- Multiply and Divide Fractions
- Home
- Product of a Unit Fraction and a Whole Number
- Product of a Fraction and a Whole Number: Problem Type 1
- Introduction to Fraction Multiplication
- Fraction Multiplication
- Product of a Fraction and a Whole Number Problem Type 2
- Determining if a Quantity is Increased or Decreased When Multiplied by a Fraction
- Modeling Multiplication of Proper Fractions
- Multiplication of 3 Fractions
- Word Problem Involving Fractions and Multiplication
- The Reciprocal of a Number
- Division Involving a Whole Number and a Fraction
- Fraction Division
- Fact Families for Multiplication and Division of Fractions
- Modeling Division of a Whole Number by a Fraction
- Word Problem Involving Fractions and Division

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

Following quiz provides Multiple Choice Questions (MCQs) related to **Word Problem Involving Fractions and Multiplication**. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using **Show Answer** button. You can use **Next Quiz** button to check new set of questions in the quiz.

Q 1 - A jerry-can holds two-thirds of a gallon of fuel. If Peter filled up twelve jerry-cans, how much fuel would he have?

**Step 1:**

Fuel in one jerry can = $\frac{2}{3}$ gallon

**Step 2:**

Fuel in twelve jerry cans = 12 × $\frac{2}{3}$ = $\frac{12}{1}$ × $\frac{2}{3}$

= $\frac{4}{1}$ × $\frac{2}{1}$ = $\frac{8}{1}$ = 8 gallons

Q 2 - Each day an office used seven-eighths of a box of paper. How many boxes would they have used after four days?

**Step 1:**

Paper used in one day = $\frac{7}{8}$ box

**Step 2:**

Paper used in 4 days = 4 × $\frac{7}{8}$ = $\frac{4}{1}$ × $\frac{7}{8}$

= $\frac{1}{1}$ × $\frac{7}{2}$ = $\frac{7}{2}$ = 3$\frac{1}{2}$ boxes

Q 3 - A bakery uses four cups of flour to make a full size cake. If they wanted to make a cake five-eighths the size, how many cups of flour would they need?

**Step 1:**

Flour used for 1 cake = 4 cups

**Step 2:**

Flour used for $\frac{5}{8}$ cake = 4 × $\frac{5}{8}$ = $\frac{4}{1}$ × $\frac{5}{8}$

= $\frac{1}{1}$ × $\frac{5}{2}$ = $\frac{5}{2}$ = 2$\frac{1}{2}$ cups

Q 4 - A farmer gives each of his cattle one-fourths of a bundle of grass every day. If he has eight cows, how many bundles of grass does he use every day?

**Step 1:**

Grass given to one cow = $\frac{1}{4}$ bundle

**Step 2:**

Grass given to eight cows = 8 × $\frac{1}{4}$ = $\frac{8}{1}$ × $\frac{1}{4}$

= $\frac{2}{1}$ × $\frac{1}{1}$ = $\frac{2}{1}$ = 2 bundles

Q 5 - A chef cooked seven kilograms of rice for a party. If the guests ate two-fifths of the amount that was cooked, how much did they eat?

**Step 1:**

Rice cooked = 7 kilograms

**Step 2:**

Rice eaten by guests = $\frac{2}{5}$ of 7 kilograms

= $\frac{2}{5}$ × 7 = $\frac{2}{5}$ × $\frac{7}{1}$

= $\frac{14}{5}$ = 2$\frac{4}{5}$ kilograms

Q 6 - Larson ran six miles on the first day of his training. The next day he ran two-sixths of that distance. How far did he run on the second day?

**Step 1:**

Distance run on first day = 6 miles

**Step 2:**

Distanced run on second day = $\frac{2}{6}$ of 6 miles

= $\frac{2}{6}$ × 6 = $\frac{2}{6}$ × $\frac{6}{1}$

= $\frac{2}{1}$ = 2 miles

Q 7 - Olsen stacked five pieces of wood on top of one another. If each piece was one-eighth of a foot tall, how tall was his pile?

**Step 1:**

Number of pieces of wood stacked = 5

Length of each piece = $\frac{1}{8}$ foot

**Step 2:**

Height of the pile = $\frac{1}{8}$ × 5 = $\frac{1}{8}$ × $\frac{5}{1}$ = $\frac{5}{8}$ foot

Q 8 -A food joint used four pounds of potatoes during lunch hour. If they used one-fifth as much pork, how many pounds of pork did they use?

**Step 1:**

Weight of potatoes used = 4 pounds

**Step 2:**

Weight of pork used = $\frac{1}{5}$ of 4 pounds

= $\frac{1}{5}$ × 4 = $\frac{4}{5}$ pounds

Q 9 - It takes two-fifths of a box of nails to make a bird cage. If you wanted to make four bird cages, how many boxes of nails would you need?

**Step 1:**

Boxes used for one cage = $\frac{2}{5}$

**Step 2:**

Boxed used for four cages = $\frac{2}{5}$ × 4 = $\frac{2}{5}$ × $\frac{4}{1}$

= $\frac{(2×4)}{(5×1)}$ = $\frac{8}{5}$ = 1$\frac{3}{5}$ boxes

Q 10 - Santana lives nine miles from his school. If he rode a bike five-sixths of the distance and then walked the rest, how far did he ride the bike?

**Step 1:**

Distance from school = 9 miles

**Step 2:**

Distance traveled on bike = $\frac{5}{6}$ × 9 = $\frac{5}{6}$ × $\frac{9}{1}$

= $\frac{5}{2}$ × $\frac{3}{1}$ = $\frac{15}{2}$ = 7$\frac{1}{2}$ miles

word_problem_involving_fractions_and_multiplication.htm

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