Percentage to Fraction Conversion for Speed Understanding Percentage and Fractions: A percentage is a ratio of two parts of a whole, expressed as a num...
Understanding Percentage and Fractions:
A percentage is a ratio of two parts of a whole, expressed as a number between 0 and 1.
A fraction is a part of a whole divided into equal parts.
To convert a percentage to a fraction, we need to divide the percentage by 100.
Converting Percentage to Fraction:
Divide the part by the whole: Divide the obtained value by the original whole.
Write the result as a fraction: Express the quotient as a fraction with a numerator and denominator of 2.
Example:
Convert 75% to a fraction:
75 ÷ 100 = 0.75
0.75 divided by 2 is 0, which makes the fraction 0/2.
Therefore, 75% = 0/2.
Converting Fraction to Percentage:
Identify the numerator and denominator: Use the values of the numerator and denominator in the fraction.
Multiply the numerator by 100: Multiply the numerator by 100 to convert it to a percentage.
Example:
Convert 3/4 to a percentage:
Numerator: 3
Denominator: 4
3 ÷ 4 = 0, which makes the fraction 0/4.
Therefore, 3/4 = 0%.
Key Points:
Converting percentages to fractions involves dividing the percentage by 100 and then dividing the result by the original whole.
Converting fractions to percentages involves multiplying the numerator by 100.
Understanding fractions allows us to compare and mix speeds that use percentages and fractions effectively