How to convert a fraction or decimal to a percentage (with examples)
© The Maths Studio (themathsstudio.net)
To convert a decimal into a percentage, you can follow these steps:
1. *Multiply the Decimal by 100:*
Multiply the decimal by 100 to express it as a percentage.
Example: For the decimal 0.75, you would perform 0.75 × 100 = 75.
2. *Add the Percentage Symbol (%):*
Append the percentage symbol to the result.
Example: 75% is the percentage representation of the decimal 0.75.
In general, the process can be summarised with the following formula:
Percentage = Decimal × 100
This formula expresses the decimal as a percentage by multiplying it by 100.
To convert a fraction into a percentage, you can follow these steps:
1. *Convert the Fraction to a Decimal:*
Divide the numerator (top number) by the denominator (bottom number) to get a decimal.
Example: 3/4 can be converted to a decimal by performing = 0.75.
2. *Convert the Decimal to a Percentage:*
Multiply the decimal by 100 and add the percentage symbol (%).
Example: 0.75 × 100 = 75%.
Therefore, 3/4 is equivalent to 75%.
In general, the process can be summarised with the following formula:
Percentage = Numerator ÷ Denominator × 100, then add the percent symbol "%" to the answer.
This formula expresses the fraction as a decimal and then converts the decimal to a percentage by multiplying by 100.
Remember that percentages are a way of expressing parts of a whole out of 100, so converting fractions to percentages is a common operation in various mathematical and real-world contexts.
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