- 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
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# Word Problem Involving Fractions and Multiplication

A food joint used five pounds of vegetables during a lunch rush. If they used one-twelfth as much meat, how many pounds of meat did they use?

### Solution

**Step 1:**

Number of pounds of vegetables used = 5

**Step 2:**

Number of pounds of meat used = $\frac{1}{12}$ of 5 pounds

= $\frac{1}{12}$ × 5 = $\frac{5}{12}$ pounds.

A cook used seven kilograms of rice for a dinner party. If the guests only ate three-fifths of the rice he cooked, how much did they eat?

### Solution

**Step 1:**

Number of kilograms of rice cooked = 7

**Step 2:**

Number of kilograms of rice eaten

= $\frac{3}{5}$ of 7 = $\frac{3}{5}$ × 7

= $\frac{3}{5}$ × $\frac{7}{1}$ = $\frac{(3×7)}{(5×1)}$

= $\frac{21}{5}$ = 4$\frac{1}{5}$

Each day a company used nine-tenths of a box of paper. How many boxes would they have used after three days?

### Solution

**Step 1:**

Number of boxes of paper used per day = $\frac{9}{10}$

**Step 2:**

Number of boxes of paper used in three days

= 3 × $\frac{9}{10}$ = $\frac{3}{1}$ × $\frac{9}{10}$

= $\frac{(3×9)}{(1×10)}$ = $\frac{27}{10}$ = 2$\frac{7}{10}$