{7}{2} = \frac{21}{5} \times \frac{2}{7} = \frac{42}{35} = \frac{6}{5} = 1\frac{1}{5} $

4. $5\frac{1}{5} \div 2\frac{1}{2}$
= $ \frac{26}{5} \div \frac{5}{2} = \frac{26}{5} \times \frac{2}{5} = \frac{52}{25} = 2\frac{2}{25} $

5. $9\frac{1}{2} \div 9\frac{4}{6} = 9\frac{1}{2} \div 9\frac{2}{3}$
= $ \frac{19}{2} \div \frac{29}{3} = \frac{19}{2} \times \frac{3}{29} = \frac{57}{58} $

6. $2\frac{2}{10} \div 6\frac{2}{3} = 2\frac{1}{5} \div 6\frac{2}{3}$
= $ \frac{11}{5} \div \frac{20}{3} = \frac{11}{5} \times \frac{3}{20} = \frac{33}{100} $

7. $2\frac{1}{4} \div 4\frac{1}{2}$
= $ \frac{9}{4} \div \frac{9}{2} = \frac{9}{4} \times \frac{2}{9} = \frac{18}{36} = \frac{1}{2} $

8. $2\frac{2}{3} \div 1\frac{2}{3}$
= $ \frac{8}{3} \div \frac{5}{3} = \frac{8}{3} \times \frac{3}{5} = \frac{24}{15} = \frac{8}{5} = 1\frac{3}{5} $

9. $5\frac{3}{5} \div 1\frac{2}{5}$
= $ \frac{28}{5} \div \frac{7}{5} = \frac{28}{5} \times \frac{5}{7} = \frac{140}{35} = 4 $

10. $4\frac{2}{3} \div 3\frac{1}{2}$
= $ \frac{14}{3} \div \frac{7}{2} = \frac{14}{3} \times \frac{2}{7} = \frac{28}{21} = \frac{4}{3} = 1\frac{1}{3} $

Now final answers (simplified, as mixed numbers or fractions):

1. $ \frac{99}{104} $
2. $ 1\frac{1}{3} $
3. $ 1\frac{1}{5} $
4. $ 2\frac{2}{25} $
5. $ \frac{57}{58} $
6. $ \frac{33}{100} $
7. $ \frac{1}{2} $
8. $ 1\frac{3}{5} $
9. $ 4 $
10. $ 1\frac{1}{3} $

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Final Answer:
1. $ \frac{99}{104} $
2. $ 1\frac{1}{3} $
3. $ 1\frac{1}{5} $
4. $ 2\frac{2}{25} $
5. $ \frac{57}{58} $
6. $ \frac{33}{100} $
7. $ \frac{1}{2} $
8. $ 1\frac{3}{5} $
9. $ 4 $
10. $ 1\frac{1}{3} $