Fractions Worksheets | Printable Fractions Worksheets for Teachers - Free Printable

Here are the step-by-step solutions for each problem on the worksheet.

1) $6 \frac{1}{4} - 4 \frac{1}{2}$
* Find a common denominator for $\frac{1}{4}$ and $\frac{1}{2}$, which is 4.
* Convert $\frac{1}{2}$ to $\frac{2}{4}$. The problem becomes $6 \frac{1}{4} - 4 \frac{2}{4}$.
* Since you cannot subtract 2 from 1, borrow 1 from the whole number 6.
* $6$ becomes $5$, and add $\frac{4}{4}$ to $\frac{1}{4}$ to get $\frac{5}{4}$.
* Now subtract: $5 \frac{5}{4} - 4 \frac{2}{4}$.
* Whole numbers: $5 - 4 = 1$. Fractions: $\frac{5}{4} - \frac{2}{4} = \frac{3}{4}$.
* Answer: $1 \frac{3}{4}$

2) $9 \frac{1}{2} - 1 \frac{1}{4}$
* Common denominator is 4. Convert $\frac{1}{2}$ to $\frac{2}{4}$.
* Problem: $9 \frac{2}{4} - 1 \frac{1}{4}$.
* Subtract fractions: $\frac{2}{4} - \frac{1}{4} = \frac{1}{4}$.
* Subtract whole numbers: $9 - 1 = 8$.
* Answer: $8 \frac{1}{4}$

3) $11 \frac{3}{4} - 7 \frac{1}{4}$
* Denominators are already the same (4).
* Subtract fractions: $\frac{3}{4} - \frac{1}{4} = \frac{2}{4}$. Simplify $\frac{2}{4}$ to $\frac{1}{2}$.
* Subtract whole numbers: $11 - 7 = 4$.
* Answer: $4 \frac{1}{2}$

4) $7 \frac{1}{4} - 5 \frac{5}{16}$
* Common denominator is 16. Convert $\frac{1}{4}$ to $\frac{4}{16}$.
* Problem: $7 \frac{4}{16} - 5 \frac{5}{16}$.
* You cannot subtract 5 from 4, so borrow from 7.
* $7$ becomes $6$, and $\frac{4}{16}$ becomes $\frac{20}{16}$ ($\frac{4}{16} + \frac{16}{16}$).
* Subtract fractions: $\frac{20}{16} - \frac{5}{16} = \frac{15}{16}$.
* Subtract whole numbers: $6 - 5 = 1$.
* Answer: $1 \frac{15}{16}$

5) $7 \frac{1}{2} - 5 \frac{3}{8}$
* Common denominator is 8. Convert $\frac{1}{2}$ to $\frac{4}{8}$.
* Problem: $7 \frac{4}{8} - 5 \frac{3}{8}$.
* Subtract fractions: $\frac{4}{8} - \frac{3}{8} = \frac{1}{8}$.
* Subtract whole numbers: $7 - 5 = 2$.
* Answer: $2 \frac{1}{8}$

6) $7 \frac{9}{16} - 3 \frac{3}{4}$
* Common denominator is 16. Convert $\frac{3}{4}$ to $\frac{12}{16}$.
* Problem: $7 \frac{9}{16} - 3 \frac{12}{16}$.
* Cannot subtract 12 from 9. Borrow from 7.
* $7$ becomes $6$, and $\frac{9}{16}$ becomes $\frac{25}{16}$ ($\frac{9}{16} + \frac{16}{16}$).
* Subtract fractions: $\frac{25}{16} - \frac{12}{16} = \frac{13}{16}$.
* Subtract whole numbers: $6 - 3 = 3$.
* Answer: $3 \frac{13}{16}$

7) $5 \frac{13}{16} - 2 \frac{1}{8}$
* Common denominator is 16. Convert $\frac{1}{8}$ to $\frac{2}{16}$.
* Problem: $5 \frac{13}{16} - 2 \frac{2}{16}$.
* Subtract fractions: $\frac{13}{16} - \frac{2}{16} = \frac{11}{16}$.
* Subtract whole numbers: $5 - 2 = 3$.
* Answer: $3 \frac{11}{16}$

8) $4 \frac{3}{8} - 2 \frac{1}{2}$
* Common denominator is 8. Convert $\frac{1}{2}$ to $\frac{4}{8}$.
* Problem: $4 \frac{3}{8} - 2 \frac{4}{8}$.
* Cannot subtract 4 from 3. Borrow from 4.
* $4$ becomes $3$, and $\frac{3}{8}$ becomes $\frac{11}{8}$ ($\frac{3}{8} + \frac{8}{8}$).
* Subtract fractions: $\frac{11}{8} - \frac{4}{8} = \frac{7}{8}$.
* Subtract whole numbers: $3 - 2 = 1$.
* Answer: $1 \frac{7}{8}$

9) $7 \frac{3}{16} - 5 \frac{5}{8}$
* Common denominator is 16. Convert $\frac{5}{8}$ to $\frac{10}{16}$.
* Problem: $7 \frac{3}{16} - 5 \frac{10}{16}$.
* Cannot subtract 10 from 3. Borrow from 7.
* $7$ becomes $6$, and $\frac{3}{16}$ becomes $\frac{19}{16}$ ($\frac{3}{16} + \frac{16}{16}$).
* Subtract fractions: $\frac{19}{16} - \frac{10}{16} = \frac{9}{16}$.
* Subtract whole numbers: $6 - 5 = 1$.
* Answer: $1 \frac{9}{16}$

10) $11 \frac{1}{2} - 5 \frac{1}{2}$
* Denominators are the same.
* Subtract fractions: $\frac{1}{2} - \frac{1}{2} = 0$.
* Subtract whole numbers: $11 - 5 = 6$.
* Answer: $6$

Final Answer:
1) $1 \frac{3}{4}$
2) $8 \frac{1}{4}$
3) $4 \frac{1}{2}$
4) $1 \frac{15}{16}$
5) $2 \frac{1}{8}$
6) $3 \frac{13}{16}$
7) $3 \frac{11}{16}$
8) $1 \frac{7}{8}$
9) $1 \frac{9}{16}$
10) $6$