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

  1. Convert the fraction to a decimal

To convert the fraction ( \frac{8}{5} ) to a decimal, divide the numerator (8) by the denominator (5):

$$ \frac{8}{5} = 1.6 $$

  1. Multiply the decimal by 100

Next, convert the decimal 1.6 to a percentage by multiplying it by 100:

$$ 1.6 \times 100 = 160 $$

  1. 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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