What is one eighth in percentage?

Understand the Problem

The question is asking for the conversion of one eighth into a percentage. To solve this, we will convert the fraction 1/8 into a percentage by multiplying it by 100.

Answer

The percentage equivalent of one eighth is $12.5\%$.
Answer for screen readers

The percentage equivalent of one eighth is $12.5%$.

Steps to Solve

  1. Write the fraction as a multiplication We know that to convert a fraction to a percentage, we multiply it by 100. We can express this as: $$ \frac{1}{8} \times 100 $$

  2. Perform the multiplication Calculate the multiplication: $$ \frac{1 \times 100}{8} = \frac{100}{8} $$

  3. Simplify the fraction Now, we simplify ( \frac{100}{8} ): $$ \frac{100}{8} = 12.5 $$

  4. State the final percentage Thus, the final step is to express the result as a percentage: $$ 12.5% $$

The percentage equivalent of one eighth is $12.5%$.

More Information

Converting fractions to percentages is a common mathematical skill. One eighth means you have one part out of eight total parts, which when converted to a percentage gives a clearer understanding of its value in a different format.

Tips

  • Not multiplying the fraction by 100 correctly. Always ensure to multiply the numerator by 100 and divide by the denominator.
  • Forgetting to simplify the fraction before converting it to a decimal.

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