What is 8/5 as a percentage?
Understand the Problem
The question is asking to convert the fraction 8/5 into a percentage. This involves multiplying the fraction by 100 to express it as a part of 100.
Answer
$160\%$
Answer for screen readers
The fraction ( \frac{8}{5} ) is equal to 160%.
Steps to Solve
- Convert the fraction to a decimal
To convert the fraction ( \frac{8}{5} ) to a decimal, divide the numerator (8) by the denominator (5):
$$ \frac{8}{5} = 1.6 $$
- Multiply the decimal by 100
Next, convert the decimal 1.6 to a percentage by multiplying it by 100:
$$ 1.6 \times 100 = 160 $$
- Express as a percentage
This means that ( \frac{8}{5} ) is equal to 160%, so we write it as:
$$ \frac{8}{5} = 160% $$
The fraction ( \frac{8}{5} ) is equal to 160%.
More Information
When converting a fraction to a percentage, multiplying by 100 effectively tells us how many parts out of 100 the fraction represents. This method can be applied to any fraction.
Tips
- Incorrect division: Some may mistakenly calculate ( \frac{8}{5} ) incorrectly. Ensure division is performed carefully.
- Forgetting to multiply by 100: It's essential to multiply the decimal by 100 to convert it into a percentage.
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