6 Questions
What is the equivalent fraction of 33.33%?
2/3
If 25% of a certain number is 30, what is the number?
90
If an amount increases by 9.09%, what is the new total if the original amount was 220?
240
What is 16.66% of 180?
24
What is the decimal equivalent of 5.55%?
0.0555
If a student studied 14.28% of a course, what fraction of the course did they cover?
1/7
Study Notes
Converting Fractions to Percentages
- All percentages can be represented as a ratio with the denominator as 100.
- Converting fractions to percentages and vice versa is useful for calculations.
- Common fractions and their percentage conversions should be learned, such as:
- 1/2 = 50%
- 1/3 = 33.33%
- 1/4 = 25%
- 1/7 = 14.28%
- 1/8 = 12.5%
- 1/9 = 11.11%
- 1/10 = 10%
Solving Percentage Problems
- To find a percentage of a number, multiply the number by the ratio equivalent to the percentage.
- For example, 14.28% of 560 = (1/7) × 560 = 80.
- To find a percentage when the ratio is not exact, convert the ratio to an equivalent fraction and then multiply. For example, 37.5% of 720 = (3/8) × 720 = 270.
Understanding Percentages
- A percentage is essentially a ratio.
- For example, 25% of a certain number of sweets means 25 out of 100 sweets, or 9 out of 36 sweets, or 1 out of 4 sweets.
- This ratio approach can be used to understand and calculate percentage problems.
Test your knowledge on converting fractions to percentages with this quiz. Practice converting fractions like 1/2 to 50% or 1/9 to 11.11%.
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