Fraction Conversion – Step-by-Step Guides & Free Worksheets

To convert a fraction into a decimal, simply divide the numerator (top number) by the denominator (bottom number). This is a fundamental skill for comparing values and working with money or measurements. Learn the method with a simple example:

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

Converting decimals to fractions is a key step in simplifying problems. Follow this simple 3-step guide to master the process:

1. Write the decimal over 1. Example: $\frac{0.75}{1}$
2. Multiply the numerator and denominator by a power of 10 to clear the decimal. Example: $\frac{75}{100}$
3. Simplify the fraction to its lowest terms. Example: $\frac{3}{4}$

To convert a fraction to a percent, first change it into a decimal, then multiply by 100 and add the percent symbol. Mastering this is crucial for understanding statistics and real-world data.

Example:

$\frac{1}{2}=0.5=50\%$

Write the percent as a fraction over 100, then simplify if possible. This is a straightforward method for turning a percentage back into a simple fraction.

Example:

$25\%=\frac{25}{100}=\frac{1}{4}$

Improper fraction to mixed number: Divide the numerator by the denominator. The quotient is the whole number part, and the remainder becomes the new numerator.

Mixed number to improper fraction: Multiply the whole number by the denominator and add the numerator. Keep the denominator the same.