Multiplying and Dividing Mixed Fractions worksheet with 15 problems for practice.

Here are the step-by-step solutions for each problem on the worksheet. To solve these, we first change mixed numbers into improper fractions, then multiply or divide as shown, and finally simplify the answer back into a mixed number if needed.

1. $3\frac{5}{7} \div 1\frac{1}{4}$
* Convert to improper fractions: $\frac{26}{7} \div \frac{5}{4}$
* Multiply by the reciprocal: $\frac{26}{7} \times \frac{4}{5} = \frac{104}{35}$
* Simplify: $104 \div 35 = 2$ with a remainder of $34$.
* Answer: $2\frac{34}{35}$

2. $1\frac{2}{3} \div 3\frac{1}{3}$
* Convert to improper fractions: $\frac{5}{3} \div \frac{10}{3}$
* Multiply by the reciprocal: $\frac{5}{3} \times \frac{3}{10} = \frac{15}{30}$
* Simplify: $\frac{15}{30}$ reduces to $\frac{1}{2}$.
* Answer: $\frac{1}{2}$

3. $2\frac{1}{4} \div 1\frac{1}{2}$
* Convert to improper fractions: $\frac{9}{4} \div \frac{3}{2}$
* Multiply by the reciprocal: $\frac{9}{4} \times \frac{2}{3} = \frac{18}{12}$
* Simplify: $\frac{18}{12}$ reduces to $\frac{3}{2}$, which is $1\frac{1}{2}$.
* Answer: $1\frac{1}{2}$

4. $6\frac{1}{2} \div 2\frac{2}{3}$
* Convert to improper fractions: $\frac{13}{2} \div \frac{8}{3}$
* Multiply by the reciprocal: $\frac{13}{2} \times \frac{3}{8} = \frac{39}{16}$
* Simplify: $39 \div 16 = 2$ with a remainder of $7$.
* Answer: $2\frac{7}{16}$

5. $2\frac{1}{10} \div 2\frac{3}{5}$
* Convert to improper fractions: $\frac{21}{10} \div \frac{13}{5}$
* Multiply by the reciprocal: $\frac{21}{10} \times \frac{5}{13} = \frac{105}{130}$
* Simplify: Divide top and bottom by 5 to get $\frac{21}{26}$.
* Answer: $\frac{21}{26}$

6. $1\frac{1}{3} \times 1\frac{2}{3}$
* Convert to improper fractions: $\frac{4}{3} \times \frac{5}{3}$
* Multiply straight across: $\frac{20}{9}$
* Simplify: $20 \div 9 = 2$ with a remainder of $2$.
* Answer: $2\frac{2}{9}$

7. $1\frac{1}{3} \times 2\frac{1}{5}$
* Convert to improper fractions: $\frac{4}{3} \times \frac{11}{5}$
* Multiply straight across: $\frac{44