Math worksheet for multiplying mixed fractions by whole numbers, featuring 18 practice problems and a colorful mascot.

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

How to solve these:
1. Mixed Numbers (like $1 \frac{2}{3}$): Change them into improper fractions first. Multiply the whole number by the bottom number (denominator), then add the top number (numerator). Keep the same bottom number.
* *Example:* $1 \frac{2}{3} \rightarrow (1 \times 3) + 2 = 5$. So, it becomes $\frac{5}{3}$.
2. Whole Numbers (like 12): Imagine there is a "1" on the bottom. So, 12 becomes $\frac{12}{1}$.
3. Multiply: Multiply the top numbers together and the bottom numbers together.
4. Simplify: If the answer is an improper fraction (top is bigger than bottom), turn it back into a mixed number. If possible, simplify the fraction part.

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Left Column

1) $12 \times 1 \frac{2}{3}$
* Convert $1 \frac{2}{3}$ to $\frac{5}{3}$.
* Equation: $\frac{12}{1} \times \frac{5}{3}$
* Multiply tops: $12 \times 5 = 60$
* Multiply bottoms: $1 \times 3 = 3$
* Result: $\frac{60}{3}$
* Simplify: $60 \div 3 = 20$
* Answer: 20

2) $11 \times 1 \frac{1}{4}$
* Convert $1 \frac{1}{4}$ to $\frac{5}{4}$.
* Equation: $\frac{11}{1} \times \frac{5}{4}$
* Multiply tops: $11 \times 5 = 55$
* Multiply bottoms: $1 \times 4 = 4$
* Result: $\frac{55}{4}$
* Convert to mixed number: 4 goes into 55 thirteen times ($13 \times 4 = 52$) with 3 left over.
* Answer: $13 \frac{3}{4}$

3) $10 \times 2 \frac{1}{3}$
* Convert $2 \frac{1}{3}$ to $\frac{7}{3}$.
* Equation: $\frac{10}{1} \times \frac{7}{3}$
* Multiply tops: $10 \times 7 = 70$
* Multiply bottoms: $1 \times 3 = 3$
* Result: $\frac{70}{3}$
* Convert to mixed number: 3 goes into 70 twenty-three times ($23 \times 3 = 69$) with 1 left over.
* Answer: $23 \frac{1}{3}$

4) $10 \times 4 \frac{3}{5}$
* Convert $4 \frac{3}{5}$ to $\frac{23}{5}$.
* Equation: $\frac{10}{1} \times \frac{23}{5}$
* Multiply tops: $10 \times 23 = 230$
* Multiply bottoms: $1 \times 5 = 5$
* Result: $\frac{230}{5}$
* Simplify: $230 \div 5 = 46$
* Answer: 46

5) $15 \times 3 \frac{1}{6}$
* Convert $3 \frac{1}{6}$ to $\frac{19}{6}$.
* Equation: $\frac{15}{1} \times \frac{19}{6}$
* Multiply tops: $15 \times 19 = 285$
* Multiply bottoms: $1 \times 6 = 6$
* Result: $\frac{285}{6}$
* Both divide by 3: $\frac{95}{2}$
* Convert to mixed number: 2 goes into 95 forty-seven times with 1 left over.
* Answer: $47 \frac{1}{2}$

6) $15 \times 4 \frac{2}{7}$
* Convert $4 \frac{2}{7}$ to $\frac{30}{7}$.
* Equation: $\frac{15}{1} \times \frac{30}{7}$
* Multiply tops: $15 \times 30 = 450$
* Multiply bottoms: $1 \times 7 = 7$
* Result: $\frac{450}{7}$
* Convert to mixed number: 7 goes into 450 sixty-four times ($64 \times 7 = 448$) with 2 left over.
* Answer: $64 \frac{2}{7}$

7) $20 \times 6 \frac{1}{10}$
* Convert $6 \frac{1}{10}$ to $\frac{61}{10}$.
* Equation: $\frac{20}{1} \times \frac{61}{10}$
* You can simplify before multiplying: 20 divided by 10 is 2.
* New Equation: $2 \times 61 = 122$
* Answer: 122

