Percentage, Decimal, Fractions

Percentage to Decimal

Divide the percentage by 100.

Example: 75% = \frac{75}{100} = 0.75

Decimal to Percentage

Multiply the decimal by 100.

Example: 0.25 = 0.25 \* 100 = 25%

Fraction to Decimal

Divide the numerator by the denominator.

Example: \frac{3}{4} = 3 ÷ 4 = 0.75

Decimal to Fraction

1. Write the decimal as a fraction with a denominator of 1 (e.g., 0.75 = \frac{0.75}{1}).

2. Multiply the numerator and denominator by 10 until the numerator is a whole number (e.g., \frac{0.75}{1} \* \frac{100}{100} = \frac{75}{100}).

3. Simplify the fraction (e.g., \frac{75}{100} = \frac{3}{4}).

Percentage to Fraction

1. Write the percentage as a fraction with a denominator of 100 (e.g., 40% = \frac{40}{100}).

2. Simplify the fraction (e.g., \frac{40}{100} = \frac{2}{5}).

Fraction to Percentage

1. Convert the fraction to a decimal (e.g., \frac{1}{4} = 0.25).

2. Multiply the decimal by 100 (e.g., 0.25 \* 100 = 25%).

Percentage of Something

This means you’re finding part of a number based on a percent.

Formula:
\text{Percentage of a number} = \left( \frac{\text{Percentage}}{100} \right) \times \text{That number}

Example:
What is 30% of 200?

\left( \frac{30}{100} \right) \times 200 = 0.3 \times 200 = 60

Fraction of Something

This means you’re taking a part of a number using a fraction.

Formula:
\text{Fraction of a number} = \text{Fraction} \times \text{That number}

Example:
What is \frac{2}{5} of 100?

\frac{2}{5} \times 100 = 40

💡 Tip:

• “of” usually means multiply in both cases.

• So:

  • Percent of = (percent ÷