Fractions Worksheets | Printable Fractions Worksheets for Teachers - Free Printable

Here are the step-by-step solutions for each problem. To subtract mixed numbers, we first find a common denominator for the fractions, then subtract the whole numbers and the fractions separately.

1) $5 \frac{3}{5} - 2 \frac{1}{10}$
* Common Denominator: The least common multiple for 5 and 10 is 10.
* Convert Fractions: $\frac{3}{5} = \frac{6}{10}$. So, $5 \frac{3}{5}$ becomes $5 \frac{6}{10}$.
* Subtract:
* Whole numbers: $5 - 2 = 3$
* Fractions: $\frac{6}{10} - \frac{1}{10} = \frac{5}{10}$
* Simplify: $\frac{5}{10}$ simplifies to $\frac{1}{2}$.
* Result: $3 \frac{1}{2}$

2) $5 \frac{2}{3} - 4 \frac{2}{4}$
* Common Denominator: The least common multiple for 3 and 4 is 12.
* Convert Fractions:
* $\frac{2}{3} = \frac{8}{12}$
* $\frac{2}{4} = \frac{6}{12}$
* Subtract:
* Whole numbers: $5 - 4 = 1$
* Fractions: $\frac{8}{12} - \frac{6}{12} = \frac{2}{12}$
* Simplify: $\frac{2}{12}$ simplifies to $\frac{1}{6}$.
* Result: $1 \frac{1}{6}$

3) $5 \frac{3}{4} - 4 \frac{2}{5}$
* Common Denominator: The least common multiple for 4 and 5 is 20.
* Convert Fractions:
* $\frac{3}{4} = \frac{15}{20}$
* $\frac{2}{5} = \frac{8}{20}$
* Subtract:
* Whole numbers: $5 - 4 = 1$
* Fractions: $\frac{15}{20} - \frac{8}{20} = \frac{7}{20}$
* Result: $1 \frac{7}{20}$

4) $9 \frac{3}{5} - 1 \frac{2}{4}$
* Common Denominator: The least common multiple for 5 and 4 is 20.
* Convert Fractions:
* $\frac{3}{5} = \frac{12}{20}$
* $\frac{2}{4} = \frac{10}{20}$
* Subtract:
* Whole numbers: $9 - 1 = 8$
* Fractions: $\frac{12}{20} - \frac{10}{20} = \frac{2}{20}$
* Simplify: $\frac{2}{20}$ simplifies to $\frac{1}{10}$.
* Result: $8 \frac{1}{10}$

5) $6 \frac{3}{10} - 1 \frac{1}{4}$
* Common Denominator: The least common multiple for 10 and 4 is 20.
* Convert Fractions:
* $\frac{3}{10} = \frac{6}{20}$
* $\frac{1}{4} = \frac{5}{20}$
* Subtract:
* Whole numbers: $6 - 1 = 5$
* Fractions: $\frac{6}{20} - \frac{5}{20} = \frac{1}{20}$
* Result: $5 \frac{1}{20}$

6) $9 \frac{1}{4} - 3 \frac{1}{5}$
* Common Denominator: The least common multiple for 4 and 5 is 20.
* Convert Fractions:
* $\frac{1}{4} = \frac{5}{20}$
* $\frac{1}{5} = \frac{4}{20}$
* Subtract:
* Whole numbers: $9 - 3 = 6$
* Fractions: $\frac{5}{20} - \frac{4}{20} = \frac{1}{20}$
* Result: $6 \frac{1}{20}$

7) $9 \frac{1}{3} - 4 \frac{1}{5}$
* Common Denominator: The least common multiple for 3 and 5 is 15.
* Convert Fractions:
* $\frac{1}{3} = \frac{5}{15}$
* $\frac{1}{5} = \frac{3}{15}$
* Subtract:
* Whole numbers: $9 - 4 = 5$
* Fractions: $\frac{5}{15} - \frac{3}{15} = \frac{2}{15}$
* Result: $5 \frac{2}{15}$

8) $6 \frac{4}{5} - 1 \frac{1}{4}$
* Common Denominator: The least common multiple for 5 and 4 is 20.
* Convert Fractions:
* $\frac{4}{5} = \frac{16}{20}$
* $\frac{1}{4} = \frac{5}{20}$
* Subtract:
* Whole numbers: $6 - 1 = 5$
* Fractions: $\frac{16}{20} - \frac{5}{20} = \frac{11}{20}$
* Result: $5 \frac{11}{20}$

9) $9 \frac{7}{10} - 1 \frac{2}{3}$
* Common Denominator: The least common multiple for 10 and 3 is 30.
* Convert Fractions:
* $\frac{7}{10} = \frac{21}{30}$
* $\frac{2}{3} = \frac{20}{30}$
* Subtract:
* Whole numbers: $9 - 1 = 8$
* Fractions: $\frac{21}{30} - \frac{20}{30} = \frac{1}{30}$
* Result: $8 \frac{1}{30}$

10) $6 \frac{2}{4} - 3 \frac{4}{10}$
* Common Denominator: The least common multiple for 4 and 10 is 20.
* Convert Fractions:
* $\frac{2}{4} = \frac{10}{20}$
* $\frac{4}{10} = \frac{8}{20}$
* Subtract:
* Whole numbers: $6 - 3 = 3$
* Fractions: $\frac{10}{20} - \frac{8}{20} = \frac{2}{20}$
* Simplify: $\frac{2}{20}$ simplifies to $\frac{1}{10}$.
* Result: $3 \frac{1}{10}$

Final Answer:
1) $3 \frac{1}{2}$
2) $1 \frac{1}{6}$
3) $1 \frac{7}{20}$
4) $8 \frac{1}{10}$
5) $5 \frac{1}{20}$
6) $6 \frac{1}{20}$
7) $5 \frac{2}{15}$
8) $5 \frac{11}{20}$
9) $8 \frac{1}{30}$
10) $3 \frac{1}{10}$