8) $20 \times 5 \frac{4}{5}$
* Convert $5 \frac{4}{5}$ to $\frac{29}{5}$.
* Equation: $\frac{20}{1} \times \frac{29}{5}$
* Simplify first: 20 divided by 5 is 4.
* New Equation: $4 \times 29$
* Calculation: $4 \times 20 = 80$, $4 \times 9 = 36$. $80 + 36 = 116$.
* Answer: 116

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Right Column

9) $3 \frac{3}{7} \times 7$
* Convert $3 \frac{3}{7}$ to $\frac{24}{7}$.
* Equation: $\frac{24}{7} \times \frac{7}{1}$
* The 7s cancel out perfectly.
* Answer: 24

10) $6 \frac{3}{10} \times 70$
* Convert $6 \frac{3}{10}$ to $\frac{63}{10}$.
* Equation: $\frac{63}{10} \times \frac{70}{1}$
* Simplify first: 70 divided by 10 is 7.
* New Equation: $63 \times 7$
* Calculation: $60 \times 7 = 420$, $3 \times 7 = 21$. $420 + 21 = 441$.
* Answer: 441

11) $8 \frac{3}{7} \times 14$
* Convert $8 \frac{3}{7}$ to $\frac{59}{7}$.
* Equation: $\frac{59}{7} \times \frac{14}{1}$
* Simplify first: 14 divided by 7 is 2.
* New Equation: $59 \times 2$
* Calculation: $59 \times 2 = 118$.
* Answer: 118

12) $9 \frac{7}{8} \times 24$
* Convert $9 \frac{7}{8}$ to $\frac{79}{8}$.
* Equation: $\frac{79}{8} \times \frac{24}{1}$
* Simplify first: 24 divided by 8 is 3.
* New Equation: $79 \times 3$
* Calculation: $80 \times 3 = 240$, minus 3 is 237.
* Answer: 237

13) $1 \frac{1}{12} \times 6$
* Convert $1 \frac{1}{12}$ to $\frac{13}{12}$.
* Equation: $\frac{13}{12} \times \frac{6}{1}$
* Simplify first: 6 and 12 both divide by 6. Top becomes 1, bottom becomes 2.
* New Equation: $\frac{13}{2}$
* Convert to mixed number: 2 goes into 13 six times with 1 left over.
* Answer: $6 \frac{1}{2}$

14) $9 \frac{7}{15} \times 5$
* Convert $9 \frac{7}{15}$ to $\frac{142}{15}$.
* Equation: $\frac{142}{15} \times \frac{5}{1}$
* Simplify first: 5 and 15 both divide by 5. Top becomes 1, bottom becomes 3.
* New Equation: $\frac{142}{3}$
* Convert to mixed number: 3 goes into 142 forty-seven times ($47 \times 3 = 141$) with 1 left over.
* Answer: $47 \frac{1}{3}$

15) $14 \frac{11}{18} \times 36$
* Convert $14 \frac{11}{18}$ to $\frac{263}{18}$.
* Equation: $\frac{263}{18} \times \frac{36}{1}$
* Simplify first: 36 divided by 18 is 2.
* New Equation: $263 \times 2$
* Calculation: $263 \times 2 = 526$.
* Answer: 526

16) $18 \frac{3}{4} \times 40$
* Convert $18 \frac{3}{4}$ to $\frac{75}{4}$.
* Equation: $\frac{75}{4} \times \frac{40}{1}$
* Simplify first: 40 divided by 4 is 10.
* New Equation: $75 \times 10$
* Answer: 750

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Final Answer:
Left Column:
1) 20
2) $13 \frac{3}{4}$
3) $23 \frac{1}{3}$
4) 46
5) $47 \frac{1}{2}$
6) $64 \frac{2}{7}$
7) 122
8) 116

Right Column:
9) 24
10) 441
11) 118
12) 237
13) $6 \frac{1}{2}$
14) $47 \frac{1}{3}$
15) 526
16) 750