- Converting Between Fractions, Decimals, and Percents
- Home
- Converting a Fraction with a Denominator of 100 to a Percentage
- Converting a Percentage to a Fraction with a Denominator of 100
- Finding the Percentage of a Grid that is Shaded
- Representing Benchmark Percentages on a Grid
- Introduction to Converting a Percentage to a Decimal
- Introduction to Converting a Decimal to a Percentage
- Converting Between Percentages and Decimals
- Converting Between Percentages and Decimals in a Real-World Situation
- Converting a Percentage to a Fraction in Simplest Form
- Converting a Fraction to a Percentage: Denominator of 4, 5, or 10
- Finding Benchmark Fractions and Percentages for a Figure
- Converting a Fraction to a Percentage: Denominator of 20, 25, or 50
- Converting a Fraction to a Percentage in a Real-World Situation

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

# Converting a Fraction to a Percentage in a Real-World Situation

In this lesson, we solve real world problems involving conversion of fractions into percentages.

In a survey one in five people said they preferred a certain brand of fast food. Write this figure as a percentage.

### Solution

**Step 1:**

The fraction of people preferring a certain brand of fast food = $\frac{1}{5}$

**Step 2:**

We multiply and divide the fraction by 20

$\frac{1}{5} = (1 \times 20) \div (5 \times 20) = \frac{20}{100}$

**Step 3:**

Writing this fraction as a percentage

By definition, $\frac{20}{100}$ = 20%

So, $\frac{1}{5}$ = 20%

Jamila is working out a problem involving $\mathbf{\frac{2}{3}}$. She needs to enter this fraction into a calculator. How would she enter $\mathbf{\frac{1}{4}}$ as a decimal on the calculator?

### Solution

**Step 1:**

The fraction of people preferring a certain brand of fast food = $\frac{2}{3}$ On long division

$\frac{2}{3}$ = 0.6667

**Step 2:**

We multiply the decimal by 100

$0.6667 \times 100 = 66.67\%$

**Step 3:**

So, $\frac{2}{3}$ = 66.67%

In a clearance sale, a shop offers 30% off the original prices. What fraction is taken off the prices?

### Solution

**Step 1:**

The percentage off on original prices in the shop = 30%

**Step 2:**

By definition of percent

30% = $\frac{30}{100} = \frac{3}{10}$

**Step 3:**

So, 30% = $\frac{3}{10}$