FREE Dividing Fractions Worksheets 6Th Grade [PDFs] Brighterly - Free Printable

To divide a whole number by a fraction, you multiply the whole number by the reciprocal of the fraction. The reciprocal is found by flipping the numerator and denominator.

Here are the step-by-step solutions for each problem:

1. $8 \div \frac{1}{8}$
* Multiply 8 by the reciprocal of $\frac{1}{8}$, which is $\frac{8}{1}$ (or just 8).
* $8 \times 8 = 64$

2. $14 \div \frac{3}{10}$
* Multiply 14 by the reciprocal of $\frac{3}{10}$, which is $\frac{10}{3}$.
* $14 \times \frac{10}{3} = \frac{140}{3}$
* Convert to a mixed number: 3 goes into 140 forty-six times with a remainder of 2.
* Answer: $46 \frac{2}{3}$

3. $11 \div \frac{9}{12}$
* First, simplify the fraction $\frac{9}{12}$ to $\frac{3}{4}$ (divide top and bottom by 3).
* Now solve $11 \div \frac{3}{4}$. Multiply 11 by the reciprocal $\frac{4}{3}$.
* $11 \times \frac{4}{3} = \frac{44}{3}$
* Convert to a mixed number: 3 goes into 44 fourteen times with a remainder of 2.
* Answer: $14 \frac{2}{3}$

4. $12 \div \frac{1}{6}$
* Multiply 12 by the reciprocal of $\frac{1}{6}$, which is 6.
* $12 \times 6 = 72$

5. $3 \div \frac{1}{4}$
* Multiply 3 by the reciprocal of $\frac{1}{4}$, which is 4.
* $3 \times 4 = 12$

6. $2 \div \frac{2}{8}$
* Simplify $\frac{2}{8}$ to $\frac{1}{4}$.
* Now solve $2 \div \frac{1}{4}$. Multiply 2 by the reciprocal 4.
* $2 \times 4 = 8$

7. $7 \div \frac{2}{4}$
* Simplify $\frac{2}{4}$ to $\frac{1}{2}$.
* Now solve $7 \div \frac{1}{2}$. Multiply 7 by the reciprocal 2.
* $7 \times 2 = 14$

8. $1 \div \frac{5}{10}$
* Simplify $\frac{5}{10}$ to $\frac{1}{2}$.
* Now solve $1 \div \frac{1}{2}$. Multiply 1 by the reciprocal 2.
* $1 \times 2 = 2$

9. $14 \div \frac{1}{12}$
* Multiply 14 by the reciprocal of $\frac{1}{12}$, which is 12.
* $14 \times 12 = 168$

10. $9 \div \frac{2}{10}$
* Simplify $\frac{2}{10}$ to $\frac{1}{5}$.
* Now solve $9 \div \frac{1}{5}$. Multiply 9 by the reciprocal 5.
* $9 \times 5 = 45$

Final Answer:
1. 64
2. $46 \frac{2}{3}$ (or $\frac{140}{3}$)
3. $14 \frac{2}{3}$ (or $\frac{44}{3}$)
4. 72
5. 12
6. 8
7. 14
8. 2
9. 168
10. 45