Decimals and Percents

Fraction to Decimal

Divide the numerator by the denominator

$\frac{3}{4} = 3 \div 4 = 0.75$

Decimal to Fraction

Use place value

$0.6 = \frac{6}{10} = \frac{3}{5}$ $0.25 = \frac{25}{100} = \frac{1}{4}$

Percent Basics

Percent means "per hundred" or "out of 100"

$50\% = \frac{50}{100} = 0.50$

Percent to Decimal

Divide by 100 (move decimal left 2 places)

• $45\% = 0.45$
• $8\% = 0.08$
• $125\% = 1.25$

Decimal to Percent

Multiply by 100 (move decimal right 2 places)

• $0.35 = 35\%$
• $0.08 = 8\%$
• $1.5 = 150\%$

Fraction to Percent

Convert to decimal first, then to percent: $\frac{3}{5} = 0.6 = 60\%$

Or multiply by 100: $\frac{3}{5} \times 100\% = \frac{300}{5}\% = 60\%$

Common Conversions

• $\frac{1}{2} = 0.5 = 50\%$
• $\frac{1}{4} = 0.25 = 25\%$
• $\frac{3}{4} = 0.75 = 75\%$
• $\frac{1}{5} = 0.2 = 20\%$