Fractions Worksheets | Printable Fractions Worksheets for Teachers - Free Printable

To solve these problems, we need to multiply mixed numbers. Here is the step-by-step method for each one:

1. Convert the mixed number into an improper fraction.
* Multiply the whole number by the denominator.
* Add the numerator.
* Put that result over the original denominator.
2. Multiply the two improper fractions straight across (numerator × numerator and denominator × denominator).
3. Simplify the resulting fraction if possible.
4. Convert back to a mixed number if the numerator is larger than the denominator.

Here are the solutions for each problem:

1) $4 \frac{9}{10} \times 4 \frac{1}{2}$
* Convert: $4 \frac{9}{10} = \frac{49}{10}$ and $4 \frac{1}{2} = \frac{9}{2}$
* Multiply: $\frac{49}{10} \times \frac{9}{2} = \frac{441}{20}$
* Convert back: $441 \div 20 = 22$ with a remainder of $1$.
* Answer: $22 \frac{1}{20}$

2) $2 \frac{1}{2} \times 3 \frac{3}{5}$
* Convert: $2 \frac{1}{2} = \frac{5}{2}$ and $3 \frac{3}{5} = \frac{18}{5}$
* Multiply: $\frac{5}{2} \times \frac{18}{5}$
* Simplify before multiplying: The 5s cancel out. $\frac{1}{2} \times \frac{18}{1} = \frac{18}{2}$
* Divide: $18 \div 2 = 9$
* Answer: $9$

3) $2 \frac{1}{2} \times 4 \frac{1}{3}$
* Convert: $2 \frac{1}{2} = \frac{5}{2}$ and $4 \frac{1}{3} = \frac{13}{3}$
* Multiply: $\frac{5}{2} \times \frac{13}{3} = \frac{65}{6}$
* Convert back: $65 \div 6 = 10$ with a remainder of $5$.
* Answer: $10 \frac{5}{6}$

4) $3 \frac{1}{2} \times 3 \frac{2}{3}$
* Convert: $3 \frac{1}{2} = \frac{7}{2}$ and $3 \frac{2}{3} = \frac{11}{3}$
* Multiply: $\frac{7}{2} \times \frac{11}{3} = \frac{77}{6}$
* Convert back: $77 \div 6 = 12$ with a remainder of $5$.
* Answer: $12 \frac{5}{6}$

5) $3 \frac{1}{2} \times 2 \frac{2}{3}$
* Convert: $3 \frac{1}{2} = \frac{7}{2}$ and $2 \frac{2}{3} = \frac{8}{3}$
* Multiply: $\frac{7}{2} \times \frac{8}{3}$
* Simplify: 2 goes into 8 four times. So, $7 \times \frac{4}{3} = \frac{28}{3}$
* Convert back: $28 \div 3 = 9$ with a remainder of $1$.
* Answer: $9 \frac{1}{3}$

6) $2 \frac{7}{10} \times 4 \frac{3}{4}$
* Convert: $2 \frac{7}{10} = \frac{27}{10}$ and $4 \frac{3}{4} = \frac{19}{4}$
* Multiply: $\frac{27}{10} \times \frac{19}{4} = \frac{513}{40}$
* Convert back: $513 \div 40 = 12$ with a remainder of $33$ ($40 \times 12 = 480$, $513 - 480 = 33$).
* Answer: $12 \frac{33}{40}$

7) $2 \frac{1}{2} \times 4 \frac{4}{5}$
* Convert: $2 \frac{1}{2} = \frac{5}{2}$ and $4 \frac{4}{5} = \frac{24}{5}$
* Multiply: $\frac{5}{2} \times \frac{24}{5}$
* Simplify: The 5s cancel out. $\frac{1}{2} \times \frac{24}{1} = \frac{24}{2}$
* Divide: $24 \div 2 = 12$
* Answer: $12$

8) $4 \frac{4}{5} \times 4 \frac{1}{3}$
* Convert: $4 \frac{4}{5} = \frac{24}{5}$ and $4 \frac{1}{3} = \frac{13}{3}$
* Multiply: $\frac{24}{5} \times \frac{13}{3}$
* Simplify: 3 goes into 24 eight times. So, $\frac{8}{5} \times \frac{13}{1} = \frac{104}{5}$
* Convert back: $104 \div 5 = 20$ with a remainder of $4$.
* Answer: $20 \frac{4}{5}$

9) $4 \frac{1}{2} \times 3 \frac{1}{5}$
* Convert: $4 \frac{1}{2} = \frac{9}{2}$ and $3 \frac{1}{5} = \frac{16}{5}$
* Multiply: $\frac{9}{2} \times \frac{16}{5}$
* Simplify: 2 goes into 16 eight times. So, $9 \times \frac{8}{5} = \frac{72}{5}$
* Convert back: $72 \div 5 = 14$ with a remainder of $2$.
* Answer: $14 \frac{2}{5}$

10) $2 \frac{1}{2} \times 2 \frac{1}{4}$
* Convert: $2 \frac{1}{2} = \frac{5}{2}$ and $2 \frac{1}{4} = \frac{9}{4}$
* Multiply: $\frac{5}{2} \times \frac{9}{4} = \frac{45}{8}$
* Convert back: $45 \div 8 = 5$ with a remainder of $5$ ($8 \times 5 = 40$).
* Answer: $5 \frac{5}{8}$

Final Answer:
1) $22 \frac{1}{20}$
2) $9$
3) $10 \frac{5}{6}$
4) $12 \frac{5}{6}$
5) $9 \frac{1}{3}$
6) $12 \frac{33}{40}$
7) $12$
8) $20 \frac{4}{5}$
9) $14 \frac{2}{5}$
10) $5 \frac{5}{8}$