Fraction to Percent Calculator

How the Fraction to Percent Works:

Formula:

To convert a fraction $\frac{n}{d}$ to a percent:

$$\text{Percent} = \left( \frac{n}{d} \right) \times 100$$

where:

• $n$ is the numerator.
• $d$ is the denominator.

Steps & Examples

Example 1: Converting a Simple Fraction

Fraction: $\frac{3}{4}$

1. Divide the numerator by the denominator: $$\frac{3}{4} = 0.75$$
2. Multiply by 100 to get the percentage: $$0.75 \times 100 = 75\%$$

Result: $\frac{3}{4}$ is equivalent to 75%.

Example 2: Converting with a Larger Denominator

Fraction: $\frac{5}{8}$

1. Divide the numerator by the denominator: $$\frac{5}{8} = 0.625$$
2. Multiply by 100 to get the percentage: $$0.625 \times 100 = 62.5\%$$

Result: $\frac{5}{8}$ is equivalent to 62.5%.

Example 3: Rounding the Result

Fraction: $\frac{7}{3}$

1. Divide the numerator by the denominator: $$\frac{7}{3} = 2.33333…$$
2. Multiply by 100 to get the percentage: $$2.33333… \times 100 = 233.3333…\%$$
3. Rounding the Result: If rounding to 2 decimal places: $$233.3333… \approx 233.33\%$$

Result: $\frac{7}{3}$ is approximately 233.33% when rounded to 2 decimal places.

Special Cases

• Improper Fractions: Fractions where the numerator is greater than the denominator (e.g., $\frac{7}{3}$) will produce a percent greater than 100%.
• Negative Fractions: If either the numerator or denominator is negative, the resulting percent will be negative.

Use Cases

• Convert any fraction to its percentage form: This is especially useful for understanding proportions in percentages.
• Rounding the result for clarity or precision: You can choose to round the percentage to the nearest whole number or to a specific number of decimal places.