What is 18/31 as a percentage?
Understand the Problem
The question is asking how to convert the fraction 18/31 into a percentage. This involves dividing 18 by 31 and then multiplying the result by 100 to express it as a percentage.
Answer
The percentage equivalent of the fraction \( \frac{18}{31} \) is approximately \( 58.06\% \).
Answer for screen readers
The percentage equivalent of the fraction ( \frac{18}{31} ) is approximately ( 58.06% ).
Steps to Solve
- Divide the numerator by the denominator
To convert the fraction into a decimal, divide the numerator (18) by the denominator (31).
$$ \text{Decimal} = \frac{18}{31} $$
- Calculate the division
Perform the division:
$$ \frac{18}{31} \approx 0.5806451613 $$
- Multiply by 100 to convert to a percentage
To express the decimal as a percentage, multiply the result by 100.
$$ \text{Percentage} = 0.5806451613 \times 100 $$
- Final Calculation
Calculate the multiplication:
$$ \text{Percentage} \approx 58.06451613 $$
- Round to a suitable number of decimal places
Typically, percentages are rounded to two decimal places, giving:
$$ \text{Percentage} \approx 58.06% $$
The percentage equivalent of the fraction ( \frac{18}{31} ) is approximately ( 58.06% ).
More Information
When converting fractions to percentages, the result represents the part of a whole. In this case, ( 58.06% ) indicates that 18 is about 58.06% of 31. This method can be used for any fraction.
Tips
- Not multiplying by 100: Sometimes people forget to multiply the decimal by 100 after division, which leads to the wrong answer.
- Rounding too soon: Rounding before doing the final multiplication can lead to inaccuracies. Always use the full decimal in calculations before rounding.
