# Word problem involving multiplication or division with mixed numbers Online Quiz

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Q 1 - Brenda bought some packages of gum at a store and ate threeeighths of a package each week. How many packages would she have eaten after $\mathbf {7\frac{1}{2}}$ weeks?

### Explanation

Step 1:

Packages used in a week = $\frac{3}{8}$

Number of weeks = $7\frac{1}{2}$ = $\frac{15}{2}$

Step 2:

Number of packages of gum used in $7\frac{1}{2}$ weeks = $7\frac{1}{2} \times \frac{3}{8}$

= $\frac{15}{2} \times \frac{3}{8}$ = $\frac{45}{16}$ = $2\frac{13}{16}$

Q 2 - A food joint used $\mathbf {4\frac{1}{6}}$ pounds of potatoes during a lunch hour. If they used two-ninth as much meat, how many pounds of meat did they use?

### Explanation

Step 1:

Amount of potatoes used = $4\frac{1}{6}$ = $\frac{25}{6}$ pounds

Step 2:

Amount of meat used = $\frac{2}{9}$ of $4\frac{1}{6}$ pounds

= $\frac{2}{9} \times 4\frac{1}{6}$ pounds

= $\frac{2}{9} \times \frac{25}{6}$ = $\frac{25}{27}$ pounds

Q 3 - Ronnie stacked $\mathbf {4\frac{1}{3}}$ pieces of wood on top of one another. If each piece was two-thirds of a foot tall, how tall was his pile?

### Explanation

Step 1:

Number of pieces of wood stacked = $4\frac{1}{3}$ = $\frac{13}{3}$

Length of each wood piece = $\frac{2}{3}$ feet

Step 2:

Length of pieces of wood stacked = $4\frac{1}{3} \times \frac{2}{3}$

= $\frac{13}{3} \times \frac{2}{3}$ = $\frac{26}{9}$ = $2\frac{8}{9}$ feet

Q 4 - Every day an office uses $\mathbf {2\frac{1}{4}}$ of a box of paper. How many boxes would they have used after 7 days?

### Explanation

Step 1:

Number of boxes of paper used per day = $2\frac{1}{4}$ = $\frac{9}{4}$

Number of days = 7

Step 2:

Number of boxes used in 7 days = $7 \times 2\frac{1}{4}$

= $\frac{7}{1} \times \frac{9}{4}$ = $\frac{63}{4}$ = $15\frac{3}{4}$

Q 5 - A worker can clean $\mathbf {2\frac{1}{3}}$ windows in an hour. How many windows can he clean in three-eighths of an hour?

### Explanation

Step 1:

Number of windows cleaned in 1 hour = $2\frac{1}{3}$ = $\frac{7}{3}$

Number of hours = $\frac{3}{8}$

Step 2:

Number of windows cleaned in $\frac{3}{8}$ hour = $\frac{3}{8} \times 2\frac{1}{3}$

= $\frac{3}{8} \times \frac{7}{3}$ = $\frac{7}{8}$ window

Q 6 - A bag of walnuts was $\mathbf {5\frac{1}{2}}$ pounds. How many one-sixth of a pound servings are there in each bag?

### Explanation

Step 1:

Weight of a bag of walnuts = $5\frac{1}{2}$ = $\frac{11}{2}$ pounds

Weight of one serving = $\frac{1}{6}$ pound

Step 2:

Number of servings per bag = $5\frac{1}{2} \div \frac{1}{6}$

= $\frac{11}{2} \div \frac{1}{6}$ = $\frac{11}{2} \times \frac{6}{1}$ = $33$

Q 7 - A cook used $\mathbf {1\frac{1}{3}}$ of a bag of potatoes for a meal. If 6 people ate the meal, how much did each person eat?

### Explanation

Step 1:

Number of bags of potatoes used = $1\frac{1}{3}$ = $\frac{4}{3}$

Number of persons who ate = $6$

Step 2:

Amount of potatoes eaten by each person = $1\frac{1}{3} \div 6$

= $\frac{4}{3} \div \frac{6}{1}$= $\frac{4}{3} \times \frac{1}{6}$ = $\frac{2}{9}$ bag

Q 8 - A store had $\mathbf {4\frac{2}{3}}$ cartons of candles. How many days would it take to sell the candles if each day they sold three-eighths of a carton of candles?

### Explanation

Step 1:

Number of cartons of candles = $4\frac{2}{3}$ = $\frac{14}{3}$

Number of cartons sold per day = $\frac{3}{8}$

Step 2:

Number of days it would take to sell all candles = $4\frac{2}{3} \div \frac{3}{8}$

= $\frac{14}{3} \div \frac{3}{8}$ = $\frac{14}{3} \times \frac{8}{3}$ = $1\frac{12}{9}$

= $12\frac{4}{9}$ days

Q 9 - Jamie used $\mathbf {4\frac{1}{3}}$ cups of sugar to make lemonade. If he were to pour the lemonade into 6 glasses how much sugar would be there in each glass?

### Explanation

Step 1:

Number of cups of sugar used = $4\frac{1}{3}$ = $133$ cups

Number of glasses = $6$

Step 2:

Number of cups of sugar used per glass = $4\frac{1}{3} \div 6$

= $\frac{13}{3} \div \frac{6}{1}$ = $\frac{13}{3} \times \frac{1}{6}$

= $\frac{13}{18}$ cup

Q 10 - At the end of the day, a food joint had $\mathbf {3\frac{2}{3}}$ pounds of leftover food. If 4 employees wanted to split it, how much would each employee get?

### Explanation

Step 1:

Amount of leftover food = $3\frac{2}{3}$ = $\frac{11}{3}$ pounds

Number of employees = $4$

Step 2:

Amount of food per employee = $3\frac{2}{3} \div 4$

= $\frac{11}{3} \div \frac{4}{1}$ = $\frac{11}{3} \times \frac{1}{4}$

= $\frac{11}{12}$ pound

word_problem_involving_multiplication_or_division_with_mixed_numbers.htm