Fraction to Percent Converter

What “Fraction to Percent” Means

Converting a fraction to a percent is simply changing the way you express the same value. A fraction such as 3/4 tells you “three out of four.” A percent tells you “out of one hundred.” They describe the same ratio, just scaled differently.

The most reliable conversion method is: turn the fraction into a decimal by dividing the numerator by the denominator, then multiply by 100. That gives a percent value you can compare quickly, use in grades, discounts, probability, and everyday ratios.

The Core Formula

If your fraction is a mixed number, convert it to an improper fraction first. If your input is already a decimal, you can jump straight to multiplying by 100. This tool shows the fraction, decimal, and percent together so you can see how each form matches.

Why Percent Is Often Easier to Read

Percent is a standard way to compare values quickly. For example, comparing 7/10 and 3/4 is easier once you see 70% versus 75%. Percent also connects naturally to everyday language: 20% off, 95% score, 2% interest, 60% chance, and so on.

Step-by-Step: Converting Fractions to Percent

When you enter a fraction, the calculator can show steps that follow this pattern:

1. Simplify the fraction (optional but recommended).
2. Convert to a decimal by dividing numerator by denominator.
3. Multiply the decimal by 100 to get percent.
4. Round or format to your chosen decimal places.

Example: 3/4

Example: 1/8

Mixed Numbers to Percent

Mixed numbers appear often in measurements (like 2 1/2 inches) and in everyday math. The easiest way to convert a mixed number to percent is to convert it to an improper fraction first, then follow the same steps as any fraction.

Mixed → Improper

Example: 2 1/2

Notice the percent can be greater than 100%. That’s normal whenever the value is greater than 1.

Decimals to Percent

Decimal inputs are a shortcut: percent is simply decimal × 100. If you have 0.07, it is 7%. If you have 1.25, it is 125%. The only decisions you typically make are how many decimal places to show and whether to round.

Repeating Decimals and Rounding

Some fractions convert to repeating decimals, which means the percent also repeats. The classic example is 1/3:

In real tasks, you usually choose a practical rounding rule (for example, two decimal places for a grade report). This converter lets you choose the number of percent decimals so your result matches the format you need.

Percent to Fraction: The Reverse Conversion

Sometimes you’re given a percent and want the exact fraction form. The rule is simple: write the percent as a number over 100 and simplify.

Example: 75%

What About 12.5%?

For a percent with decimal places, you can still write it over 100, but you may also remove the decimal by multiplying numerator and denominator by a power of 10:

Score Percent: The Most Common Real-World Use

Grades and test scores are basically fraction to percent problems. If you got 18 correct out of 20, that is 18/20. Convert it to percent:

The Score tab exists to make this quick without changing your mental model: earned/total is the fraction, and the calculator returns decimal and percent.

Common Fraction-to-Percent Benchmarks

It helps to recognize a few common conversions instantly. Even if you use a calculator, benchmarks make it easier to sanity-check results.

• 1/2 = 50%
• 1/4 = 25%
• 3/4 = 75%
• 1/5 = 20%
• 1/10 = 10%
• 1/8 = 12.5%
• 2/3 ≈ 66.67%

Common Mistakes This Converter Helps Prevent

• Forgetting to divide first: a/b is not “a% of b” — it’s a ratio that must be divided to get a decimal.
• Wrong denominator: entering denominator as 0 (undefined value).
• Rounding too early: rounding the decimal before multiplying by 100 can shift the percent slightly.
• Mixed-number confusion: not converting w a/b to an improper fraction correctly.
• Sign issues: losing the negative sign when converting.

Which Output Format Should You Use?

If you need to compare ratios quickly, percent is best. If you need exactness for multi-step work, the simplified fraction is best. If you are feeding the number into software or a calculator, decimal is often the most convenient. That’s why this converter shows all three formats together.